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Some Applications of Conics and Collineations in History

In: Collineations and Conic Sections

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  • Christopher Baltus

    (State University of New York at Oswego, Department of Mathematics)

Abstract

Archimedes (287–212 BC) is the most Archimedes accomplished and best-known mathematician and scientist of the ancient world. He seems to have been the first to develop and apply mathematical formulations to physical phenomena, including the most basic principle of engineering: to balance weights W 1 and W 2 on a weightless lever when they are on opposite sides of the fulcrum, their distances from the fulcrum d 1 and d 2 must satisfy W 1d 1 = W 2d 2. His mathematical achievements include the discovery and proof of the volume formula for a sphere, and a method that can approximate π, the ratio of circumference to diameter of a circle, to any desired accuracy.

Suggested Citation

  • Christopher Baltus, 2020. "Some Applications of Conics and Collineations in History," Springer Books, in: Collineations and Conic Sections, chapter 0, pages 167-174, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-46287-1_14
    DOI: 10.1007/978-3-030-46287-1_14
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