Curriculum Vitae of Engineer Ahmed R. Aziz_2016

Curriculum Vitae of Researcher Engineer Ahmed Rafique Aziz

Bismillah Hir Rahmanir Rahim La Ela Ha El Lal Lahu Muhammadur Rasul-Allah (P.B.U.H)

CURRICULUM VITAE OF

ENGINEER AHMED RAFIQUE AZIZ

B.Sc Engineer , Electrical & Electronics Engineering

Instructor ( Tech . ) , Computer Technology

Skills & Training Enhancements Project ( STEP ) ,

Bangladesh Technical Education Board ( BTEB ) .

Cox’s Bazar Polytechnic Institute , Cox’s Bazar -4700 , Bangladesh .

Employee ID : 8438100046

Directorate of Technical Education ( DTE ) , Dhaka , Bangladesh .

Bangladesh Technical Education Board ( BTEB ) , Dhaka , Bangladesh .

Photograph

House No : 02 , Flat No : Left Wing ( First Floor ) ,

Tareq Plaza , BSCIC I / A , Link Road ,

Zilongza , Cox’s Bazar -4700 , Bangladesh . Phone : +88-01721-153960 / +88-01927-293638 / +88-01881-692182

E-mail : [email protected]

[01] Abstract

Having profound iman (faith) on omniscient Allah,inspired with the exemplaries of my beloved Holy

Prophet Rasul-Allah Hazrat Muhammed (P.B.U.H) and my beloved woman Khatun-e-Jannat Syedina

Hazrat Fatima Zahra (R.A),conceiving immense Islam as the philosophy of life and strictly following Holy

Quran Mazid ,as a mumeen Muslim Researcher ,Theorist Geometer,Engineer and Teacher of University,I

( Researcher Engineer Ahmed Rafique Aziz) would like to innovate and improvise unexplored

Engineering ,Science and Technology and would like to add notable contribution in Engineering,

Science and Technology through theoretical and laboratory original and non-original researches

emphasizing lagging Muslim people in the ever increasing fields of Mathematics and Electrical &

Electronics Engineering .Significantly,I am entirely self-taught and self motivated in my invented original

researches.I have keen insight and observation relevant to Mathematics substantially on Geometry as

Geometry ,explicitly and implicitly is the single branch for entire Science and Engineering measurement

purposes for essential enhancements and enrichments and sharp understanding corresponding to

several recent advanced branches of Electrical and Electronics Engineering. Having built-in Islamic spirit,

I would like to light up Muslim Science and Technology to sustain Scientific teachings of beloved Holy

Prophet Rasul-Allah Hazrat Muhammed (P.B.U.H) rigidly steady compatible with ongoing time.

mailto:[email protected]


[02] Personal Informations :

Name : Ahmed Rafique Aziz Designation : Engineer Ahmed Rafique Aziz

B.Sc Engineer , Electrical & Electronics Engineering

Instructor ( Tech . ) , Computer Technology

Skills & Training Enhancements Project ( STEP ) ,

Bangladesh Technical Education Board ( BTEB ) .

Cox’s Bazar Polytechnic Institute , Cox’s Bazar -4700 , Bangladesh .

Date of Joining : 22th September , 2015 to Present .

Employee ID : 8438100046

Directorate of Technical Education ( DTE ) , Dhaka , Bangladesh .

Bangladesh Technical Education Board ( BTEB ) , Dhaka , Bangladesh .

Professor [ Assessed ], Original Researcher [ Work ] , Original Theorist . Geometry of Euclidean Spaces , Pure Mathematics.

Geometry of Non-Euclidean Spaces , Modern Geometry .

Engineering Mathematics , Geometrical Design and Measurements , Mathematics .

Present Status : Active in Diploma Engineering Teaching .

Graduation : Khulna University of Engineering and Technology (KUET , 2012 ),

Khulna-9203 , Bangladesh.

Father’s Name : Late A.B.M. Mahbubul Alam Mother’s Name : Mrs.Rafiqa Alam Date of Birth : 17th November,1984. Religion : Islam ( Sunni) Sex : Male Blood Group : B+ ( B Positive ) Zodiac : Scorpion Height : 5 Feet 5 Inches ( 165 centimeters) Nationality : Bangladeshi ( By Birth) Marital Status : Unmarried. Present Mailing Address : Engineer Ahmed Rafique Aziz , 1st Floor (Left Wing) , Tareq Plaza , BSCIC I

/ A , Link Road , Zilongza , Cox’s Bazar -4700 , Bangladesh . Dhaka City Mailing Address :Engineer Ahmed Rafique Aziz , C/O : Arch . Mrs . Meherun Farzana

Mahin , Chief Architect , ArchViz Limited , House No : 123 , Flat No : 4th Floor ( Right Wing ) , Road No : 08 , Mohammodi Housing Limited , Mohammodpur , Dhaka-1207 , Bangladesh .

Permanent Mailing Address : Engineer Ahmed Rafique Aziz ,27,Khandokar Bari Lane, Gohailkandi, Shankipara Sesh Mor, Mymensingh Sadar, Mymensingh, Bangladesh.

E-mail Address : [email protected], [email protected] Telephone : +88-01721-153960 / +88-01927-293638 / +88-01881-692182 National ID No : 2693014697248 Fax No: Currently Unavailable Passport No: Processing Driving License No: Processing Motor Car Insurance No: Processing Bank A/C No: [01 ] Account No : 0112000088370

NRB Global Bank , Link Road Branch , Zilongza , Cox’s Bazar -4700 , Bangladesh . [02 ] Account No : +88-01721-153960 bKash Account , BRAC Bank , Bangladesh . [ 03 ] Account No : 34157969 Sonali Bank Limited , Cox’s Bazar Branch , Cox’s Bazar -4700 , Bangladesh .

Credit Card No: Processing Face Book Link : http://www.facebook.com/ahmedrafique.aziz E-mail:[email protected]

Twitter : @azizahmedrafiq1 https: //m.twitter.com/@azizahmedrafiq1 LinkedIn : https://lnkd.in/e5DGXY2 Title [ Predicted ] : The King / The Emperor of The Kingdom / The Empire of Geometry , the Science of Measurements .



http://www.facebook.com/ahmedrafique.aziz

https://m.twitter.com/@azizahmedrafiq1

https://lnkd.in/e5DGXY2


[03]Educational Informations And Academic Records Analysis of Researcher

Engineer Ahmed Rafique Aziz :

[3.3] Bachelor of Science in Electrical And Electronics Engineering :

(i)Obtained CGPA ( Cumulative Grade Point Average) 2.40 in the scale of 4 .

(ii)CGPA 2.40 in the scale of 4 is Equivalent to 53% marks in the scale of 100% marks.

Department : Electrical And Electronics Engineering

University : Khulna University of Engineering And Technology ( KUET ),Khulna-9203,Bangladesh.

[3.3.1] Graduation Results Analysis :

(i)Session of Admission : 2002-2003

(ii) Duration : April,2003 to Janyary,2012 ( Excluding 2003,2005-2006 and 2008 due to Medical Leave ).

Remarks : Stood 371 th Position Within 7000 Candidates Obtained 388.75 marks out of 700 marks

Equivalent to 55.70% .

(iv)Total Earned Credits : 165 ( Regular 163 )

(v) Total Earned Credits of Theory Courses : 126 ( Regular 124 )

(vi) Total Earned Credits of Sessional Courses : 39

(vii) Session of Fulfilling the Degree Requirements : 2010-2011

(viii) Date of Fulfilling the Degree Requirements : 10/01/2012

(ix) Date of Publication of Results : 06/02/2012


[3.3.2 ] Results Assessments Rule According to Ministry of Education ,People’s Republic of

Bangladesh ( Effective 02/06/2009 ) :

Results Assessed For Secured CGPA From Approved / Government University :

Table : 01

Serial No . Obtained CGPA in 4.00 Point Scale Equivalent Class

01. 3.00 Or, Above First Division

02. 2.25 < CGPA < 3.00 Second Division

03. 1.65 < CGPA < 2.25 Third Division

[3.3.3] The System of Distribution of Marks Followed By Khulna University of Engineering

And Technology ( KUET ), Electrical And Electronics Engineering Department :

Table : 02

Titles of Theory Courses Percentage of Marks Alloted

Class Participations , attendance and assignments 10%

Class tests, Quizzes , Spot test etc. 20%

Term Final Examination ( 3 hours duration ) 70%

Total : 100%

Remarks :

(i) Total Marks : 300 (ii) Written Theory : 210 (iii)Class Test : 60 (iv) Class Performance : 30

[3.3.4 ] Independent Laboratory / design / field works Courses :

Table : 03

Titles Percentages of Marks Alloted Class Participation and Attendance 10%

Quizzes,Viva-voces conducted in lab classes 20%

Viva-voce conducted centrally 20%

Performance and Reports 50%

Total : 100%


[3.3.5 ] Grading System Followed By Department of Electrical And Electronics Engineering of

Khulna University of Engineering And Technology ( KUET ) :

Required Grades are highlighted :

Table : 04

Letter Grade Numerical Equivalent Grade Grade Point B 60% to less than 65% 3.00

C+ 50% to less than 55% 2.50

C 45% to less than 50% 2.25 D 40% to less than 45% 2.00

[3.3.6 ] Overall Results Yielded in B.Sc Electrical And Electronics Engineering :

[3.3.6.1] Overall Results Yielded in Theory Courses :

Total Earned Credits in Theory Courses : 126

Table : 05

Overall Average Letter Grade Overall Average Numerical Grade Overall Grade Point

C+ 50.64% 2.50

[3.3.6.2 ] Overall Results Yielded in Sessional Courses :

Total Earned Credits in Sessional Courses : 39

Table : 06


B 61.13% 3.00

[3.3.6.3 ] Overall Results Yielded in Engineering Mathematics Courses :

Total Earned Credits in Engineering Mathematics Courses : 17

Table : 07


C+ 54.11% 2.50


[ 3.3.7 ] Engineering Mathematics ( Applied Mathematics ) Results Analysis :

[ 3.3.7.1 ] Engineering Mathematics Course Distribution :

Table : 08

Serial No . Course Titles Number of Credits

01. Math-I 3

02. Math-II 3

03. Math-III 4

04. Math-IV 4

05. Math-V 3

Total 5 Courses 17 Credits

[ 3.3.7.2 ] Studied Engineering Mathematics Course Materials / Course Contents :

A . Math-I :

(i) Differential Calculas

(ii) Coordinate Geometry of Two Dimensions

(iii)Coordinate Geometry of Three Dimensions

(iv)Set Theory

(v)Boolean Algebra

B . Math-II :

(i) Integral Calculas (ii) Differential Equations in One Independent Variable

C .Math-III :

(i) Vector Analysis (ii) Matrices Algebra (iii) Differential Equations


D . Math – IV :

( i) Complex Variables

(ii )Fourier Series and Fourier Transformations

(iii) Laplace Transform (iv) Harmonics

E. Math – V :

(i )Computer Application to Numerical Methods

(ii) Interpolation

(iii)Numerical Differentiation

(iv)Numerical Integration

(v)Solution to Differential Equations

(vi)Statistical Analysis

(vii)Probability

(viii)Curve Fitting

(ix)Correlation Theory

[ 3.3.7.3 ] Results Obtained in Engineering Mathematics Courses :

Table : 09

Serial No. Course Titles Letter Grade Numerical Grade Grade Point

01. Math-I D 45% 2.00

02. Math-II C+ 55% 2.50

03. Math-III B 60% 3.00

04. Math-IV C 50% 2.25

05. Math-V D 45% 2.00

[3.2 ] Analysis of Results in Higher Secondary Certificate ( HSC ) / College Phases :

Duration : August , 2000 to October , 2002 .

Had Obtained 883 marks in the scale of total 1200 marks Equivalent to 73.58% .

Date of Publication of Results : 18/09/2002


[ 3.2.1 ] Results At a glance :

Table : 10

Name of Institution

Group Board Year of Passing

Results Obtained

Numerical Equivalent

Notre Dame College, Dhaka

Science

Dhaka

October,2002

Total 883 marks in the scale of 1200.

73.58% First Division *

[ 3.2.2 ] Higher Secondary Results Analysis :

[ 3.2.2.1 ] HSC Marks Obtained :

Table : 11

Serial No . Subjects Type of Test Marks Obtained Total Marks Obtained

01. Mathematics Theory 124 out of 150 174 out of 200

Practical 50 out of 50

02. Science Theory 299 out of 420 476 out of 600


03. English Theory 63 out of 100 121 out of 200

58 out of 100

Remarks :

( I ) Total Marks including Fourth Subject : 1200

( ii ) Fourth ( Elective) Subjects : Computer Studies ( 166 out of 200 )

[ 3.2.2.2 ] Overall Average Marks :

Table : 12

Year Class Mathematics

( Out of 100 )

Science

( Out of 100 )

English

( Out of 100 )

2002 HSC 87 79.33 63.50


[ 3.2.3 ] HSC Mathematics Courses Contents / Materials :

A . Mathematics Part –I :

( i) Algebra

(ii)Trigonometry

(iii)Coordinate Geometry

(iv)Vector Analysis

(v)Practical

B. Mathematics Part –II :

(i) Elementary Differential Calculas and Integral Calculas (ii) Elementary Statics and Dynamics (iii) Discrete Mathematics (iv) Linear Programming (v) Practical

[ 3.1 ] Analysis of Results in Secondary School Certificate ( SSC ) :

Duration : January,1988 to June , 2000 .

Had obtained 910 marks in the scale of total 1100 marks equivalent to 82.73% .

Date of Publication of Results : 11/06/2000

[ 3.1.1 ] SSC Results at a glance :

Table : 13

Name of Institution

Group Board Year of Passing

Results Obtained

Numerical Equivalent

Government Laboratory High School, Mymensingh.

Science

Dhaka

June,2000

Total 910 marks in the scale of 1100.

82.73% First Division*


[ 3.1.2 ] SSC Results Analysis :

[ 3.1.2.1 ] SSC Marks Obtained :

Table : 14

Serial No . Subjects Type of Test Marks Obtained Total Marks Obtained

01. Mathematics Essay 160 out of 175 185 out of 200


02. Science Essay 203 out of 275 451out of 530

Objectives 148 out of 155

Practical 100out of 100

03. English Essay 63 out of 100 153 out of 200

Objectives 90 out of 100

Remarks :

(i) Optional Subject : Biology ( 92 out of 100 ) (ii) Total Marks including Optional Subject : 1100

[ 3.1.2.2 ] Overall Average Marks :

Table: 15


( Out of 100 )

Science

( Out of 100 )

English

( Out of 100 )

2000 SSC 92.50 92 76.50

[ 3.1.3 ] SSC Mathematics Courses Contents / Materials :

A . General Mathematics :

( i) Algebra

(ii)Trigonometry

(iii)Euclidean Plane Geometry

(iv)Mensuration


B . Higher Mathematics :

(i) Algebra (ii) Trigonometry (iii) Euclidean Plane Geometry (iv) Solid Geometry (v) Vector Analysis

(vi)Practical

[ 3.1.4 ] Overall Results Analysis From Class Nursary to Class 10 :

Duration : January ,1988 to December , 1999 .

