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Archimedes

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Archimedes of Syracuse was a monumental figure in classical antiquity.

Gerhard Thieme Archimedes
Gerhard Thieme Archimedes

He was an Ancient Greek mathematician, physicist, engineer, astronomer, and inventor. While many details of his life remain obscure, his surviving works establish him as one of the greatest mathematicians of all time. He did not just solve equations; he anticipated the foundations of modern calculus and analysis. He achieved this by applying the concept of infinitesimals and the method of exhaustion. These methods allowed him to derive rigorous proofs for many complex geometrical theorems.

PiArchimede4
PiArchimede4

His mathematical investigations covered a vast range of geometric shapes and properties. Archimedes successfully derived the area of a circle and the area of an ellipse. He also calculated the surface area and volume of a sphere.

Esfera Arquímedes
Esfera Arquímedes

Beyond simple shapes, he found the area under a parabola. He even determined the volume of segments of a paraboloid and a hyperboloid of revolution. He studied the area of a spiral and defined the Archimedean spiral. To handle massive scales, he devised a system using exponentiation to express very large numbers. He also provided a significant approximation of pi.

Archimedes was a pioneer in applying mathematical theory to physical phenomena. He worked extensively in the fields of statics and hydrostatics. In statics, he provided a formal proof for the law of the lever. He also promoted the widespread use of the concept of the center of gravity. In hydrostatics, he formulated the law of buoyancy, now known as Archimedes' principle.

Displacement-measurement
Displacement-measurement

This principle states that a body immersed in a fluid experiences a buoyant force equal to the weight of the fluid it displaces. One famous account suggests he discovered this while stepping into a bath. He noticed that the water level rose as he sank. This observation helped him solve the "wreath problem" for King Hiero II. He used water displacement to prove if a golden wreath contained cheaper silver.

As an engineer, Archimedes designed machines to solve practical problems. He is credited with launching the Syracusia, which was perhaps the largest ship of classical antiquity.

Archimedes – Opere, 1615 – BEIC 9741168
Archimedes – Opere, 1615 – BEIC 9741168

Some accounts claim he moved the ship using a block-and-tackle pulley system. Others suggest he used a windlass called a baroulkos. He also worked with compound pulleys and the principle of mechanical advantage. He famously claimed he could move the Earth if provided a place to stand. While the Archimedes screw is often linked to him, many historians believe it predates his time. However, his defensive war machines were legendary during the Siege of Syracuse in 214 BC.

During the Roman siege, Archimedes used innovative technology to defend his city. He oversaw the use of improved catapults and large cranes. These cranes used iron claws to lift Roman ships out of the water and drop them back in.

Archimedes Heat Ray conceptual diagram
Archimedes Heat Ray conceptual diagram

Some historical accounts, such as those by Lucian and Galen, suggest he used burning mirrors to focus sunlight. This hypothetical "heat ray" used a parabolic reflector to set ships on fire. While modern researchers have attempted to recreate this effect, its historical accuracy remains a subject of debate. Regardless, his engineering prowess greatly delayed the Roman advance.

Archimedes' life ended during the fall of Syracuse.

Death of Archimedes (1815) by Thomas Degeorge
Death of Archimedes (1815) by Thomas Degeorge

According to the historian Livy, a Roman soldier killed him while he was drawing geometric figures in the dust. The soldier reportedly did not realize he was killing a famous scholar. Other accounts from Plutarch suggest Archimedes refused to stop his work to accompany the soldier. This moment marked the end of a life that had shaped human thought. His tomb in Syracuse was eventually marked by a sphere and a cylinder. These shapes represented his most valued mathematical discoveries.

Although his mathematical writings were not widely known in antiquity, they survived through careful preservation. Alexandrian mathematicians quoted him, and later, Isidore of Miletus created a comprehensive compilation in Byzantine Constantinople. In the 9th century, his works were translated into Arabic. They were later translated into Latin during the 12th century. These translations provided essential ideas for the Renaissance and the Scientific Revolution.

Archimedes Palimpsest
Archimedes Palimpsest

In 1906, the discovery of the Archimedes Palimpsest offered new insights into his mathematical methods. His legacy continues to influence how we understand the intersection of math and the physical world.

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🖼️ Images & Media (13)
File:Cicero Discovering the Tomb of Archimedes by Benjamin West.jpeg
Cicero Discovering the Tomb of Archimedes...
File:Displacement-measurement.svg
Displacement-measurement.svg
File:Archimedes Heat Ray conceptual diagram.svg
Archimedes Heat Ray conceptual diagram.svg
File:Death of Archimedes (1815) by Thomas Degeorge.png
Death of Archimedes (1815) by Thomas Degeorge.png
File:PiArchimede4.svg
PiArchimede4.svg
File:Parabolic segment and inscribed triangle.svg
Parabolic segment and inscribed triangle.svg
File:Archimedes – Opere, 1615 – BEIC 9741168.jpg
Archimedes – Opere, 1615 – BEIC 9741168.jpg
File:Esfera Arquímedes.svg
Esfera Arquímedes.svg
File:Stomachion.JPG
Stomachion.JPG
File:Archimedes Palimpsest.jpg
Archimedes Palimpsest.jpg
File:Gerhard Thieme Archimedes.jpg
Gerhard Thieme Archimedes.jpg
File:Archimedes bronze coin.jpg
Archimedes bronze coin.jpg

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