 | William Brown - Personality - 1927 - 388 pages
...geometrical truth, and on the other, the geometrical truth that one has thought. For example, the truth that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides, — this truth itself has no physical reality. Unlike... | |
 | John Beck - Education - 1978 - 582 pages
...importance of what it is we are trying to do. 'This morning,' I said to them, 'we are going to prove that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.' 'Is that a likely thing to happen?' Mason asked. I... | |
 | G. S. Kirk, J. E. Raven, M. Schofield - Philosophy - 1983 - 520 pages
...Apollodorus the calculator says that he [se. Pythagoras] sacrificed a hundred oxen when he discovered that the square on the hypotenuse of a right-angled triangle is equal to the squares on the sides containing the right angle. And there is an epigram which runs as follows:... | |
 | Daniel Pedoe - Mathematics - 1983 - 338 pages
...go round two sides of the fence to reach the hay. On the other hand, the Theorem of Pythagoras, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides, was not suspected by humans for thousands of years,... | |
 | Edward Regis - Philosophy - 1984 - 284 pages
...or surveyors. Anything that purports to overturn or impugn our recognition that 7 x 7 = 49 or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the adjacent sides would merely discredit itself by reductio ad absurdum.... | |
 | René Descartes - Philosophy - 1984 - 444 pages
...geometrical proofs. And how often do you find a believer who, if he is asked why he is certain that the square on the hypotenuse of a right-angled triangle is equal to the squares on the other sides, will answer: 'Because I know that God exists and cannot deceive, and... | |
 | Deryck Beyleveld - Philosophy - 1991 - 562 pages
...consider that anything that purports to overturn or impugn our recognition that 7 x 7 = 49 or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the adjacent sides would merely discredit itself by reductio ad absurdum.... | |
 | F. C. White - Philosophy - 1992 - 208 pages
...rejects. To illustrate this point with a representative example, Euclid holds with Pythagoras that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides: s 2 = a 2 + b 2 . Schopenhauer holds this too. But in... | |
 | John Ewing - Mathematics - 1994 - 348 pages
...of them, and nothing else." To quote an example which the author himself gives, the proposition that "the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides" is a categorical proposition, and is not therefore mathematical.... | |
 | Susan Rusinko - Drama - 1994 - 236 pages
...evening, bent over those exercises of yours, wondering why Debusson Major could never realize that the square on the hypotenuse of a rightangled triangle is equal to the sum of the squares on the other two sides, at the back of my mind it made me feel . . . somehow... | |
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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