Table : 16


( Out of 100 )

Science

( Out of 100 )

English

( Out of 100 )

1988 Nursary 99 98 96

1989 K.G 94 90 82

1990 1 88.50 98 91.50

1991 2 94 97 91.50

1992 3 98 93.67 93

1993 4 74.33 92.67 90.33

1994 5 92 93 94.50

1995 6 98 78.50 89.25

1996 7 100 86 87.75

1997 8 97 95 92

1998 9 81.50 88.67 71.25

1999 10 90 93 81

[ 3.1.4.2 ] Remarks :

(i) From Class Nursary to Class 7 : Stood First in Merit List obtaining Highest Marks in Each and All Subjects .

(ii) Class 8 : Stood Second in Merit List obtaining Highest Marks in Major Subjects . (iii) Class 8 : Had achieved Junior Scholarship from Bangladesh Government in Talent Pool Quata

stood Fifth Position in Merit List . (iv) Class 9 : Stood Third in Merit List obtaining Highest Marks in Major Subjects . (v) Class 10 : Stood Fourth in Merit List obtaining Highest Marks in Major Subjects .


[ 3.4 ] Remarks :

[1] I am a Original Researcher ,Inventor ,Theorist exposed Genius Scholar in the field of Higher Science

as well as Engineering Education .

[2] During 1988 to 2002 , I had yielded distinction marks,ie,91% marks in Mathematics ( Arithmatic , Algebra, Trigonometry, Solid Geometry, Calculus ,Euclidean Plane Geometry, Coordinate Geometry, Mechanics, Statistics, Vector Analysis, Discrete Mathematics, Programming , Mensuration ) [3] 90% marks in Science (Physics, Chemistry, Biology, Agriculture, Social Science, Computer Science) [4] 85% marks in English.( Including Grammer , Elementary Prose and Poetry as well as Elementary English Literature and Functional English ). [5] Would study M.Sc on Geometry, Mathematics Probably in Germany.( Optimistic for Scholarship ) [6] Would study Ph. D on Geometry, Mathematics Probably in Germany .( Optimistic for Scholarship ) [7] Would accomplished Post-Doctoral on Geometry , Mathematics from University of Harvard ,USA . [8 ] Offerred to study MS in American University of Sharjah,UAE,2012 ( Disaggreed ) [9] Offerred to study MS and Ph.D in King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia,2012 ( Disaggreed ) [10] Entirely, my original theoretical Research works ,theoretically defined and conventionally assessed as University Professor ( Latin meaning “ Teacher “ ) in the field of Higher Science as well as Engineering Education .


[ 04] Scholarships :

Had obtained Junior Scholarship from Bangladesh Government in 1998 stood 5th Position

in Talent Pool Quata.

Scholarship from Secondary School Certificate (SSC) Examination from Dhaka Board in

2001.

Local Scholarship from Mymensingh Scholar Forum in 1998 and 1999 stood 2nd and 1st

Position respectively.

[ 05 ] Reviewers :

I ( Researcher Engineer Ahmed Rafique Aziz ) had been offered to work as Reviewer (membership required) of the following School Mathematics Journals of United States of America : 1. Mathematics Teaching in the Middle School , NCTM ,USA 2. Mathematics Teacher , NCTM , USA 3. Teaching Children Mathematics , NCTM , USA 4. Co-worker, International Journal of Pure and Applied Mathematics ( IJPAM ), Bulgaria . 5. Co-worker , Research India Publications ,New Delhi , India . 6. Educational Studies in Mathematics , Springer ,Germany. [ Invited , Under Processing ]

[06 ] Fields of Research and Teaching Interest :

I (Researcher Engineer Ahmed Rafique Aziz) am a Professor,Researcher and Genius of Euclidean Plane

Geometry which is the essential branch of Pure Mathematics.I have natural geniusity and merit and

potential to innovate and improvise several branches of Geometry .Already I have remarkable and

appreciable success and original contributions in the field of Euclidean Plane Geometry .I am optimistic to

have considerable successes and contributions in several branches of Geometry.Last 10 years (from

August,2001 to October,2012 ; excluding 2003) ,I have been involving myself in theoretical researches of

Euclidean Plane Geometry and study of Electrical and Electronics Engineering.Recently,I would initiate

researches on several branches of Geometry .I am optimistic to conduct original researches in Algebraic

Geometry,Differential Geometry and Non-Euclidean Geometry.However,I had considerable original

theoretical research works, achievements and experiences in the field of Euclidean Plane Geometry of

more than 10 years.I have committment of fruitfull potential of research on several branches of

Pure,Applied and Engineering Mathematics in which branches ,I (Researcher Engineer Ahmed Rafique

Aziz) am optimistic to achieve considerable success.


As a Electrical & Electronics Engineering scholar, I have studied Differential & Integral

Calculas,Differential Equation,Three Coordinate Geometry of Two & Three Dimensions,Matrix

Algebra,Vector Analysis,Complex Variables,Laplace & Fourier Transform, Numerical Methods,

Harmonics and also Statistics.I have considerable knowledge in these branches of Mathematics

with respect to B.Sc (Undergraduate) Engineering in Electrical and Electronics Engineering

phases.These branches of Mathematics are not explored till now due to lack of time besides my

study of Electrical and Electronics Engineering.

Electronics is the most important and the most advanced branch of Electrical and Electronics

Engineering.Electronics have broad applications in existing modern life.There are plenty of opportunities

to research and invent in Electronics.Consequently,I have sharp interest for all ever increasing branches

of Electronics.I am hopeful to contribute in Electronics.Recently,Power Engineering have been developed

extensively due to modern inventions of Power Electronics.I have also intense interest for Power

Engineering.Circuit Design is the art of Electrical and Electronics Engineering.I have focused my interest

to design all types of Electrical and Electronics Engineering circuits including devices fabrications and

associated theories of circuits.However,instance of Technology,I have emphasized on Electro-

Technology and Electronics Technology.I have sharp eagerness to design some significant

Electrical,Electronics,Electro-Mechanical,Power Generation,Transmission and Distribution

Circuits and Magnetic Circuits and also invent several Electrical,Electro-Mechanical,Magnetic and

Electronic Devices. However,the followings are my fields of interest of teaching and original and non-

original researches.

In the field of Mathematics, teaching and research interest includes-

Major Fields of Research Fields of Research Specializations

Fields of Research Interests

Geometry

Euclidean Plane Geometry Algebraic Geometry Geometry of Engineering

Mathematics Two and Three Coordinate Geometry of 2 and 3 Dimensions

Differential Geometry

Complex Variables Vector Analysis Non-Euclidean Geometry Differential Equations Other 42 branches of Pure and

Applied Geometry


In the field of Electrical and Electronics Engineering ,teaching and research interest includes-

Major Fields of Research Fields of Research Specializations

Fields of Research Interests

Power Engineering

Digital Signal Processing

High Voltage Direct Current ( HVDC ) Transmission, Generation and Distributions.

Digital Image Processing

Electric Circuits

Power Electronics and Industrial Drives

Flexible Alternating Current Transmission ( FACTS) / High Voltage Alternating Current ( HVAC ) Generation, Transmission and Distribution

Communications and Information Technology

Control System Engineering

Power Generations, Transmissions and Distributions Circuit Design and Analysis

[ 07 ] Original Research Publications :

Published Original* Newspapers Article :

[1] Titles of publication : “ Noton angike Pythagoras er upopaddya er proman”( Bengali)

“ Proofs of Pythagoras Theorem in new form”( English)

Date of publication : The 10

th November,2006.

Published on Daily Jugantor ( National Daily),Bangladesh.

Accepted Original* Research Papers :

[01] Aziz , Ahmed R ..The degree measure of the central angle generates by the arc which is π/3

times of the radius of the circle is equal to 60 Degree.[ Accepted. International Journal of Pure and

Applied Mathematics , Bulgaria- IeJPAM , ISSN 1314-0744 /2010 ]

[ Entitled as “ Central 60 Degree Angle Theorem “ . Briefly entitled as “ CAT60D “ . ]

[02] Aziz , Ahmed R .. Analysis and recent proofs of generic and fundamental relationship among

arc, central angle and inscribed angle of circle and application of Central 60 Degree Angle

Theorem. [ Accepted. International Journal of Mathematics Research. Paper Code : 11448 Research

India Publications, New Delhi, India /2011. Accepted.Global Journal of Mathematical Science :Theory

and Practical. Paper Code :8103 Research India Publications, New Delhi, India /2011 . Accepted .

Applied Mathematics ( AM ) , USA / 2015 . Paper ID : 7402945 ]

[ 03 ] Aziz , Ahmed R.. Analysis and Derivation of Geometrical Properties of Semicircle Angle

involving Right Triangle and Pythagoras Theorem Inscribed in Circle and Proofs of Pythagoras

Theorem and Inverse Theorem of Pythagoras with assistance of Central 60

Degree Angle

Theorem. [ Accepted . Advances in Pure Mathematics ( APM ) , USA / 2015 . Paper ID : 7402881]


[0 4 ] Aziz , Ahmed R.. Discernment of center of circle with recent method . [ Accepted . Applied Mathematics ( AM ) , USA / 2015 . Paper ID : 7402882 ]

[ 05 ] Aziz , Ahmed R.. Theories of Central 60 Degree Angle Theorem.

[ Accepted . Applied Mathematics ( AM ) , USA / 2015 . Paper ID : 7402897 ]

Peer Reviewed Original * Research Papers :

[ 1 ] Aziz , Ahmed R .. Relation among Right Triangle , Pythagoras Theorem and Trigonometry

: New Invention of Euclidean Plane Geometry . [ Peer Review Accomplished / 2009 ]

[ 2 ] Aziz , Ahmed R.. Analysis and Derivation of Geometrical Properties of Semicircle Angle

involving Right Triangle and Pythagoras Theorem Inscribed in Circle and Proofs of Pythagoras

Theorem and Inverse Theorem of Pythagoras with assistance of Central 60

Degree Angle

Theorem. [ Peer Review Accomplished /2011 ]

[ 3 ] Aziz , Ahmed R.. Derivation of “ Father of Vector Composition” of Mechanics with assistance

of Vector Analysis and Trigonometry .[ Peer Review Accomplished /2011 ]

[ 4 ] Aziz , Ahmed R.. Discernment of center of circle with recent method .

[ Peer Review Accomplished /2011]

[ 5 ] Aziz , Ahmed R.. Theories of Central 60 Degree Angle Theorem.

[ Peer Review Accomplished /2012]

[ 6 ] Aziz , Ahmed R .. Theories of Angle Pair . [ Would be submitted recently / 2014 ]

[ 7 ] Aziz , Ahmed R .. Theories of Reference Circle . [ Would be submitted recently / 2014 ]

[ 8 ] Aziz , Ahmed R.. Theories of Chord Derivation . [ Would be submitted recently / 2014 ]

Submitted Original * Research Papers :

Recently, more than 18 Original Research papers are under processing for submission for

probable publications in International Journal of Mathematics .


[ 08 ] Definitions and Explanations of Geometry corresponding to the Higher

Education of Manifold Branches of Science and Engineering :

Geometry is a science that deals with forms made by lines .A study of geometry is an essential parts of the training of the successful engineer, scientist ,architect and draftsman.The carpenter, machinist, tinsmith, stonecutter, artist and designer all apply the facts of geometry in their trades .In this course , the student will learn a great deal about geometric figures such as lines, angles, triangles, circles and designs and patterns of many kinds . Geometry had its origin long ago in the measurements by the Babylonians and Egyptians of their lands overswept by the floods of the Nile river. The greek word geometry is derived from “geo” meaning “earth” and “metron “ mean “measure “.As early as 2000B.C , we find the land surveyors of these people reestablishing vanishing land marks and boundaries by utilizing the truths of geometry . Many leading institutions of higher learning have recognized that positive benefits can be gained by all who study this branch of Mathematics. This is evident from the fact that they require study of Geometry as a prerequisite to matriculation in those schools . One of the most important objectives derived from a study of geometry is making the student be more critical in his listening, reading and thinking. In studying geometry, he is led away from the practice of blind acceptance of statements and ideas and is taught to think clearly and critically before forming conclusions. There are many other less direct benefits the student of geometry may gain. Among there one must include training in the exact use of the English language and in the ability to analyze a new situation or, problems into it’s parts and utilizing perseverance , originality and logical reasoning in solving the problem. An appreciation for the orderliners and beauty of geometric forms that abound in man’s works and of the creation of nature will be a byproduct of the study of geometry. The student should also develop an awareness of the contributions of Mathematics and Mathematicians of our culture and civilization. Geometry teaches us how to reason . The habit of correct thinking acquired in its study is beneficial to all. By its study we shall be able to converse more logically and read with a greater understanding. It is said that Abraham Lincoln studied geometry in order to make better arguments in courts . After studying Geometry , we would have a better appreciation of man’s works and of the wonderful creations found in nature . After studying the many interesting properties of geometric figures , we will have a great interest in the arts and architecture which make abundant use of geometry design . Many of us will need geometry for its practical value . If we are thinking of becoming an engineer , an architect , an officer in the army or navy , a scientist or a mathematician , we must first learn geometry , since a knowledge of it is necessary for success in any of these professions . Another reason for studying geometry is its cultural value . In 1910 , Charles Evans Hughes said “ When the time comes that knowledge will not press forward simply in a desire of achievement, without hope of gain , to extend the limits of human knowledge and information, then indeed , will the race enter upon its decadence”. Napolean once said ,” The advance and perfecting of Mathematics are closely related to the prosperity of the nation”.


[ 09 ] Significance of Euclidean Plane Geometry in Higher Education of Manifold

Branches of Science and Engineering :

Euclidean Plane Geometry is the most ancient, essential and compulsory branch of Geometry as well as

Pure Mathematics. River Nile of Egypt is called “The Mother of Euclidean Plane Geometry”. Euclidean

Plane Geometry has been used by man since the beginnings of civilization. Euclidean Plane Geometry

had its origin long ago in the measurements by the Babylonians and Egyptians of their lands overswept

by the floods of the Nile river.The greek word geometry is derived from geo meaning “earth” and metron

mean “measure”.It is evident that the Egyptians must have had a knowledge of many geometric

principles.Applications of these principles were found in the building of the Pyramids and the great Sphinx

( 4000-3000BC).As early as 2000BC,the irrigation systems devised by the early Egyptians indicate that

they had an adequate knowledge of Geometry as it may be applied in land surveying.The Babylonians

were using geometric figures in the tiles, walls and decorations of their temples.

Euclidean Plane Geometry is a study of measurements of area, length, width , circumference, space,

surface, cross-sections, volume etc. This Universe follows geometrical principles. All theorems of

Euclidean Plane Geometry represent measurements. These measurements include the measurements of

angles and the measurements of arms. So, some theorems of Euclidean Plane Geometry represent the

measurements of angles and some theorems of Euclidean Plane Geometry represent the measurements

of arms. All engineering designs are geometrical as Geometry is associated with Mathematics, Science

and Engineering and all types of Mathematical calculations, manipulations, expressions, equations and

laws could not be applied without geometrical shapes as well as geometry. Geometrical figures and

shapes could be analysed and calculated as Mathematical, Scientific and Engineering formulas are

implemented and satisfied considering geometrical shapes. All Science and Engineering laws, formulas,

expressions and equations are geometrical in nature.

