## "Leonardo's" Proof of the Pythagorean TheoremDecember 2, 2013 Pythagoras (Πυθαγορας), more properly called Pythagoras of Samos, lived in the estimated period from 570 BC - 495 BC. Not much is known about Pythagoras, since he flourished in the dim times of Pre-Socratic philosophy. He was a philosopher and the founder of a religious movement, but he is best known as a mathematician and supposed author of the Pythagorean theorem.
## References:- Eugene P. Wigner, "The unreasonable effectiveness of mathematics in the natural sciences," Communications on Pure and Applied Mathematics, vol. 13, no. 1 (February 1960), doi:10.1002/cpa.3160130102, pp. 1-14. PDF file available, here.
- R. W. Hamming, "The Unreasonable Effectiveness of Mathematics," The American Mathematical Monthly, vol. 87, no. 2 (February, 1980), via the Center for Cancer Research Nanobiology Program.
- John D. Page, "Pythagoras," Math Open Reference Web Site.
- Elisha Scott Loomis, "The Pythagorean proposition: its demonstrations analyzed and classified, and bibliography of sources for data of the four kinds of proofs," Education Resources Information Center. Institute of Education Sciences (IES) of the U.S. Department of Education (1940); reprinted in 1968 by National Council of Teachers of Mathematics (310 page PDF File).
- Stephen Szydlik, "Proving the Pythagorean Theorem, Pythagoras Proof #5," University of Wisconsin Oshkosh Web Site (7 page PDF File).
- Franz Lemmermeyer, "On Leonardo da Vinci's proof of the Theorem of Pythagoras," arXiv Preprint Server, November 4, 2013.
Linked Keywords: Pythagoras; Samos; Anno Domini; BC; Pre-Socratic philosophy; philosopher; religious movement; mathematician; Pythagorean theorem; The Unreasonable Effectiveness of Mathematics in the Natural Sciences; number; De rerum natura; nature of things; Wikimedia Commons; Ancient Greece; early Greeks; Venus; planet; Phosphorus; Hesperus; Pre-Socratic philosopher; Thales; gods; scientific explanation; natural phenomenon; geometer; deductive reasoning; deduction; geometry; Thales' theorem; inscribed angle; semicircle; right angle; compass-and-straightedge construction; geometrical construction; 12th century; Bhaskara (1114-1185); area; square; triangle; Inkscape; intellectual; James Garfield (1831-1881); President of the United States; United States House of Representatives; trapezoid; triangle; high school; Renaissance; artist; Leonardo da Vinci (1452-1519); science and inventions of Leonardo da Vinci; drawing; collegiality; colleague; perspective; Vitruvian Man; Franciscan monk; Luca Pacioli; De divina proportione; mathematical proportion; rhombicuboctahedron; Archimedean solid; Woodcut; Venice; bibliographic; scholarly method; scholarship; Franz Lemmermeyer; St. Gertrudis school; Ellwangen; German; physicist; Johannes Tobias Mayer (1752-1830; Georg-August University of Göttingen. |
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