Theme 2 joining and technical curves

TECHNICAL DRAWING I

DU 2: JOINING AND TECHNICAL CURVES

THEME 2: JOINING AND TECHNICAL CURVESObjectives and evaluation criteria:

Helburua Minimoa 2. maila 3. maila

H1: Zirkunferentzia eta zuzenen arteko ukitzaile eta lotura desberdinen bidez bi dimensiotan adierazitako piezak eraikitzea, txukun eta garbi marraztuz eta lerro printzipalak eta laguntzaileak bereiztuz..

Zirkunferentzia eta zuzenen arteko ukitzaile edo loturen bidez eraikuntzak egitea.

Zirkunferentzia eta zuzenen arteko ukitzaile edo loturen bidez pieza osoak marraztea.

Eraikuntzak zehaztasunez egitea.

H2:Kurba koniko (elipse, parabola eta hiperbola) eta teknikoen (obaloa eta oboidea) marrazkiak deduzitzea, zehaztasunez marraztuz, txukun eta garbi marraztuz eta lerro printzipalak eta laguntzaileak bereiztuz.

Kurba tekniko desberdinak marraztea.

Kurba koniko desberdinak marraztea.

Kurbak zehaztasunez marraztea.

THEME 2: JOINING AND TECHNICAL CURVESJoining: 1

THEME 2: JOINING AND TECHNICAL CURVESJoining 2:

THEME 2: JOINING AND TECHNICAL CURVES1.Tangent lines to circles:

1.1.Tangent to a circle at a point T. only one solution

THEME 2: JOINING AND TECHNICAL CURVES

1.2. Parallel lines to a given direction “d”, that are tangents lines to a circle. Two solutions.

1.Tangent lines to circles:


1.3. Tangents lines to a circle that pass through an external point P. Two solutions.



1.4. Tangent lines to two circles at a time. Four solutions.


THEME 2: JOINING AND TECHNICAL CURVES2. Circles tangent to a circle or a line:

2.1. Circles tangent to a line on the point T, knowing the radius of the circle. Two solutions.


2.2. Tangent circles to another circle on the point T, knowing the radius of the circle. Two solutions.

2. Circles tangent to a circle or a line:


2.3. Tangent circle to a line on the point T, that passes through an external point Q. Only one solution.



2.4. Tangent circle to another circle in the point T, that passes through an external point Q. Only one solution.



2.5. Tangent circles to a line, passing through an external point P, knowing the radius of the solution circles. Two solutions.



2.6. Tangent circles to another circle, passing through an external point P, knowing the radius of the solution circles. Four solutions.


THEME 2: JOINING AND TECHNICAL CURVES3. Circles tangent to a circle and to a line at a time:

3.1. Tangent circles to another circle and to a line, knowing the tangent point T in the circle. Two solutions.


3.2. Tangent circles to another circle and to a line, knowing the tangent point T in the line. Two solutions.

3. Circles tangent to a circle and to a line at a time:


3.3. Tangent circles to another circle and to a line, knowing the radius of the solution circle. Maximum eight solutions.

3. Circles tangent to a circle and to a line at a time:

THEME 2: JOINING AND TECHNICAL CURVES4. Circles tangent to two circles or two lines:

4.1. Tangent circles to two lines, knowing the tangent point T in one of the lines. Two solutions.


4.2. Tangent circles to two lines, knowing the radius of the solution circle. Four solutions.

4. Circles tangent to two circles or two lines:


4.3. Tangent circles to other two circles, knowing the radius of the solution circle. Eight possible solutions.

4. Circles tangent to two circles or two lines:

THEME 2: JOINING AND TECHNICAL CURVESExercises:

THEME 2: JOINING AND TECHNICAL CURVESTechnical curves 1: OVAL

OVAL:

It’s a closed curve, where all the points are symmetric about the two perpendicular axes and made by circumference arcs.


1.1. Knowing the main axis.


1.2. Knowing the small axis.


1.3. Knowing the two axes.

THEME 2: JOINING AND TECHNICAL CURVESTechnical curves 2: OVOID.

OVOID:It’s a closed curve, where all the points are symmetric about one axis and made by circumference arcs.

2.1. Knowing the main axis.


2.2. Knowing the small axis.

Technical curves 2: OVOID.

THEME 2: JOINING AND TECHNICAL CURVESTechnical curves 3: Arquimedean SPIRAL.

THEME 2: JOINING AND TECHNICAL CURVESTechnical curves 4: VOLUTE.

THEME 2: JOINING AND TECHNICAL CURVESCONIC CURVES.

THEME 2: JOINING AND TECHNICAL CURVESConic curves 1: ELLIPSE


1.1. Knowing the two axes; first method.


1.1. Knowing the two axes; second method.

THEME 2: JOINING AND TECHNICAL CURVESConic curves 2: PARABOLA

THEME 2: JOINING AND TECHNICAL CURVESConic curves 2: PARABOLA

2.1. Knowing the axis, the vertex and the guideline.

THEME 2: JOINING AND TECHNICAL CURVESConic curves 3: HYPERBOLA

THEME 2: JOINING AND TECHNICAL CURVESConic curves 3: HYPERBOLA

3.1. Knowing the two axes.

Theme 2 joining and technical curves

Education

Transcript of Theme 2 joining and technical curves