Engineering shapes of materials such as Civil, Mechanical, Metallurgy, Architecture, Marine, Naval

Architecture, Structure, Water Resource, Industrial and Production, Chemical, Electrical, Astronomical

and Universe are combination of Euclidean Plane Geometry and Solid Geometry. All shapes on Earth

surface, utilizations of human beings are Euclidean Plane Geometrical in nature. Euclidean Plane

Geometry is used for quality, quantity and measurements of raw materials of products. Engineering

Mathematics including Two(2) Dimensional and Three(3) Dimensional Coordinate Geometry are certainly

very essential for geometrical analyses of Civil Engineering, Mechanical Engineering, Industrial and

Production Engineering, Water Resource Engineering, Marine Engineering, Naval Architecture,

Architecture and Urban Design, Metallurgy, Auto-Mobiles Engineering, Robotics, Aero-Nauticals

Engineering etc.

The first great textbook of Euclidean Plane Geometry ,in fact, the greatest of all times was written about

300 BC by Euclid, a teacher in the university of Alexandria in Egypt.This geometry text of Euclid was

called “ Elements”.It contained the first systematic, orderly and logical arrangement of geometry and was

divided into thirteen chapters , called books.The “ Elements” contained most of our present Plane

Geometry and some Solid Geometry.The substance of Books I and II is probably the work of Pythagoras ;

that of Book III of Hippocrates ; and that of Book V of Eudoxus who also contributed much to the science

of Solid Geometry .Probably no book except the Bible has appeared in more editions or contributed more

to the intellectual life of the world than has Euclid’s “Elements”.For over two thousand years, educated

men in all fields, politicians, soldiers and theologians no less than scholars and philosophers have looked

upon it as the epitome of rigor and its study as the best way to develop facility in logical reasoning.


Consequently,I (Researcher Engineer Ahmed Rafique Aziz) am optimistic that I will be distinguish Author

of several original text-books, reference books, book-lets of Euclidean Plane Geometry.

[ 10 ] Brief Descriptions of Original Theoretical (Library) Research Works of Euclidean Plane Geometry : [ 10.1 ] Theorem and Required Exclusive Proofs of The Theorem : In the year 2001-2002,more than 12 years ago,I (Researcher (Active) Professor (Assessed) Engineer Ahmed Rafique Aziz) had uniquely, exclusively, entirely and individually invented,proved,analysed and written a original, recent, modern,broadest,essential and higher theorem in the field of Euclidean Plane Geometry with regard to Circle entitled as “Central 60 Degree Angle Theorem” within the all Professors, Mathematicians and Researchers of all universities all over the world. The Theorem states that The degree measure of the central angle generates by the arc which is π/3 times of the radius of the circle is equal to 60

Degree. As the theorem is relevant to constant magnitude of

Central angle and as this theorem is a theorem of circle so this theorem of Euclidean Plane Geometry is entitled as “Central 60 Degree Angle Theorem”. Central 60 Degree Angle Theorem is a original theorem of circle of Euclidean Plane Geometry relevant to constant 60 Degree measurement of central angle .The constant 60 Degree measurement of central angle is effectively, efficiently, flawlessly and marvellously implemented to originate theories, proofs and constructions. Central 60 Degree Angle Theorem has represented innovation and improvisation of circle in the field of Euclidean Plane Geometry. Infact, it is a modern, higher and marvellous theorem of circle in the field of Euclidean Plane Geometry associated with constant magnitude of central angle. “Theories of Central 60 Degree Angle Theorem” is a original theoretical research works of central angle of constant 60 degree measurement of circle in the field of Euclidean Plane Geometry. Due to religious significance, this theorem should be titled as “The Theorem of Holy Baitullah”. Holy Baitullah of Macca Mukarrama of Saudi Arabia is situated at the center of the Earth. Central 60

Degree Angle Theorem is the only theorem through which directly the center of the

circle is being determined. I (Researcher Engineer Ahmed Rafique Aziz) have invented, analysed and proved 217 original theories,188 original constructions,380 original proofs,5 original corollaries,5 original formulas,2 original derivations,100 original Geometrical problems which are all original, modern, higher, recent and marvellous inventions during last 10 years from 2001 to 2015 (excluding 2003/2004) and I (Researcher Engineer Ahmed Rafique Aziz) have individually written(Authored) 200 original Research Papers in the field of Euclidean Plane Geometry of Pure Mathematics which would be submitted to referred International Journal of Mathematics for probable publications.The theories of Coordinate Geometry of Circle are implemented to transform Central 60 Degree Angle Theorem to Coordinate Geometry.Entire theories of Central 60 Degree Angle Theorem have been shifted to Cartesian Plane for Coordinate Geometry representations.I will convert entire theories of Central 60 Degree Angle Theorem to the theories of Circle of Coordinate Geometry.

In brief, I have entitled Central 60 Degree Angle Theorem as “CAT60D” in which C means Central, A means Angle, T means Theorem and 60D means 60 Degree.


Remarks : Recently, I have been recognized as Professor (Latin meaning” Teacher”) of Euclidean Plane Geometry by International Journal of Pure and Applied Mathematics, Bulgaria and also by several Referred International Journals of Pure and Applied Mathematics such as Springer, American Mathematical Society, London Mathematical Society, American Mathematical Association, International Journal of Mathematics Education of American High Schools and Colleges, Annals of Mathematics and International Journal of Japan and also International Arab Journal of Mathematics for my marvellous original researches on Euclidean Plane Geometry. Infact, I have been analysing to innovate this branch of Geometry upto modern , higher , appreciable and genius dimensions .

My theoretical research works including original theories , proofs, constructions, corollaries,

figures and associated original Research Papers regarding Euclidean Plane Geometry are

comparatively modern and higher considering existing conventional Euclidean Plane Geometry. I

have utilized the theories of Coordinate Geometry, Set Theories, Matrix Algebra and Column

Proofs to represent the existing theories of Euclidean Plane Geometry in recent, modern and

higher aspects.

Researcher Engineer Ahmed Rafique Aziz has proved Central 60 Degree Angle Theorem in five

distinct geometrical reasoning. Successively these proofs are showed as follows:

Proof No. Statement of Theorem Geometrical Reasoning Date of Proof 01.

The degree measure of the central angle generates by the arc

which is /3 times of the radius of the circle is equal to 60

Degree.

Circle Comparison

The 10

th August,2001

02.

Same as Construction of Perpendicular

The 19th

September,2002 03. Same as Geometrical Angle

Equation The 14

th October,2002

04. Same as Construction of Rectangle

The 1st May,2005

05. Same as Construction of Tangent The 13th September,2008

06. Same as Differential Geometry ( Calculas )

The 30th August,2001

07. Same as Trigonometry The 28th July,2006


[ 10.1.1 ] Recent Restatements of Central 60 Degree Angle Theorem [ CAT60D ] :

1. The degree measure of the central angle intercepted by the arc measured as π/3

times of the radius of the circle is equal to 60 Degree .

2. The arc which is one-sixth of the circumference of the circle intercepted 60 Degree

Central Angle .

3. The degree measure of the central angle is equal to 60 Degree intercepted with the arc

associated with the radius chord .

4. The degree measure of the central angle is equal to 60 Degree intercepted with the arc

produced inscribed Equilateral Triangle at the center of the circle .

[ 10.2 ] Original Corollaries of Central 60 Degree Angle Theorem : Central 60 Degree Angle Theorem includes four (4) corollaries.The statement of the corollaries are

as follows:

Serial No. Title of Corollary Statement of Corollary Date of Proof

01.

Corollary of Inscribed/Cyclic Angle

The degree measure of the cyclic angle generates by the arc which is /3 times of the radius of the circle is equal to 30 Degree.

The 20th January,2002 (3 ), The 3rd December,2012 (1)

02.

Corollary of Arc

The length of the arc generates by the chord which is equal to radius of the circle is /3 times of the radius of the circle .

The 13th June,2006

03.

Corollary of Equilateral Triangle

The chord which is equal to the radius of the circle generates the equilateral triangle inside the circle and vertex is the center of the circle.


04.

Corollary of Chord

The chord connects the arc which is /3 times of the radius of the circle is equal to radius of the circle.

The 10th July,2006


[ 10.3 ] Original Application of Central 60 Degree Angle Theorem :

I (Researcher Engineer Ahmed Rafique Aziz ) have applied recently invented Central 60 Degree Angle

Theorem successfully to prove the theorems of Circle,Triangle,Quadrilateral ,Pythagoras Theorem and

Inverse Theorem of Pythagoras of Euclidean Plane Geometry.I have written several original Research

Papers involving this theorem.These Research Papers would be submitted to International Journal for

publications.The theoretical research works including application of Central 60 Degree Angle Theorem

are showed briefly as follows:

A.Original Application of Central 60 Degree Angle Theorem to prove the theorems of Circle :

I have applied Central 60 Degree Angle Theorem to prove almost twenty six (26) theorems of circle.I will

write several Research Papers including these proofs.These proofs are showed as follows:

Serial No. Statement of Theorem Date of Proof

01. Semi-circle angle is right angle of a circle .


02.

If a quadrilateral is inscribed in a circle , the opposite angles are supplementary.

The 16th August,2001(1), The 26th September,2007

03.

The segment from the center of a circle to the midpoint of a chord is perpendicular to the chord .

The 19th September,2002

04.

The perpendicular from the center of a circle to a chord bisects the chord .


05.

Every tangent to a circle is perpendicular to the radius drawn to the point of contact .


06.

Equal chords of a circle are equidistant from the center.

The 22nd September,2002

07.

All chord equidistant from the center of a circle are equal.

The 22nd September,2002

08.

The included angle between any tangent drawn at a point on circumference of circle and any chord passing through that point is equal to inscribed alternate interior angle .

The 23rd September,2002

Two tangent drawn from a


09. outer point to a circle is equal in length from the outer point to the points of contact .

The 2th February,2006

10.

In a circle or, in equal circles equal arcs have equal central angles/ cyclic angles.

The 10th July,2006

11.

In a circle or, in equal circles equal chords have equal arcs .

The 10th July,2006

12.

In a circle or, in equal circles equal arcs have equal chords.

The 10th July,2006

13.

The connection line of two points if generated equal angles on two points in the same side of that line then four points will be on the circumference of the same circle .

The 15th July,2006

14.

The degree measure of central angle is twice to the degree measure of cyclic angle .

The 23rd October,2007

15.

The arc which is obtained

from subtraction of r/3 from circumference generates 150

Degree cyclic angle .

The 25th October,2007

16. The area of a circle is лr2.

The 14th June,2009

17.

The circumference of a circle is 2лr.

The 14th June,2009(1), The 24th June,2008 (1)


B. Original Application of Central 60 Degree Angle Theorem to prove theorems of Quadrilaterals :

I have applied the theorem to prove the following theorem of Quadrilaterals.


01.

The summation of four angles of a tetragonal is 360 Degree.

The 24th January,2010

C. Original Application of Central 60 Degree Angle Theorem to prove the theorems of Triangle :

I (Researcher Engineer Ahmed Rafique Aziz) have applied significantly Central 60 Degree Angle

Theorem to prove several very essentials theorems of Triangle.I had conducted theoretical research to

prove “Instance of Triangles inscribed in circle,all theorems of Euclidean Plane Geometry involving

Triangle reside constant” implementing Central 60 Degree Angle Theorem successfully.I have written a

original Research Papers relevant to these theoretical research which would be submitted to International

Journal for essential expectated publication.These proofs are showed as follows:


01.

If one side of a triangle is longer than another side,then the angle opposite the longer side is greater than the angle opposite the shorter side.

The 18th March,2008(1), The 29th May,2010 (1)

02.

If one angle of a triangle is greater than another angle,then the side opposite the greater angle is longer than the side opposite the lesser angle.

The 18th March,2008 (1), The 29th May,2010 (1)

03.

The line which connects the midpoints of any two arms of a triangle is parallel to the other arm and half in length of the other arm.

The 29th May,2010

04.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

The 29th May,2010


05.

The subtraction of any two arms of a triangle is smaller than the other arm.

The 29th May,2010

06.

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. (Exterior Angle Theorem)

The 29th May,2010

07.

If an angle is an exterior angle of a triangle,then its measure is greater than the measure of either of its corresponding remote interior angles .(Exterior Angle Inequality Theorem)

The 29th May,2010

08.

The summation of any two exterior angles of a triangle is greater than 180 Degree.

The 29th May,2010

09.

The sum of the measures of the angles of a triangle is 180

Degree. .( Angle Sum Theorem)


D. Original Application of Central 60 Degree Angle Theorem in Pythagoras Theorem :

I(Researcher Engineer Ahmed Rafique Aziz) have applied Central 60 Degree Angle Theorem to prove

Pythagoras Theorem and Inverse Theorem of Pythagoras instance of Right Triangle inscribed in Circle .I

have written two Research Papers involving these theorems.These Research Papers would be submitted

to International Journal for publications.These are as follows:


Serial No. Statement of Proof Date of Proof

01.

In any right triangle, the square on the hypotenuse is equal to the sum of the squares of other two sides. (Pythagoras Theorem)

The 3rd November,2002

02.

If the sum of the squares of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle. (Inverse Theorem of Pythagoras)

The 3rd November,2002

03.

Proof of Pythagoras Theorem instance of Right Triangle inscribed in circle utilizing Central 60 Degree Angle Theorem.

The 18th November,2011

04.

Proof of Pythagoras Theorem instance of Right Triangle inscribed in circle utilizing Central 60 Degree Angle Theorem.

The 18th November,2011


[ 10.4 ] Original Proofs of Manifold Theorems of Euclidean Plane Geometry :

Recently,I(Researcher Engineer Ahmed Rafique Aziz) have proved numerous theorems of

Circle,Triangle and Quadrilateral of Euclidean Plane Geometry .I have also proved very essential

Pythagoras Theorem and Inverse Theorem of Pythagoras in general methods.I have written several

Research Papers including these recent proofs which would be submitted to International Journal for

essential publications.The theoretical research works are briefly described as follows:

A.Original Recent Proofs of The Theorems of Circle : I have proved almost 10 theorems of circle in recent method.These proofs are showed as follows:

Serial No. Statement of The Theorem Date of Proof 01.

Centric or, cyclic angles are equal on the same arcs of a circle .

The 20

th August,2001

02.

The centric angle is twice to the cyclic angle on the same arc of the circle.

The 2nd

August,2006 (1), The 22

nd August,2001 (1)

03.

The cyclic angles on the same arc are equal in the circle .

The 14th December,2002 (1), The 18

th December,2012 (1)

04.

The segment from the center of a circle to the midpoint of a chord is perpendicular to the chord .

The 24th July,2006 (1), The 3

rd Sepetember,2009 (1)

The 9th April,2012 (1)

05.

The perpendicular from the center of a circle to a chord bisects the chord .

The 24

th July,2006 (1),


06.

The included angle between any tangent drawn at a point on circumference of circle and any chord passing through that point is equal to inscribed alternate interior angle .

The 28

th July,2006

07.

Equal chords of a circle are equidistant from the center.

The 30th July,,2006 (1),


08.

All chord equidistant from the center of a circle are equal.

The 30th July,2006 (1), The 6

th April,2012 (1)


09.

Semi-circle angle is right angle of a circle .

The 15

th October,2006

10.

Explanation and Proof of Angle Sum Theorem instance of Circle.

The 4th February,2013

11.

Explanation and Proof of Inscribed Alternate Interior Angle Theorem instance of Circle.

The 2

nd February,2013

12.

