A proof for Theodorus' theorem by drawing diagrams |
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Authors: | ProfDr Benno Artmann |
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Institution: | (1) Arbeitsgruppe Fachdidaktik Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstr. 7, 64289 Darmstadt |
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Abstract: | Summary In Plato's dialogue Theaetetus, the mathematician Theodorus (ca. 470-400 BC) is said to have proved the irrationality of 3, 5, ..., 17 by drawing diagrams . In this paper such a proof is presented and compared with another, more arithmetical, reconstructed proof by W. Knorr. Moreover a hypothetical early theory of similar rectangles is extracted from Euclid's Elements, which could have served as a basis for the geometrical proof of Theodorus' theorem.Herrn N. Stephanidis in Freundschaft gewidmet |
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