Archimedes

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Transcript of Archimedes

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Life of Archimedes•   Archimedes was an Ancient Greek

Mathematician ,Physicist and astronomer.• Archimedes was born in the city of Syracuse

on the island of Sicily in 287 BC.• he is considered as one of the most eminent

scientists and mathematicians of the classical era.

• He established strong foundations in the field of mathematics, physics, particularly in statics

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Sources reveal that he started his studies in the school that was established by the Greek mathematician Euclid in Alexandria, Egypt.

After pursuing his studies, he went back to Syracuse to live in his native city.

he made many incredible inventions such as designing innovative machines, including screw pumps, compound pulleys and siege machines.

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Work and contribution Archimedes' principle indicates that the upward buoyant force that is exerted on a

body immersed in a fluid, whether fully or partially submerged. is equal to the weight of the fluid that the body displaces and it acts in the upward

direction at the center of mass of the displaced fluid.

King Hiero II gave Archimedes the task of designing a ship, “Syracusia” that could carry large number of people, supplies and could be used as a naval warship.

Syracusia was large enough to be able to carry 600 people. It had a gymnasium and possessed a garden.

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Contributions to Mathematics he approximated the value of π. By this method areas and volumes of figures with

curved lines and surfaces, such as pyramids, cones, circles and spheres could be determined.

This helped the mathematicians to form integral calculus that forms an important part of current mathematics.

He also proved that the area of a circle was equal to π multiplied by the square of the radius of the circle (πr2).

He is said to have anticipated modern calculus and analysis and derived a range of geometrical theorems, including the area of a circle, the surface area and volume of a sphere, and the area under a parabola

In Measurement of a Circle, he derived the value of the square root of 3 as lying between 1.7320261 and 1.7320512. The actual value is approximately 1.7320508, which is a very accurate estimate.

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Death For two years the genius of Archimedes repelled the Romans,

enabling the city to survive the lengthy siege  Apparently, the great mathematician was unaware that his

enemy had stormed the city. The enraged soldier flew upon Archimedes, striking the 75 year-

old being dead. Marcellus was greatly distressed upon hearing the news of Archimedes' death

Archimedes buried with honors. Archimedes tombstone was, as he had wished, engraved with an image of a sphere within a cylinder, after one of his geometrical treatises.