Explanation of relationship between Central Angle and Inscribed Angle of Circle and Graphical representation of relationship.

The 4

th April,2013

B.Original Recent Proofs of Triangle : These proofs are showed as follows:

Serial No. Statement of the Theorem Date of Proof 01.

The sum of the measures of the angles of a triangle is 180

Degree.

The 26

th September,2007

02.

Explanation and Proof of Angle Sum Theorem instance of Triangle.

The 2

nd February,2013

C.Original Recent Proofs of Quadrilateral : I have proved various theorems of Parallelogram,Rhombus,Rectangle and Square of

Quadrilaterals.These proofs are showed as follows:

Serial No. Statement of the Theorem Date of Proof 01.

15 Degree Tetragonal /Fifteen Degree Tetragonal

The 10th June,2011

02.

The summation of four angles of a tetragonal is 360 Degree.

The 26th September,2007 (1), The 9

th October,2007 (1)

03.

Opposite sides of a parallelogram are congruent.

The 4

th June,2010


04.

Opposite angles of a parallelogram are congruent.

The 4

th June,2010

05.

Consecutive angles in a parallelogram are supplementary.

The 4

th June,2010

06.

The diagonals of a parallelogram bisect each other.

The 4th June,2010

07.

If both pairs of opposite sides of a quadrilateral are congruent,then the quadrilateral is a parallelogram.

The 4

th June,2010

08.

If one pair of opposite sides of a quadrilateral are both parallel and congruent,then the quadrilateral is a parallelogram.

The 4

th June,2010

09.

If the diagonals of a quadrilateral bisect each other,then the quadrilateral is a parallelogram.

The 4th June,2010

10.

If both pairs of opposite angles in a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

The 4th June,2010

11.

If a parallelogram is a rectangle then its diagonals are congruent.

The 4

th June,2010

12.

The diagonals of a rhombus are perpendiculars.

The 4

th June,2010

13.

Each diagonal of a rhombus bisects a pair of opposite angles.

The 4

th June,2010

14.

Both pairs of base angles of an isosceles trapezoid are congruent.

The 4

th June,2010

15.

The diagonals of an isosceles trapezoid are congruent.

The 4

th June,2010


16.

The median of a trapezoid is parallel to the bases and its measure is one half the sum of the measures of the bases.

The 4

th June,2010

17.

Explanation and Proof of Angle Sum Theorem instance of Quadrilaterals.

The 2

nd February,2013

D.Original Recent Proofs of Pythagoras Theorem and Inverse Theorem of Pythagoras :

I (Researcher Engineer Ahmed Rafique Aziz)have proved Pythagoras Theorem and Inverse Theorem of

Pythagoras in general methods.I have written two Research Papers with regard to these theorems which

is submitted to International Journal for publication.These proofs are showed as follows:

Serial No. Statement of the Theorem Date of Proof

01. In any right triangle, the square on the hypotenuse is equal to the sum of the squares of other two sides.

The 12

th December,2002 (1),

The 12th December,2002 (1)

02.

If the sum of the squares of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.

The 20

th November,2011

03.

Analysis and Derivation of Geometrical Properties of SemiCircle Angle involving Right Triangle and Pythagoras Theorem.

The 30

th December,2010

04.

Proof of Pythagoras Theorem instance of Right Triangle inscribed in circle implementing Trigonometrical ratio of Sine and Cosine functions of complementary angles using Sine Formula of Addition of

The 18

th November,2011


Compound Angle.

05.

Proofs of Pythagoras Theorem from constructions of Perpendicular implementing Trigonometrical ratio of Sine and Cosine functions of complementary angles using Sine Formula of Addition of Compound Angle.(4 proofs)

The 9

th December,2011 (4)

06.

Proofs of Pythagoras Theorem from constructions of Rectangle implementing Trigonometrical ratio of Sine and Cosine functions of complementary angles using Sine Formula of Addition of Compound Angle.

The 9th December,2011

07.

Proofs of Pythagoras Theorem Implementing Trigonometrical Functions of Complementary Angles inside circle .

The 15

th February , 2015

08.

Proofs of Pythagoras Theorem Implementing Trigonometrical Functions of Complementary Angles .

The 15

th February , 2015

09.

Proofs of Pythagoras Theorem Implementing Trigonometrical Functions of Complementary Angles .

The 14th May , 2015


[ 10.5 ] Titles of Recently Invented Original Constructions :

Historically,a geometric figure that is produced with only a straightedge and compass is called a construction.In 2010,I(Researcher Engineer Ahmed Rafique Aziz) had invented seven new constructions to determine the center of circle.Radius and Diameter of circle are also determined due to determination of center of circle.Constructions have involved theorems of Euclidean Plane Geometry and newly invented Central 60

Degree Angle Theorem.I had derived One Hundred and Thirteen (113) constructions

from my invented theorem.I will write several Research Papers relevant to determination of center of circle which would be submitted to International Journal for publication.In 2011,I have invented two new construction methods which exhibit the procedure how to draw 7.5

0, 11.25

0, 15

0, 18.75

0, 22.5

0, 26.25

0,

300, 33.75

0, 37.5

0, 41.25

0, 45

0, 48.75

0, 52.5

0, 56.25

0, 60

0, 63.75

0, 67.5

0, 71.25

0 75

0, 78.75

0, 82.5

0, 86.25

0,

900, 97.5

0, 105

0, 112.5

0, 120

0, 127.5

0, 135

0, 142.5

0, 150

0 ,157.5

0, 165

0 and 172.5

0 fraction angles with

assistance of Central 60 Degree Angle Theorem Method and Concurrent Vertex Equal Equilateral

Triangle Method . Very recently, I have invented thirty four (34 )methods to determine the center of circle with assistance of Central 60

Degree Angle Theorem utilizing Reference Circle. I have

invented construction to draw Tri-Section of Circumference as well as Hexagonal successfully implementing Central 60

Degree Angle Theorem. Remarkably , I have invented construction to fix

the Golden Ratio Point on diameter of circle recently. Golden Ratio is a very important ratio found in Universe and configuration of Human Body. However, very recently ,I have invented thirty one (31)new methods for determination of center of circle implementing the concept of Equal Angle Plotting with assistance of Central 60

Degree Angle Theorem . Totally,I have invented One Hundred

and Eighty Eight(188) original constructions from 2010 to 2015.

The titles of the recently invented original constructions are stated as follows:

A. Titles of Original Constructions to determine the center of circle directly implementing Central 60 Degree Angle Theorem :

I have invented the following four(4) methods of constructions to determine the center of circle directly implementing Central 60 Degree Angle Theorem :

Serial No. Title of Method Collaboration With

To Determine Date of Invention and Proof

01. 30 Degree Method Central 60 Degree Angle Theorem

Center of Circle The 8th May,2010

02. Arc Bisection Method

Central 60 Degree Angle Theorem

Center of Circle The 4th

October,2010 03. 30 Degree Method Central 60 Degree

Angle Theorem Center of Circle The 4th

October,2010 04. 30 Degree Method Central 60 Degree

Angle Theorem Center of Circle The 27

th

December,2010


B. Titles of Original Constructions to determine the center of circle in general methods : I have invented the following five(5) general methods of constructions to determine the

center of circle:



01. Hypotenuse Bisection Method


Center of Circle The 25th April,2007

02. Diameter Bisection Method



October,2010 03. Tangent Method Central 60 Degree

Angle Theorem Center of Circle The 6

th

October,2010 04.

Two Perpendiculars Method



December,2010

05. Two Equal Parallel Chord Method



06. Two Unknown Given Circle



C. Titles of Original Constructions to draw angle of fixed fraction magnitude

without protractor : I have invented the following two (2) methods of constructions including sixty

eight (68) constructions to draw fraction angles from 15 degree to 165 degree :

1.Determination of

7.50,11.25

0,15

0,18.75

0,22.5

0,26.25

0,30

0,33.75

0,37.5

0,41.25

0,45

0,48.75

0,52.5

0,56.25

0,60

0,63.75

0,67.5

0,71.2

5075

0,78.75

0,82.5

0,86.25

0,90

0,97.5

0,105

0,112.5

0,120

0,127.5

0,135

0,142.5

0,150

0 ,157.5

0,165

0 and 172.5

0

angles by newly invented Central 60 Degree Angle Theorem.

Date of Invention & Proof:05.06.2011 2.Determination of 7.5

0,11.25

0,15

0,18.75

0,22.5

0,26.25

0,30

0,33.75

0,37.5

0,41.25

0,45

0,48.75

0,52.5

0,56.25

0,60

0,63.75

0,

67.50,71.250750,78.750,82.50,86.250,900,97.50,1050,112.50,1200,127.50,1350,142.50,1500 ,157.50,1650 and 172.5

0 angles by Concurrent Vertex Equal Equilateral Triangle Method.

Date of Invention & Proof:10.06.2011

*** Construction of Circle From Axioms , Postulates , Theorems and Definitions .

Date of Invention & Proof : 22.06.2014


D. Titles of Original Constructions of Hexagonal implementing Central 60 Degree

Angle Theorem : I have invented the following four(4) methods of constructions to draw Hexagonal

implementing Central 60 Degree Angle Theorem:



01. Reference Circle Central 60 Degree Angle Theorem

Inscribed Hexagonal

The 16th July,2011

02. Reference Circle 120 Degree Method


Inscribed Hexagonal

The 17th July,2011


Inscribed Hexagonal



Inscribed Hexagonal

The 15th

August,2011

E. Titles of Original Constructions of Golden Ratio :

I have invented the following construction to determine the Golden Ratio Point on diameter of circle:

1.Construction of Golden Ratio and Golden Ratio Point on the diameter of the circle.

Date of Invention and Proof:23.07.2011

F. Titles of Original Construction of Perpendicular implementing Central 60

Degree Angle Theorem and Equilateral Triangle Method :

1. Recent Construction Method of Perpendicular with assistance of Central 60 Degree Angle Theorem.

(6 constructions)


2. Recent Construction Method of Perpendicular with assistance of Equilateral Triangle Method.

(6 constructions)



G.Titles of Original Constructions to determine the center of circle implementing

the theory of Reference Circle with assistance of Central 60 Degree Angle

Theorem : I(Researcher Engineer Ahmed Rafique Aziz) have invented the following Thirty Four (34)

methods of constructions to determine the unknown center of circle implementing the theory of Reference

Circle with assistance of Central 60 Degree Angle Theorem from 2011 to 2012 :



01. ( 60 Degree Method)


Center of Circle The 16th July,2011







04. Reference Circle 300-1800 Angle Method









07. Reference Circle Equilateral Triangle Method



August,2011

08. Reference Circle 60 Degree Angle Equal Circle Method


Center of Circle

The 22nd

March,2012



Center of Circle

The 24

th

March,2012



Center of Circle

The 24

th

March,2012

11. Reference Circle 30 Degree Angle Two Diameter Method


Center of Circle

The 8

th April,2012



Center of Circle

The 8

th April,2012



Center of Circle

The 8

th April,2012


14. Reference Circle 30 Degree Angle Equilateral Triangle Corollary Method


Center of Circle

The 8

th April,2012

15.

Reference Circle 60 Degree Angle Equilateral Triangle Corollary Method


Center of Circle

The 8th April,2012

16.

Reference Circle 120 Degree Angle Equilateral Triangle Corollary Method


Center of Circle

The 8th April,2012

17.

Reference Circle 60 Degree Angle Method


Center of Circle

The 8

th April,2012

18.

Three(3) Reference Circle Four(4) Equal 60 Degree Angle Inscribed Quadrilateral Method


Center of Circle

The 25

th April,2012

19.

Reference Circle Two Equal 60 Degree Angle Method


Center of Circle

The 25

th April,2012

20.

Reference Circle 90 Degree Angle Diameter Bisection Method


Center of Circle

The 18

th May,2012

21.

Reference Circle 90 Degree Angle Two Diameter Method


Center of Circle

The 18

th May,2012

22.

Reference Circle 90-120 Degree Angle Method


Center of Circle

The 18

th May,2012

23.



Center of Circle

The 18

th May,2012

24.



Center of Circle

The 18

th May,2012

25.

Reference Circle 90 Degree Angle Two Diagonal Inscribed Quadrilateral Method


Center of Circle

The 18

th May,2012

Reference Circle


26.

90-60 Degree Angle Equal Circle Method


Center of Circle

The 18

th May,2012

27.

Reference Circle 15 Degree Angle Two Diameter Method


Center of Circle

The 22nd October,2012

28.



Center of Circle

The 28

th

October,2012

29.

Reference Circle 22.5 Degree Angle Two Diameter Method


Center of Circle

The 22

nd

October,2012

30.

Reference Circle 22.5 Degree Angle Diameter Bisection Method


Center of Circle

The 28

th

October,2012



Center of Circle

The 22

nd

October,2012

32.



Center of Circle

The 28

th

October,2012

33. Reference Circle 75 Degree Angle Radius Method


Center of Circle

The 22nd

October,2012

34.

Reference Circle 15 Degree Angle Radius Method


Center of Circle

The 31st

October,2012

H. Titles of Original constructions Methods Implementing Inscribed Angles

Measurements extract from Reference Circle Theory of Central 60 Degree

Angle Theorem [ CAT60D] associated with Chord Derivation Using Protractor

Set – I : Inscribed Angle Diameter Bisection Method 1. Determination of Center of Circle implementing 15 Degree Inscribed Angle Diameter

Bisection Method associated with Chord Derivation Using Protractor .

Date of Invention and Proof : 07.07.2014

2. Determination of Center of Circle implementing 22.5 Degree Inscribed Angle Diameter




3. Determination of Center of Circle implementing 30 Degree Inscribed Angle Diameter


















I. Titles of Original constructions Methods Implementing Inscribed

Angles Measurements extract from Reference Circle Theory of Central

60 Degree Angle Theorem [ CAT60D] associated with Chord Derivation

Using Protractor

Set – II : Inscribed Angle Two Equal Adjacent Radius Angle Method

9. Determination of Center of Circle implementing 15 Degree Inscribed Angle Two Equal

Adjacent Radius Angle Method associated with Chord Derivation Using Protractor .


10. Determination of Center of Circle implementing 22.5 Degree Inscribed Angle Two Equal






















J.Titles of Original Construction Methods Implementing Inscribed Angles

on Minor Arc associated with Chord Derivation to Determine center of

Circle :

1. Determination of Center of Circle implementing Complementary Angle Diameter Bisection Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


2. Determination of Center of Circle implementing Two Equal Adjacent Radius Complementary

Angle Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .



3. Determination of Center of Circle implementing Supplementary Angle Diameter Bisection Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


4. Determination of Center of Circle implementing Supplementary Angle Two Equal Adjacent Radius Angle Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


5. Determination of Center of Circle implementing Equilateral Triangle Complementary Angle Diameter Bisection Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


6. Determination of Center of Circle implementing Equilateral Triangle Two Equal Adjacent Radius Complementary Angle Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


7. Determination of Center of Circle implementing Equilateral Triangle Supplementary Angle Diameter Bisection Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


8. Determination of Center of Circle implementing Equilateral Triangle Supplementary Angle Two Equal Adjacent Radius Angle Involving Inscribed Angle on Minor Arc Method associated with Chord Derivation .


9. Determination of Center of Circle implementing Theoretical Two Equal Adjacent Acute Angle Diameter Bisection Method Involving Inscribed Angle on Major arc associated with Chord Derivation


10. Determination of Center of Circle implementing Theoretical Adjacent Acute Angle of Radius Diameter Bisection Method Involving Inscribed Angle on Major arc associated with Chord Derivation



[ 10.6 ] Original Geometrical Problems : A.Original Geometrical Problems Provided From Central 60 Degree Angle Theorem :

1.List of Geometrical Problems From Figure of Central 60 Degree Angle Theorem associated with

Diameter Method.(20 listed Problems )

Date of Geometrical Problems : 16.09.2012

2. List of Geometrical Problems From Figure of Central 60 Degree Angle Theorem associated with

General Method.(15 listed Problems)


B.Original Geometrical Problems Provided From Recent Theories of Pythagoras Theorem :

List of Geometrical Problems From Recent Figure of Analysis and Derivation of Geometrical Properties of Semicircle Angle involving Right Triangle and Pythagoras Theorem.(29 listed Problems)


C. List of Original Geometrical Problems from the figure of Central 60 Degree

Angle Theorem considering Minor Arc :

There are 15 distinct Geometrical Problems from the figure of Central 60 Degree Angle Theorem

considering Minor Arc.


D.List of Original Geometrical Problems from the figure of Central 60 Degree

Angle Theorem considering Major Arc :

There are 4 distinct Geometrical Problems from the figure of Central 60 Degree Angle Theorem

considering Major Arc.



[ 10.7 ] Theoretical Research Works on Mathematical Physics :

Two (2) recent derivations through Vector Analysis and Trigonometry for determination of the magnitude of the resultant of forces and five new formulas pertinent to Parallelogram Law. Date of Derivation : 18.12.2008

From the theoretical research,the Researcher Engineer Ahmed Rafique Aziz has invented the following

new formulas pertinent to Parallelogram Law without laboratory experiments and observations..These

formulas are showed as follows:

1.R =QSinα/Sin θ

Here,R=Resultant vector

Q=Vertical vector

Sinα=Sine ratio of included angle between two concurrent vectors

Sin θ =Sine ratio of included angle between resultant of vetors and horizontal vector

2.R=PSin α /SinΦ

Here, R=Resultant vector

P=Horizontal vector Sinα=Sine ratio of included angle between two concurrent vectors

SinΦ =Sine ratio of included angle between resultant of vectors and vertical vector

3.P= QSinα/ tan { Sin-1(QSinα/R)} – Qcosα

Here,P=Horizontal vector

Q=Vertical vector

R=Resultant vector


cosα=Cosine ratio of included angle between two concurrent vectors

4.Q=RSin{ α- Sin-1(PSinα/R)}/Sinα

Here,P=Horizontal vector

Q=Vertical vector

R=Resultant vector


α= Included angle between two concurrent vectors

5.α = Sin-1[ R/QSin { tan-1{√( 2P2Q2+2R 2P2+2Q2 R2-R4-P4-Q4)/(P2+R2-Q2)}}]

Here, α= Included angle between two concurrent vectors

P=Horizontal vector

Q=Vertical vector

R=Resultant vector


[ 11 ] Application of Euclidean Plane Geometry in Circle :

Serial No . Applied Fields 1. Crafts 2. Smart Shopping 3. Food 4. Engineering 5. Teaching 6. Statistics 7. Carpentary 8. Aerospace 9. Agriculture 10. Recreation 11. Navigation 12. Mechanics 13. Space 14. Water Management 15. Architecture 16. Constructions 17. Pie-graphs 18. Chemistry 19. Sales 20. Physics

B. Application of Euclidean Plane Geometry in Pythagoras Theorem : Serial No . Applied Fields

1. Science 2. Sports 3. Constructions 4. History 5. Auto-repair

C. Application of Euclidean Plane Geometry in Trigonometry :

Serial No . Applied Fields

1. Navigation 2. Aviation 3. Electronics 4. Meteorology 5. Fire Fighting 6. Aerospace 7. Travel 8. Physics 9. Gardening

10. Surveying 11. Transportation 12. Algebra


[12 ] Summary of Original Central 60 Degree Angle Theorem :

In this following section,I (Researcher Engineer Ahmed Rafique Aziz) have summarized entire original

,recent, higher and modern theories ,proofs,corollaries,applications and constructions of Central 60

Degree Angle Theorem briefly as follows:

A. Original Proofs of Central 60 Degree Angle Theorem :

There are five(5) distinct Geometrical reasoning proofs of Central 60 Degree Angle Theorem.These

proofs are stated as follows:

1.Proof from circle comparison.

2.Proof from Geometrical Equations.

3.Proof from construction of Perpendicular.

4.Proof from construction of Rectangle.

5.Proof from construction of Tangent.

There are two special proofs of Central 60 Degree Angle Theorem.These are as follows:

1.Special proof from Trigonometry.

2.Special proof from Calculas ( Differential Geometry )

B.Original Corollary of Central 60 Degree Angle Theorem :

Central 60 Degree Angle Theorem provides four(4) corollaries.These corollaries are stated as

follows:

(i)Corollary of Inscribed/Cyclic Angle.

(ii)Corollary of Arc.

(iii)Corollary of Chord.

(iv)Corollary of Equilateral Triangle.

C.Original Application of Central 60 Degree Angle Theorem :

Central 60 Degree Angle Theorem is implemented to prove almost Fifty(50) theorems of

Euclidean Plane Geometry. One Hundred and Thirteen (113) proofs of constructions are also involved

Central 60 Degree Angle Theorem.The statistics of the total One Hundred and Sixty Two (162) proofs are

stated as follows:

(i)Thirty Three (33) proofs of Circle.

(ii)Eleven(11) proofs of Triangle.

(iii)One(1) proof of Tetragonal.

(iv)Three(3) proofs of Pythagoras Theorem.

(v)One(1) proof of Inverse Theorem of Pythagoras.

(vi) One Hundred and Thirteen (113) proofs of Constructions.


D.Original Construction implementing Central 60 Degree Angle Theorem :

Central 60 Degree Angle Theorem is implemented in One Hundred and Thirteen(113)

constructions of Euclidean Plane Geometry.The statistics of the constructions are asserted as follows:

(i)Sixty Nine(69) constructions to determine the center of circle.

(ii)Four(4) constructions of Hexagonal.

(iii)Thirty Four(34) constructions of Fraction Equal Angle Plotting.

(iv)Six(6) constructions of Perpendicular.

[ 13 ] Statistics of invented original theories implementing Central 60 Degree Angle Theorem by Professor Ahmed Rafique Aziz in the field of Euclidean Plane Geometry of Pure Mathematics from August,2001 to December,2012 :

1.7 theories of derivation of Central 60 Degree Angle Theorem.

2. 7 theories of corollary of Central 60 Degree Angle Theorem.

3.2 theories of area and circumference of circle implementing Central 60 Degree Angle Theorem.

4.4 theories of constructions to determine the center of circle directly utilizing Central 60 Degree Angle

Theorem.

5.34 theories of plotting of angles of fixed fraction magnitude implementing Central 60 Degree Angle

Theorem.

6.4 theories of constructions of Hexagonal implementing Central 60 Degree Angle Theorem.

7.9 theories of Triangle properties inscribed in circle implementing Central 60 Degree Angle Theorem.

8.34 theories of constructions to determine the center of circle with assistance of Central 60 Degree

Angle Theorem implementing the theories of Reference Circle.

9.31 theories of constructions to determine the center of circle with assistance of Central 60 Degree

Angle Theorem implementing the theories of Equal Angle Plotting.

10.1 theory of Pythagoras Theorem with assistance of Central 60 Degree Angle Theorem.

11.1 theory of Inverse Theorem of Pythagoras with assistance of Central 60 Degree Angle Theorem.

12.2 theories of Pythagoras Theorem instance of Right Triangle inscribed in circle utilizing Central 60

Degree Angle Theorem.


13.1 theory of Pythagoras Theorem instance of Right Triangle inscribed in circle implementing

Trigonometrical ratio of Sine and Cosine functions of complementary angles using Sine Formula of

Addition of Compound Angle with assistance of Central 60 Degree Angle Theorem.

14.5 theories of Pythagoras Theorem from construction of Perpendicular and Rectangle

instance of Right Triangle inscribed in circle implementing Trigonometrical ratio of Sine and Cosine

functions of complementary angles using Sine Formula of Addition of Compound Angle with assistance

of Central 60 Degree Angle Theorem.

15.50 manifold theories of Euclidean Plane Geometry have been proved implementing the concept of

Central 60 Degree Angle Theorem.

16.21 theories of Geometrical Ratios and Proportions of Central 60 Degree Angle Theorem.

17.6 Theories of constructions of Perpendicular with assistance of Central 60 Degree Angle Theorem.

Remark : There is total 174 listed recent original theories implementing the concept of Central 60 Degree Angle Theorem by Professor Ahmed Rafique Aziz from 2001 to 2012.

[14 ] Statistics of Invented Original General Theories by Professor Ahmed Rafique Aziz in the field of Euclidean Plane Geometry of Pure Mathematics from August,2001 to October,2012 :

1.32 general theories of construction to determine the center of circle.

2.34 general theories of plotting of angles of fixed magnitude.

3.1 theory of Golden Ratio.

4.1 theory of Pythagoras Theorem implementing Trigonometrical ratio of Sine and Cosine functions of

complementary angles using Sine Formula of Addition of Compound Angle.

5.1 theory of Inverse Theorem of Pythagoras implementing Cosine Law.

6.1 theory of analysis and derivation of geometrical properties of Semicircle angle involving Right Triangle

and Pythagoras Theorem.

7.1 theory of corollary of relationship among Central angle,Inscribed angle and Arc.

8.1 theory of Angle Pair and Arc measurement.

9.18 theories of curve with regard to fundamental relationship among central angle,inscribed angle,arc

and chord.

10.1 theory of derivation of chord.

11.1 theory of Fifteen Degree Tetragonal.


11. 3 theories of Pythagoras Theorem implementing Trigonometrical ratio of complementary angles.

Remark :There is total 68 listed recent original general theories in the field of Euclidean Plane Geometry by Professor Ahmed Rafique Aziz from 2001 to 2012.

[ 15 ] Titles of Written Original Research Papers :

In 2009-2015, I (Researcher Engineer Ahmed Rafique Aziz) have written almost (authored) Three

Hundred (300) original Research Papers individually which would be submitted to International Journal

for publications.In this section,I (Researcher Engineer Ahmed Rafique Aziz) have highlighted only the

titles of my Thirty Eight (38) original Research Papers within rest Two Hundred and Sixty Two (262)

original Research Papers.My Theoretical Research works have been conducting since 2001.My

Research Papers have substantially involved Euclidean Plane Geometry[1,3-38].My Research Papers[2]

on Mechanics involved two new derivations of Parallelogram Law and five new formulas pertinent to

Parallelogram Law.In 2010,my Research Papers[1] with regard to my invented Central 60 Degree Angle

Theorem had been accepted for publication in International Journal of Pure and Applied Mathematics.My

Research Papers[3] has showed the entire geometrical properties of inscribed semicircle angle and

proofs of Pythagoras Theorem and Inverse Theorem of Pythagoras through Central 60 Degree Angle

Theorem .Moreover,my Research Papers [5] has explained the generic and fundamental relationship

among arc,central angle and inscribed angle and associated corollary and new conception of “Angle

Pair”.My Research Papers[7] has successfully highlighted the determination of center of circle which is

certainly a remarkable invention of Euclidean Plane Geometry.In Research Papers [10] and [11],I have

showed two methods to draw several angles between 150 to 165

0.In Research Papers [12],I have

exhibited a geometrical method to determine the very important Golden Ratio and Golden Ratio Point on

diameter of circle.In Research Papers [13] and [14],I have provided two new concepts “Reference Circle”

and “Equal Angle Plotting” to determine the unknown center of a given circle utilizing my Central 60

Degree Angle Theorem.In Research Papers [15],I have demonstrated 4 recent constructions to draw

inscribed Hexagonal in a given circle with assistance of Central 60 Degree Angle Theorem.In Research

Papers [16],I have showed Geometrical Analysis ,Measurement and Graphical Representations of

Generic and Fundamental Relationships among Arc, Chord , Central Angle and Inscribed Angle of Circle.

Recently,in 2012,I have invented,proved,analysed(researched) and authored Nineteen(19) Research

Papers individually regarding theories of circle of Euclidean Plane Geometry.In several Research Papers

,I have implemented Central 60 Degree Angle Theorem successfully and flawlessly.These Research

Papers are my recent brainchilds which certainly provide higher and modern theories and proofs

comparatively than existing conventional theories and proofs of Euclidean Plane Geometry.[17] is a new

upgraded edition Research Papers of Central 60 Degree Angle Theorem referenced to my previous

accepted [1] Research Papers of Central 60 Degree Angle Theorem.This Research Papers has

contained and briefly explained entire invented,proved and analysed modern and higher theories of

Central 60 Degree Angle Theorem from 2001 to August,2012 which is the broadest and top theorem of

circle.Certainly,Central 60 Degree Angle Theorem has uniquely possessed all the conventional existing

theories of circle of Euclidean Plane Geometry.[18] is a Research Papers relevant to recent theories of

construction to determine the unknown center of given circle.This theory is involved with a measuring

circle entitled as “Reference Circle” .These theories of Reference Circle is directly originated from Central

60 Degree Angle Theorem.I have showed another similar theory of construction to determine the

uncertain center of circle entitled as “Equal Angle Plotting” in Research Papers [ 19].Equal Angle Plotting

also contained several natural theories which are explained in Research Papers [ 19] which is also

entirely emanated from Central 60 Degree Angle Theorem.In Research Papers [20],I have vividly

exposed the theories of Angle Pair associated with the generic and fundamental relationship within


arc,central angle and inscribed angle .In Research Papers [ 21] ,I have designed a geometrical method to

locate the Golden Ratio point on diameter inside circle including required theories.I have also successfully

applied Central 60 Degree Angle Theorem to draw inscribed Hexagonal.In Research Papers [ 22],I

have showed four(4) fresh methods to draw inscribed Hexagonal.In Research Papers [23],I have

exhibited four(4) plain methods of construction to determine the uncertain center of a given circle

including inherent theories of Central 60 Degree Angle Theorem which generally explained the center

fixing methods of construction.[24] is a Research Papers regarding a interesting Quadrilateral entitled as

“Fifteen (15) Degree Quadrilateral” which contained several characteristics which I have found inside

circle due to figure of Central 60 Degree Angle Theorem.Since this Quadrilateral has possessed notable

characteristics,so ,I have experienced the requirements to note the properties in a Research Article.[ 25]

is a Research Papers where I have thoroughly explained and analysed the involving theories of four(4)

corollaries of Central 60 Degree Angle Theorem.These remarkable corollaries of Central 60 Degree

Angle Theorem are applied flawlessly in numerous geometrical proofs,constructions and problems.In

Research Papers [ 26],I have exposed Parallelogram Law of Mathematical Physics through Vector

Analysis and Trigonometry .These two derivations are recent including theories of Parallelogram Law.

Angle Sum Theorem is an essential theorem of Euclidean Plane Geometry .In Research Papers [27],I

have proved Angle Sum Theorem instance of Circle,Triangle and Quadrilateral including required

theories.Also,I have applied Central 60 Degree Angle Theorem to analyse Angle Sum Theorem instance

of Circle,Triangle and Quadrilateral .Recently,I have invented five(5) formulas of Mathematical Physics

pertinent to Parallelogram Law .In Research Papers [28],I have asserted the required theories

,explanations and derivations pertinent to Parallelogram Law.I have proved several theorems of

Quadrilateral of various types.Then,in Research Papers [29],I have showed the recent proofs involving

theories of Quadrilaterals.Central 60 Degree Angle Theorem has possessed a significant figure

containing numerous considerable geometrical informations,facts and theorems which I have very

recently invented (September,2012) .I have derived several geometrical problems from this remarkable

figure of Central 60 Degree Angle Theorem.This weighted figure of Euclidean Plane Geometry is drawn

employing two distinct methods.One method is entitled as “Diameter Method” where the circle is divided

symmetrically in two segments including constant geometrical measurements.In Research Papers [ 30],I

have explained and analysed all the theories possessed by the figure implementing “Diameter Method” of

Central 60 Degree Angle Theorem.The figure of Central 60 Degree Angle Theorem through general

method has not contained so many constant geometrical measurements.Nevertheless,considerable

geometrical informations,facts and theorems are obtained from this weighted figure of Euclidean Plane

Geometry.In Research Papers [31],I have explained and analysed all the theories regarding the figure

through General method of Central 60 Degree Angle Theorem .Successfully,I have derived considerable

geometrical problems from this remarkable figure.In Research Papers [32],I have showed a recent theory

of derivation of chord of circle.I have invented a corollary regarding the inseperable relationship within

circular arc,central angle and inscribed angle.In Research Papers [33],I have proved and analysed the

recent corollary including implementation of Central 60 Degree Angle Theorem to the respective

corollary.In Research Papers [34],I have designed recent geometrical construction method of

perpendicular in collaboration with Central 60 Degree Angle Theorem.In Research Papers[ 35],I have

showed the geometrical ratio within interactive various circular quantities such as arc,central

angle,inscribed angle,chord,area and area of Equilateral Triangle of Central 60 Degree Angle

Theorem.Remarkably,I have also showed the essential geometrical proportional interaction within

respective circular components of Central 60 Degree Angle Theorem. In Research Papers [36],I have

designed recent geometrical construction method of perpendicular in collaboration with Equilateral

Triangle Method. In Research Papers [37],I have explained and solved some Geometrical problems from

figure of Central 60 Degree Angle Theorem considering minor arc.In Research Papers [38],I have

explained and solved some Geometrical problems from figure of Central 60 Degree Angle Theorem

considering major arc.


Undoubtedly,my original Research Papers [1,3-38] provides considerable recent knowledges of

Euclidean Plane Geometry as well as Mathematics which should be included in the textbook and I

hope that these invented knowledges of Pure Science should be studied in schools,colleges and

universities.However,I can say that certainly,my original theoretical research works on Euclidean

Plane Geometry have contributed to Pure Mathematical Science.

The titles of Thirty Eight (38) original Research Papers within Three Hundred (300) original Research

Papers are showed as follows:

A.Original Research Papers Associated With Central 60 Degree Angle Theorem < CAT60D> :

[1] Aziz, Ahmed R..The degree measure of the central angle generates by the arc which is /3 times of

the radius of the circle is equal to 60 Degree.( Accepted. International Journal of Pure and Applied

Mathematics ,Bulgaria-IeJPAM, ISSN 1314-0744 )

[2] Aziz , Ahmed R . . Analysis and Derivation of Geometrical Properties of Semicircle Angle involving

Right Triangle and Pythagoras Theorem Inscribed in Circle and Proofs of Pythagoras Theorem and

Inverse Theorem of Pythagoras with assistance of Central 60 Degree Angle Theorem. [ Peer Review

Accomplished /2011 ]

[3]Aziz , Ahmed R .. Analysis and recent proofs of generic and fundamental relationship among arc,

central angle and inscribed angle of circle and application of Central 60 Degree Angle Theorem.

[Accepted.International Journal of Mathematics Research.Paper Code : 11448 Research India

Publications,New Delhi,India /2011.Accepted.Global Journal of Mathematical Science :Theory and

Practical. Paper Code :8103 Research India Publications,New Delhi,India /2011]

[4] Aziz , Ahmed R .. Ascertainment of “Instance of Triangles inscribed in circle,all theorems of

Euclidean Plane Geometry involving Triangle reside constant” with assistance of Central 60 Degree

Angle Theorem.[Would be submitted to International Journal ]

[5]Aziz , Ahmed R .. Proofs and analysis of theorems of Euclidean Plane Geometry involving circle with

assistance of Central 60 Degree Angle Theorem .[ Would be submitted to International Journal ]

[6] Aziz , Ahmed R .. Essential recent constructions of determination of 7.50, 11.250, 150, 18.750, 22.50, 26.250, 300, 33.750, 37.50, 41.250, 450, 48.750, 52.50, 56.250, 600, 63.750,67.50, 71.250 750, 78.750, 82.50, 86.250, 900, 97.50, 1050, 112.50, 1200, 127.50, 1350, 142.50, 1500 ,157.50, 1650 and 172.50 angles (fraction angles) with assistance of Central 60 Degree Angle Theorem Method. [Would be submitted to International Journal ]

[7] Aziz , Ahmed R .. Recent Method of Discernment of center of circle implementing the concept of

Reference Circle with assistance of Central 60 Degree Angle Theorem.[ Would be submitted to

International Journal ]

[8] Aziz , Ahmed R.. Recent construction of Hexagonal with assistance of Central 60 Degree Angle

Theorem.[ Would be submitted to International Journal ]


[9] Aziz , Ahmed R.. Theories of Central 60 Degree Angle Theorem.[Peer Review Accomplished/2012]

[10] Aziz , Ahmed R.. Theories of Reference Circle originated from Central 60 Degree Angle Theorem.[

Would be submitted to International Journal ]

[11] Aziz , Ahmed R .. Modern Theories and Construction Methods of inscribed Hexagonal in

collaboration with Central 60 Degree Angle Theorem.[ Would be submitted to International Journal ]

[12] Aziz , Ahmed R .. Plain Theories and Construction Methods for Determination of center of circle

associated with the theories of Central 60 Degree Angle Theorem.[ Would be submitted to


[13] Aziz , Ahmed R.. Explanations of Theories of Corollaries of Central 60 Degree Angle Theorem.[


[14] Aziz , Ahmed R.. Recent Theories and Proofs of Angle Sum Theorem of Triangle, Quadrilateral and

Circle and Implementation of Central 60 Degree Angle Theorem.[ Would be submitted to International

Journal ]

[15] Aziz , Ahmed R.. Recent Theories and Explanations of Figure of Central 60 Degree Angle Theorem

associated with Diameter Method. [ Would be submitted to International Journal ]

[16] Aziz , Ahmed R .. Recent Theories and Explanations of Figure of Central 60 Degree Angle Theorem

Through General Method.[ Would be submitted to International Journal ]

[17]Aziz , Ahmed R .. Proofs and Analysis of Recent Corollary of relationship within arc, central angle

and inscribed angle of circle and Application of Central 60 Degree Angle Theorem. [ Would be

submitted to International Journal ]

[18] Aziz , Ahmed R.. Recent Construction Method of Perpendicular in collaboration with Central 60

Degree Angle Theorem.[ Would be submitted to International Journal ]

[19] Aziz, Ahmed R.. Theories of Geometrical Ratios of Central 60 Degree Angle Theorem.[ Would be


[20] Aziz , Ahmed R .. Explanation and Solution of Some Geometrical Problems from figure of Central

60 Degree Angle Theorem considering minor arc.[ Would be submitted to International Journal ]

[21] Aziz , Ahmed R .. Explanation and Solution of Some Geometrical Problems from figure of Central

60 Degree Angle Theorem considering major arc. [ Would be submitted to International Journal ]


B.Original Research Papers of Mathematical Sciences :

[1]Aziz ,Ahmed R .. Derivation of “ Father of Vector Composition” of Mechanics with assistance of

Vector Analysis and Trigonometry .[ Peer Review Accomplished/2011]

[2] Aziz , Ahmed R.. Relation among Pythagoras Theorem, Right Triangle and Trigonometry: New

invention of Euclidean Plane Geometry. [ Peer Review Accomplished/2010]

[3] Aziz , Ahmed R.. Discernment of center of circle with recent method.[Peer Review

Accomplished/2011]

[4] Aziz , Ahmed R .. Proofs and analysis of essential theorems of circle of Euclidean Plane Geometry in

recent method. [Would be submitted to International Journal]

[5] Aziz , Ahmed R .. Essential recent constructions of determination of 7.50, 11.250, 150, 18.750, 22.50, 26.250, 300, 33.750, 37.50, 41.250, 450, 48.750, 52.50, 56.250, 600, 63.750,67.50, 71.250

750, 78.750,82.50,86.250,900,97.50,1050,112.50,1200,127.50,1350,142.50,1500 ,157.50,1650 and 172.50 angles

(fraction angles)with assistance of Concurrent Vertex Equal Equilateral Triangle Method. [Would be submitted to International Journal] [6] Aziz , Ahmed R.. Recent construction of Golden Ratio and Golden Ratio Point on diameter of circle . [Would be submitted to International Journal]

[7] Aziz , Ahmed R .. Geometrical Analysis , Measurement and Graphical Representations of Generic

and Fundamental Relationships among Arc, Chord , Central Angle and Inscribed Angle of Circle of

Euclidean Plane Geometry. [Would be submitted to International Journal]

[8] Aziz , Ahmed R.. Theories of Angle Pair associated with generic and fundamental relationship

within arc, central angle and inscribed angle of Circle. [Would be submitted to International Journal]

[9] Aziz , Ahmed R.. Theories and Geometrical Method of Golden Ratio on diameter inside circle.

[Would be submitted to International Journal]

[10] Aziz , Ahmed R .. Recently Invented Theories of Fifteen(15) Degree Quadrilaterals. [Would be

submitted to International Journal]

[11]Aziz , Ahmed R .. Recent Proofs and Theories of manifold Quadrilaterals. [Would be submitted to

International Journal]

[12] Aziz , Ahmed R .. Recent Theory of Derivation of Chord. [Would be submitted to International

Journal]

[13] Aziz , Ahmed R .. Recent Construction Method of Perpendicular in collaboration with Equilateral

Triangle Method. [Would be submitted to International Journal]


C.Original Research Papers of Mathematical Physics / Mechanics :

1. Aziz,Ahmed R.. Original Recent Derivation of “ Father of Vector Composition “ of Mechanics with

assistance of Vector Analysis and Trigonometry . [ Peer Review Accomplished / 2010 ]

2. Aziz , Ahmed R.. Recent Original Derivation of Parallelogram Law [ Father of Vector Composition ]

of Mechanics as well as Mathematical Physics in collaboration with Vector Analysis. [ Would be


3. Aziz , Ahmed R.. Recent Original Derivation of Parallelogram Law [ Father of Vector Composition ]

of Mechanics as well as Mathematical Physics in collaboration with Inverse Circular Function of

Trigonometry . [ Would be submitted to International Journal ]

4. Aziz , Ahmed R.. Recent Original Trigonometrical Modification of Parallelogram Law Associated

with Included Angle within Horizontal Component of non-parallel concurrent vectors and

Resultant ( Diagonal of Respective Parallelogram ) Component of non-parallel concurrent vectors

. [ Would be submitted to International Journal ]

5. Aziz , Ahmed R.. Recent Original Trigonometrical Modification of Parallelogram Law Associated

with Included Angle within Vertical Component of non-parallel concurrent vectors and Resultant (

Diagonal of Respective Parallelogram ) Component of non-parallel concurrent vectors . [ Would

be submitted to International Journal ]

6. Aziz , Ahmed R.. Recent Original Trigonometrical Modifications of Horizontal Component of

Parallelogram Law of Mechanics as well as Mathematics Physics . [ Would be submitted to


7.Aziz , Ahmed R.. Recent Original Trigonometrical Modifications of Vertical Component of

Parallelogram Law of Mechanics as well as Mathematics Physics . [ Would be submitted to


8. Aziz , Ahmed R.. Recent Original Trigonometrical Derivation of Included Angle within Two non-

parallel concurrent vectors of Parallelogram Law of Mechanics as well as Mathematical Physics . [


D . Original Research Articles of In-Organic Chemistry :

1. Aziz , Ahmed R ..Commencements , Misapprehentions , Limitations and Corrections of

Rutherford’s Atom Model .[ Elementary Research Expositions Articles . Would be submitted ]


[16 ] Remarks Regarding Original Theoretical Research Works On Constructions of

Center of Circle and Theories of Center of Circle :

The set of all points which lie in a given plane, π ,and whose distance from a given point, P, in π is a

given positive number, r ,is called a circle. A circle is the set of all points in a plane that are a given

distance from a given point in the plane called the center.A circle is named by its center.I (Researcher

Engineer Ahmed Rafique Aziz) have invented total One hundred (100 ) constructions to determine the

center of given circle of Euclidean Plane Geometry including implementing the theories of Reference

Circle,Equal Angle Plotting ,Central 60 Degree Angle theorem and four(4) general methods during last

three (3) years from 2010 to December, 2014.During previous two years 2010 and 2011,I have invented

twenty one (21) constructions to determine the unknown center of a given circle.In 2010,I have exhibited

four(4) methods of constructions to determine the center of circle directly implementing my brainchild

Central 60 Degree Angle Theorem.Besides this,in the same year (2010),I have invented five(5) general

methods of constructions to determine the center of circle which are remarkable inventions of Euclidean

Plane Geometry.In 2011,I have invented seven(7) constructions employing the concept of “Reference

Circle” originated from Central 60 Degree Angle Theorem.”Reference Circle” is a recent conception of

constructions of circle of Euclidean Plane Geometry. Reference Circle is utilized to draw angle of fixed

measurement .The center of this circle is existed on circumference of the given circle and has lesser area

than given circle.The central angle of Reference Circle is simultaneously the inscribed angle of the given

circle.Reference Circle involved the concept of Angle Duality.I have successfully implemented the

concept of Reference Circle to determine the center of circle with assistance of Central 60 Degree Angle

Theorem. Moreover,in 2011,I have showed six(6) recent constructions of center implementing the

concept of “Equal Angle Plotting” derived from Central 60 Degree Angle Theorem. Equal Angle Plotting is

originated from Central 60 Degree Angle Theorem.I have observed and proved that known measurement

of central angle as well as angle are yielded from Central 60 Degree Angle Theorem. So, equal angle

can be plotted any place by taking the measurement of required angle from any circle employing Central

60 Degree Angle Theorem .I (Researcher Engineer Ahmed Rafique Aziz)would write at least Ninety

(90) original Research Papers associated with these original construction to determine the center of circle

and these Ninety (90) original Research Papers would be submitted to International journal for expectated

essential publications. Although several theorems are existed with regard to center of circle,but there was

no mentionable constructions to determine the center of circle in Euclidean Plane Geometry

.Consequently, I hope that my invented constructions of center of circle would be studied and included in

the textbooks of schools, colleges and universities.

Center Determination Methods Implementing Reference Circle originated from Central 60 Degree

Angle Theorem [ CAT60D ] :

1.Equilateral Triangle Method

2.Equal Circle Method

3. Two Diameter Method

4. Equilateral Triangle Corollary of Central 60 Degree Angle Theorem Method

5.Inscribed Quadrilateral Method

6.Two Equal 60 Degree Method

7.Diameter Bisection Method


8.Two Diagonal Inscribed Quadrilateral Method

9.75 Degree Angle Radius Method

10.15 Degree Angle Radius Method

11.Semicircle Method

[ 17 ] Remarks Regarding Original Research Works involving essential Pythagoras

Theorem :

In 2002,I(Researcher Engineer Ahmed Rafique Aziz) had proved Pythagoras Theorem employing two

methods.In one method ,I had successfully utilized Trigonometrical ratios of complementary

angle,ie,Trigonometrical co-functions and Sine formulae of Trigonometrical ratios of compound angle.In

other method,I had utilized Central 60 Degree Angle Theorem and Sine Law.In 2002,I had also proved

Inverse Theorem of Pythagoras implementing Central 60 Degree Angle Theorem.In 2006,I had proved

Inverse Theorem of Pythagoras applying Cosine Law of Trigonometry.I ,personally,absolutely feel proud

that I am the first Bangladeshi Mathematician who has proved Pythagoras Theorem.Among the Muslim

Arab Mathematician Thabit-ibn-Quarra has proved Pythagoras Theorem.In 2010,I had derived the theory

involving Semicircle angle,inscribed Right Triangle and Pythagoras Theorem.I had written a Research

Papers regarding my theory which has been submitted to International journal for publication.The theory

thoroughly has explained and exhibited all geometrical properties including Semicircle angle,inscribed

Right Triangle and Pythagoras Theorem.Recently,in November,2011,I have proved Pythagoras Theorem

in seven (7) different Geometrical reasoning implementing my previous conception of Trigonometrical

ratios of complementary angle,ie,Trigonometrical ratios of co-functions and Sine formulae of

Trigonometrical ratios of compound angles.From Trigonometry,Sine and Cosine are co-functions of each

other.These co-function concept is broadly utilized flawlessly to prove Pythagoras Theorem..I have also

applied Central 60 Degree Angle Theorem in these proofs.I have proved Pythagoras Theorem from

constructions of Rectangle and Perpendicular.Moreover,I have proved Pythagoras Theorem instance of

Right triangle inscribed in circle.Consequently,I have Fourteen (14) proofs of Pythagoras Theorem and

Inverse Theorem of Pythagoras.I(Researcher Engineer Ahmed Rafique Aziz) would have written several

original Research Papers relevant to these original proofs of Pythagoras Theorem and Inverse Theorem

of Pythagoras and these original Research Papers would be submitted to International Journal for

expectated essential publications.


[ 18 ] Research in B.Sc Electrical and Electronics Engineering (EEE) Phases :

Studied Courses of Electrical and Electronics Engineering : As a successful scholar and Graduate of Electrical and Electronics Engineering,I (Researcher Engineer Ahmed Rafique Aziz) have studied the following Theory courses of Electrical and Electronics Engineering:

(i ) Basic Electrical Engineering (ii) Electric Circuits-I,II,III (iii) Electronics-I,II,III (iv) Electrical Machines-I,II,III (v) Communication Engineering-I,II,III (vi) Power System Analysis-I,II (vii) Electro-Magnetic Fields (viii) Digital Electronics (ix) Electrical Measurements and Instrumentation (x) Micro-Wave Engineering (xi) Control System Engineering (xii) Switchgear and Protection (xiii) MicroProcessors and Peripherals (xiv) Power Electronics and (xv) Power Plant Engineering.

Thesis Title :

Long Overhead Electric Power Transmission Line Design With Assistance of High Voltage Direct Current(HVDC) System.

Seminar Research Papers Title :

Fault Location of Underground Power Cable Using Distributed Parameter Approach.International IEEE Journal citation.

Project Title :

Over Voltage and Under Voltage Protection of Electrical Appliances.

Study Tour :

1. Goalpara 110MW Thermal (Steam Turbine) Power Plant ,Khulna Visit in 2011.

2. Power Grid Company of Bangladesh (PGCB),Khulna Visit in 2011.

3. KUET Substation Visit in 2011.

4. Northen Power Grid Substation ,Gallamari,Khulna Visit in 2010.


[ 19 ] Names of Acquainted and Applied Foreign International Universities

Regarding Teaching and Higher Researches Purposes :

I ( Researcher Engineer Ahmed Rafique Aziz) had considerable relationships , mutual understanding and

exchanges with Vice-Chancellors / Rectors / Presidents , Deans of Faculty, Head / Chairman of

Departments and other teaching staffs , Registrars of several prominent International universities all over

the world remarkably of USA , UK , Japan , Saudi Arabia ,Iran ,Jordan , UAE , Bahrain and Malaysia . In

these universities of the world , I have successive submissions of my up-dated Curriculum Vitae from

2010 . The followings are the names of universities from which I had received messages corresponding to

my teaching interest as Lecturer/Teaching Assistant of Mathematics Department :

1. University of Harvard ,USA

2.California Institute of Technology (Caltech),USA

3.Princeton University,USA

4.Stanford University,USA

5.Cornell University,USA

6.University of OxFord,UK

7.Osaka University,Japan

8.University of Jordan,Jordan

9.Mutah University,Jordan

10.Open University,Malaysia

11.United Arab Emirates University,UAE

12.University of Isfahan,Iran

13.University of Mazandaran,Iran

14.University of Bahrain,Bahrain

15.King Fahd University of Petroleum and Minerals,Dhahran,Saudi Arabia

16.King Saud University,Riyadh,Saudi Arabia

17.University of Hail,Hail,Saudi Arabia

18.Prince Sultan University,Saudi Arabia

19.Prince Muhammed Bin Fahd University,Saudi Arabia

20.Taibah University,Madina,Saudi Arabia

21.King Abdullah University of Science and Technology,Tawl,Saudi Arabia

22.Massacusettes Institute of Technology(MIT),USA.

23.Sultan Qaboos University,Oman.

24.University of Hebron,Israel.

25.University of Betheleham,Israel.

26.Islamic University of Gaza,Palestine.

27.Nazaf University,Palestine.

28.Alexendria University,Egypt.

29.Qatar University,Qatar.

30.Iran university of Science and Technology,Iran.

31.Yarmouk University,Jordan.

32.Shiraz University,Iran.


33.Sudan University of Science and Technology,Sudan.

34.Yale University,USA

35.Columbia University,USA

36.NorthWestern University,USA

37.University of Colorado,USA

38.University of Massacusattes,USA

39.King Abdulaziz University,Jeddah,Saudi Arabia.

40.University of Tokyo , Japan

41.Kyoto University , Japan

42.Tokyo Institute of Technology , Japan

43.Osaka City University , Japan

44.Tel Aviv University , Tel Aviv , Israel

45.Israel Institute of Technology , Haifa , Israel

46.Weizmann Institute of Science , Rehovot,Israel

47.University of Haifa , Haifa , Israel

48. Hebrew University of Jerusalem , Jerusalem , Israel

[ 20 ] Names of Referred International Journals Regarding Submission, Acceptance

and Publications of Original Research Papers/Original Research Articles :

I ( Researcher Engineer Ahmed Rafique Aziz) have considerable acquaintance,knowledges and mutual

understanding and exchanges with editor-in-chief, reviewers (Editorial Board Members), journal

publishers and web-sites of manifold referred International Journals . Followings are the names of

referred International Journals in which , I (Researcher Engineer Ahmed Rafique Aziz) have submissions,

acceptances, exchanges and mutual understanding regarding my written original Research Papers :

1.International Journal of Pure and Applied Mathematics-Bulgaria

2.Annals of Mathematics,USA

3.American Mathematical Monthly,USA

4.International Journal of Mathematics Education in Science and Technology,UK

5.International Mathematics Research Notices,UK

6.Communication in Pure and Applied Mathematics,USA

7.College Mathematics Journal,USA

8.Arabian Journal For Science and Engineering,Saudi Arabia

9.Israel Journal of Mathematics,Israel

10.Moscow Journal of Mathematics,Russia


11.Asian Journal of Mathematics,China

12.Groups,Geometry and Dynamics,UK

13.Journal of Mathematics Teacher Education,Germany

14.International Journal of Geometry,Germany

15.International Electronic Journal of Geometry,Turkey

16.Teaching Children Mathematics,USA

17.Mathematics Teaching in the Middle School,USA

18.Mathematics Teacher,USA

19.Journal For Research in Mathematics Education,USA

20.Global Journal of Pure and Applied Mathematics,India

21.Global Journal of Mathematical Sciences:Theory and Practical,India

22.Communication in Applied Geometry,India

23.International Journal of Mathematics Research,India

24.Journal of American Mathematical Society,USA

25.International Journal of Mathematics,Japan

ON-LINE SUBMISSIONS :

1.Journal of Geometry and Topology,UK

2.Canadian Journal of Mathematics,Canada

3.Central European Journal of Mathematics,Germany

4.Geometric and Functional Analysis,UK

5.Geombinatorics,France

6.Geometric Dedicata,France

7.Educational Studies in Mathematics,USA

8.Duke Mathematical Journal,USA

9.Glasgow Mathematical Journal,UK


10.Journal of London Mathematical Society,UK

11.Bulletin of London Mathematical Society,UK

12.Proceedings of London Mathematical Society,UK

13.Mathematika,UK

14.Bulletin of American Mathematical Society,USA

15.Advances in Geometry,Germany

16.Hiroshima Mathematical Journal,Japan

[21] Proposed Initiatives of Muslim Science and Technology :

Researcher Engineer Ahmed Rafique Aziz would like to establish Muslim Science and Technology(

“Muslim”the title given by Hazrat Ibrahim(A.S) ,the first muslim).Musa-al-Khowrizmi ,Jabir-ibn-

Haiyan,Omar Khaiyum,Al Beruni,Abul Haisum,Thabit-ibn-Qurra,Ibn Sina,Prof.Dr.Abdus Salam, Imam

Khomeni(R.A),Professor Dr. Muhammed Younus are few distinguished Muslim professors whose

contribution is indisputable in Science.For western government,for their mass media and in course of time

,people almost forget the contribution of Muslim Scientists .Our holy Quran is Hikmatul Quran ,ie, the

Science associated book.Countless impressions of Science are existed in Holy Quran. Science and

Technology are inseparably related.Developments and inventions of technologies are not impracticable

and imaginary after experiments,observations,manipulations and research about the given concepts of

Science in Holy Quran .The conception of Islam is enlarged,vivid and enlightening.Immense Islam is the

total precept of life.The period of Ayemi Jahaliet ( the period of darkness)was removed by Islam.The life

of beloved Holy prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) ,preacher of Islam is teachable.It is not

proper to conceive that the teaching of Islam , Holy Quran and Rasul-Allah (P.B.U.H) have removed the

darkness and ignorance of society in short period.Rather we have patience.People should be properly

taught to realize Halal and Haram .We should exercise and practice the rules and regulations of

Islam.Having deep faith on Allah and with patience, we have to teach people the dormant knowledge of

Kalema, Salat,Saum,Jakat and Hazz.There is no superstitions in Islam.Health rules of Islam is very

scientific and useful.We are capable to prevent diseases by following the health rules of Islam. Muslim

Science and Technology provides the knowledge of Science and Technology in light of Islam.It will

change moral character of Muslim people.When the favourable results have reached to people ,peoples

faith on Allah will increase .In agriculture sector, Islamic agriculture play vital and revolutionary role.It will

increase the production of crops.Analysed acquired knowledge of Science and Technology from Holy

Quran ,ie, Muslim Science and Technology would provide radical change in society.All Muslim teachers,

students, scientists,engineers,employees,doctors should come forward with enthusiasm for the prosperity

of diminutive tradition of Muslim Science and Technology as Holy Quran is the best Asmani Kitab which is

conserved in Lauhi –Mahfuz . Muslim Science and Technology is associated with Holy Quran and

beloved Holy prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) . Muslim Science and Technology also

provides social and economical knowledge.

I ( Researcher Engineer Ahmed Rafique Aziz ) would like to resume researches regarding Muslim

Science and Technology which have been interrupted for last 800 years since 1230 .


[ 22 ] Computers and Circuits Affairs and Skills :

Programming Languages : FORTRAN,C & C

++.

Operating Systems : Different versions of WINDOWS , Linux ( Fedora) , UNIX . Application Packages : MicroSoft Word,MicroSoft Excel,MicroSoft Power Point. Hardware Programming : Intel 8085,8086,80286,80386,80486 Microprocessors. Computer Hardware : Acquainting with Computer Hardwares and Computer Hardwares

Troubleshooting. Engineering Analytical Tools : MATLAB, PSpice, WorkBench, LaTex, Mathematica,

AUTOCAD. Electronics Circuits : Acquainting with troubleshooting of Electronics Circuits and design and

fabrications and analysis of Electronics Circuits. Power Engineering Circuits : Acquainting with troubleshooting of Power

Generations,Distributions and Transmissions Circuits and design and fabrications and analysis of Power Generations,Distributions and Transmissions Circuits.

Digital Electronics Circuits : Acquainting with troubleshooting of Digital Electronics Circuits and design and fabrications and analysis of Digital Electronics Circuits.

Electric Circuits : Acquainting with troubleshooting of Electrics Circuits and design and fabrications and analysis of Electrics Circuits.

Power Electronics Circuits : Acquainting with troubleshooting of Power Electronics Circuits and design and fabrications and analysis of Power Electronics Circuits.

Computer Networks : Acquainting with Computer Networks, Computer Networks Softwares and Computer Networks Installations, Maintenance and Troubleshooting.

Electrical Wiring and House Wiring : Sufficient knowledges in Electrical Wiring and House Wiring .

[ 23 ] ORIGINAL TEACHING QUALIFICATIONS : As I would like to inaugurate a recent essential Engineering department , entitled as “ Department of Geometry , Engineering Mathematics , Geometrical Design and Measurements “ , besides my long 14 years original theoretical research experiences and massive original contributions on Geometry of Euclidean Spaces , excellent academic results and successful graduation on Electrical Engineering , I

have possessed the following inherent , intrinsic and natural original teaching qualifications , have

showed below :

1. Teach students how to prove . 2. Teach students how to derive scientific truths as well as Mathematical truths as well as

theorems. 3. Teach students how to assert theorems which would be recent , modern , higher and original . 4. Teach students how to derive expressions . 5. Teach students how to deduce scientific relationships . 6. Teach students how to determine theories to solve Mathematical problems . 7. Teach students how to create functions . 8. Teach students how to think regarding Scientific truths . 9. Teach students how to invent Mathematical methods to solve problems . 10. Teach students how to analyse and think regarding research initiatives . 11. Teach students how to write Research Papers , Research Articles and how to represent Science

in more theoretical and Scientific aspects . 12. Teach students how to conduct classes and deliver lectures and laboratory experiments . 13. Teach students how to participate in Seminars , Symposiums , Conferences etc . 14.Teach students how to design circuits and fabricate devices.


[ 24 ] Language Proficiency : A. English Language : Instruction media for works

Types of Skill

Reading Writing Speaking Listening

Phase Excellent/Fluent Excellent/Fluent Excellent/Fluent Excellent/Fluent

B. Arabic Language : Ha’feez of Holy Quran Mazid

Types of Skill


Phase Excellent/Fluent Moderate Good Excellent/Fluent

C. Bengali as Native Language :

Types of Skill


Phase Excellent/Fluent Excellent/Fluent Excellent/Fluent Excellent/Fluent

[25] Bibliography :

As a Researcher, I (Researcher Engineer Ahmed Rafique Aziz )have been conducting research

particularly on Euclidean Plane Geometry, Trigonometry,Mechanics and Vector

Analysis.Fundamentally,I have been involving in theoretical research on these fields of Mathematics.I

have also studied several books with regard to Electronics and Electric Circuits.My theoretical researches

have been assisting with the following books:

A . Reference Books of Geometry of Euclidean Space ; Widely Known As Euclidean Plane Geometry

[1] Burrill, Gail F , Timothy D. Kanold, Jerry J. Cummins and Lee E. Yunker .Merrill

Geometry , Applications and Connections.Glencoe/McGraw Hill Book Company.

[2] Welchons,A.M and W.R. Krickenberger.Plane Geometry.Ginn and Company.

[3] Hemmerling, Edwin M .Plane Geometry.1958 By John Wily and Sons Inc.

[4] Wylie JR, C.R .Foundations of Geometry.McGraw Hill Book Company.

[5] Henderson, Kenneth B, Robert E. Pingry and George A. Robinson .Modern

Geometry , Its Structure and Function .McGraw Hill Book Company.

[6] Horblit, Marcus and Kaj L. Nielsen.Plane Geometry Problems With Solutions.

Barnes and Noble Inc.


[7] Anderson, Richard D , Jack W. Garon and Joseph G . Gremillion .School

Mathematics Geometry.Houghton Miffin Company.

[8] Thompson , J.E. Geometry For the Practical Man .D.Van Nostran Company.

[9] Maxwell, E.A. The Methods of Plane Projective Geometry , Based on the use of

General Homogeneous Coordinates . The English Language Book Society

& Cambridge University Press.

[10] Allen, Frank B, Edwin C . Douglas , Donald E . Richmond ,Charles E .Rickart

Henry Swain and Robert J . Walker. School Mathematics Study Group ,

Geometry, Prepared under the supervision of the Panel on Sample Textbooks

Of the School Mathematics Study Group.New Haven and London , Yale

University Press.

[11] Bentt B,Albert Jr and L.Ted Nelson.Mathematics For Elementary Teachers.A Conceptual

Approach.Fifth Edition.McGraw Hill Higher Education.

[12] Moise,Edwin E.Elementary Geometry.From An Advanced Standpoint.Addison-Wesley

Publishing Company,INC.

B . Reference Books of Mathematical Physics ; Widely Known As Mechanics

[13] Beer,Ferdinand P and E. Russell Johnston,Jr.Mechanics For Engineers. Fourth Edition, McGraw

Hill International Edition.

[14] Phalen,Thomas E. An Introduction to Mechanics. Northeastern University. HOLT,RINEHART

and WINSTON.

[15] Best, Charles L and William G. McLean. Analytical Mechanics For Engineers: Statics and

Dynamics. International Text book Company ,Scranton, Pennsylvania.

.

[16] O’Neil, Peter V,University of Alabama at Birmingham. Advanced Engineering

Mathematics.Wadsworth Publishing Company,Belmont,California.

[17] Spiegel,Murray R,Ph.d.Theory and Problems of Vector Analysis.Schaum Outlines Series,

McGraw Hill Book Company.

C . Auxiliary Reference Books

[18 ] Stein,R.L.How to Learn Plain English.Monarch Publishers , USA .

[ 19 ] Advanced OXFORD Dictionary.Cambridge University Press , UK .


[20] Resnick,Robert and David Halliday.Physics-1&2.Prentice Hall International,USA.

[ 21 ] Teitelbaum,Harry.How to Write Theses(A Guide to the Research Papers).Monarch Press,USA .

[ 22 ] Prof. Ahmed , S.U .Higher Secondary Trigonometry.Alpha Publishers,

Banglabazar,Dhaka, Bangladesh.

[ 23 ] Khan, Md. Kamruzzaman .Oxford Advanced Learner’s Dictionary

( Bengali to English ). Oxford Press & Publishers , Bangladesh .

[26 ] My Statements of Teachings in University :

Mathematics as an expression of the human mind reflects the active will , the contemplative reason and

the desire for aesthetic perfection . Its basis elements are logic and intuition , analysis and construction ,

generality and individuality . Though different traditions may emphasize different aspects , it is only the

interplay of these antithetic forces and the struggle for their synthesis that constitute the life , usefulness

and supre value of Mathematical Science .

It’s a pleasure that already I have become a Professor [ Assessed / Evaluated ] for my original notable

massive , innovative and impressive contributions in the field of Geometry of Euclidean Spaces which

which is the essential and a fundamental branch of Pure/ Theoretical Mathematics.

Significantly , I have impressive innovations and improvisations in the field of Geometry of Euclidean

Spaces .Recently, I have initialized study on Modern Geometry and Engineering Geometrical Design and

Measurements . After Euclidean Spaces , I have commensed analysis on Geometry of Non-Euclidean

Spaces , Riemannian Spaces , Hilbert Spaces , Banach Spaces , Curvilinear Spaces , Parabolic Spaces ,

Hyperbolic Spaces , Cartesian/Coordinate Spaces , Vector Spaces , Fermi-Dirac Spaces , Gaussian

Spaces , Einstein-Time Spaces and Spherical Spaces .

I [Researcher (Active) Professor (Assessed) Engineer Ahmed Rafique Aziz ] would like to conduct

classes and deliver lectures substantially on Geometry and Engineering Mathematics including Euclidean

Plane Geometry, Solid Geometry, Coordinate Geometry, Two and Three Dimensional Coordinate

Geometry, Non-Euclidean Geometry, Algebraic Geometry, Differential Geometry, Vector Analysis,

Complex Variables and Analysis and Differential Equations.

Also, I would like to conduct classes and deliver lectures on Electric Circuits, Electronics and Power

Engineering.

Moreover, I [Researcher (Active) Professor (Assessed) Engineer Ahmed Rafique Aziz ] would like to

conduct classes and deliver lectures on several other Engineering Departments such as Civil

Engineering, Mechanical Engineering, Water Resource Engineering, Industrial and Production

Engineering, Marine Engineering, Naval Architecture, Architecture and Urban Design and Metallurgy

involving Geometry.


In addition to these , as a Huzur ( in Arabic ) ,ie, Muslim Preacher ( in English ) and Ha’feez of Holy

Quran Mazid , I would like to endeavour to conduct researches on Muslim Science and Technology for

inventions of technologies from existing theories of Science in Holy Quran Mazid. Muslim Science and

Technology is a study of Science originated from Holy Quran Mazid in the light of immense Islam

religion.

My Beloved Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) and Khatun-e-Jannat Syedina Hazrat

Fatima Zahra(R.A) are my inspiration and blessings of teaching in university.As a human being,I am a

Huzur,ie,Muslim Preacher and Hafeez of Holy Quran Mazid .I really feel proud that already I have

assessed/evaluated as a Professor [ Latin meaning “ Teacher “ ] of Geometry of Euclidean Spaces

which is the essential branch of Pure Mathematics .Also,I am a considerably successful Electrical

Engineering Graduate [ Graduated at February , 2012 ].As a Professional university teacher, certainly,

initially,this achieved success is remarkable .

The life of my Beloved Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) ,the preacher of Immense

Islam religion was enriched with majestic teachings .I have followed the teaching methods of my Beloved

Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) and have implemented these teaching methods in

my university teachings of Mathematics and Electrical & Electronics Engineering.As a Mumeen Muslim

teacher of University,I have profound faith(iman) and respect for my Beloved Holy Prophet Rasul-Allah

Hazrat Muhammed(P.B.U.H) so that I could perfectly accomplish my teaching responsibilities and could

provide best teachings to my students of university if I could always sustain and follow the teachings of

my Beloved Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) in existing modern Science and

Engineering education of university.It is my profound faith(iman) on omniscient Allah and my Beloved

Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) that Holy Quran Mazid is the best book ( Best

Asmani Kitab) for a Mumeen Muslim University teacher for exact teaching of modern Science and

Engineering in the university in the light of the teachings of immense Islam religion.

I essentially would like to study M. Sc on Geometry, Mathematics and then Ph. D on Geometry,

Mathematics.I would like to inaugurate a recent essential Engineering department providing

UnderGraduate Degree on result as CGPA ( Cumulative Grade Point Average ) basis entitled as “

Department of Geometry , Engineering Mathematics , Geometrical Design and Measurements “ to enrich

Mathematics Education , increasingly required in next 20 years having massive prospects from

Engineering viewpoints .

I believe that virtuous are happy . Consequently , I have revealed profound gratitude to omniscient

Allah for being a Mumeen Muslim teacher of university and my Beloved Holy Prophet Rasul-Allah Hazrat

Muhammed(P.B.U.H) is my pride. My Beloved Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) is

my love on the Earth and in the Heaven forever. Nobody and Nothing else is greater and more beautiful

than my Beloved Holy Prophet Rasul-Allah Hazrat Muhammed(P.B.U.H) forever.

Allahu Akbar.


[ 27 ] Engineering Geometrical Design and Measurements :

I have substantially , original contributions in these teaching / university teaching activities regarding

Geometry of Euclidean Spaces .However, I would also teach in non-original researches As an original

Researcher of Geometry of Euclidean Spaces , I could readily accomplish Engineering Geometrical

Design , Measurements and calculations to the following branches of Engineering :

( i) Civil Engineering Calculations :

Structures design , Strength of Materials , Bridge design ,Dame design , constructions works , beam ,

column and slab stress-strain calculations etc .

( ii ) Mechanical Engineering Calculations :

Mechanical Machine design , Electro-Mechanics , Robotics , Mechatronics , Boiler , Compressor , Turbine

design , Auto-mobiles , Aeroplane , Ship design , Car chesis body design etc .

( iii ) Industrial and Production Engineering Calculations :

Mills , Factories , Industries design .

( iv ) Water Resource Engineering :

Water management , Dame , Bridge design .

( v ) Metallurgy :

All types of material tools design .

( vi ) Naval Architecture and Marine Engineering Calculations :

Ship , Water vehicles design , Millitary , Artilary tools , weapons design .

( vii ) Electrical Engineering Calculations :

Electrical Generators , Motors , Transformers design , Power Engineering Transmission and Distribution

Circuit Design and Magnetic Circuit Design .

( viii ) Mathematical Physics / Mechanics Calculations :

Statics , Dynamics , Solid Geometry , Hydro-Dynamics , Hydrostatics , Fluid Dynamics .

(ix ) Implementation of Geometry of Euclidean Spaces :

Aerospace , Astronomy , Meteorology ,Aerodynamics , Aeronautical Engineering , Atmosphere analysis .

( x ) Softwares :

All softwares of Engineering and Scientific design and calculations including MATLAB and AUTOCAD .


[ 28 ] LIST OF INVENTED ORIGINAL THEORIES FROM AUGUST , 2001 TO APRIL , 2015 :

Here , in this section , I have highlighted , briefly , entire invented , original , recent , theories of Geometry of Euclidean Spaces . These are showed as followed :

1. Central 60 Degree Angle Theorem ; Religiously “ The Theorem of Holy Baitullah “ ; Briefly as “ CAT60D” .

2.Corollary of Inscribed Angle

3.Corollary of Arc

4.Corollary of Chord

5.Corollary of Equilateral Triangle

6.Reference Circle

7.Chord Derivation

8.Diameter Bisection Method for Center Determination

9.Tangent Method for Center Determination

10.Hypotenuse Method for Center Determination

11.Two Perpendiculars Method for Center Determination

12.Two Parallel Equal Chord for Center Determination

13.30 Degree Method for Center Determination implementing Central 60 Degree Angle Theorem ; Type-I

14.Arc Bisection Method for Center Determination implementing Central 60 Degree Angle Theorem

15.Hypotenuse Method for Center Determination implementing Central 60 Degree Angle Theorem

16.30 Degree Method for Center Determination implementing Central 60 Degree Angle Theorem ; Type-II

17.Hexagonal Method

18.Golden Ratio

19.Fraction Angles Constructions

20.Angle Pair

21.Diameter Method Configuration Theories of Central 60 Degree Angle Theorem


22.General Method Configuration Theories of Central 60 Degree Angle Theorem

23.Inscribed Triangles Properties Verification Theories Implementing Central 60 Degree Angle Theorem

24.Theories of Pythagoras Theorem instance of Right Triangle Inscribed in Circle

25.Theories of Implementation of Complementary Ratios of Trigonometrical Functions Regarding Pythagoras Theorem

26.Angle Sum Theorem

27.Graphical Representations Implementing Chord Derivation

28.Geometrical Ratios and Proportions of Central 60 Degree Angle Theorem

29.Center Identifying Constructions Methods

30.Axioms/Postulates Based Construction Theories for Verification

31.Circle Construction Implementing axioms , theories and definitions .

32.Deduce Underlying Relationship within Pythagoras Theorem , Right Triangle and Trigonometry .

33.Derivation of Parallelogram Law Through Vector Analysis

34.Derivation of Parallelogram Law Through Trigonometry

35.Modification of Parallelogram Law

36.Commencements , Misapprehensions , Limitations and Corrections of Rutherford’s Atom Model

37.Properties of 15 Degree Tetragonal

38. Theories of Pythagoras Theorem implementing ratios of complementary angles .


[ 29 ] References :

Remarks :

(i) Entirely self-taught and self-knowledge .

(ii) Entirely self-motivated .

(iii) Totally self-funded during theoretical research period from August ,2001 to recent , June,2015 .

(iv) Each and every features , titles , paragraphs , elaborations , notes etc have been represented in

this version of original Research Curriculum Vitae , absolutely , entirely , individual , original

inventions and original recent contributions .Even every letters have been showed in this Curriculum

Vitae .

(v) Overall, entirely single , individual original , absolutely , approaches and self guided . Certainly ,

individually responsible and concerned person regarding this Original Research Curriculum Vitae .

(vi) Must have to directly , explicitly , evidently and plainly contact with me to my following contact

informations :

Contact :

Engineer Ahmed Rafique Aziz [ Engineer Aziz ]

B.Sc Engineer ,Electrical & Electronics Engineering

Graduation : Khulna University of Engineering & Technology (KUET) , Khulna-9203 ,

Bangladesh ( 2012 ) .

Telephone : +88-01721-153960

FaceBook Link : https : // www.facebook.com/ahmedrafique.aziz

FaceBook E-mail : [email protected]

E-mail Address : [email protected] ; [email protected]

Twitter : @azizahmedrafiq1


LinkedIn : https://lnkd.in/e5DGXY2

Title [ Predicted ] : The King / The Emperor of The Kingdom / The Empire of

Geometry , the Science of Measurements .

https://www.facebook.com/ahmedrafique.aziz


https://lnkd.in/e5DGXY2


[ 30 ] Certification :

I ( Researcher Engineer Ahmed Rafique Aziz ) , hereby , declare that the informations provided in

this Curriculum Vitae (C.V) are true , complete and correct to the best of my knowledge and belief . I

state that any Willful misstatement described herein may lead to my disqualification or, dismissal , in

case of employment .

Signature of Researcher Professor Engineer Ahmed Rafique Aziz

Curriculum Vitae of Engineer Ahmed R. Aziz_2016

Documents

Transcript of Curriculum Vitae of Engineer Ahmed R. Aziz_2016