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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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 98
by Euclides - 1874
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Toward a New Sociology of Education

John Beck - Education - 1978 - 569 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...
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The Presocratic Philosophers: A Critical History with a Selection of Texts

G. S. Kirk, Regius Professor of Greek G S Kirk, F.B.A., 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:...
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Geometry and the Visual Arts

Daniel Pedoe - Mathematics - 1983 - 340 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,...
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Gewirth's Ethical Rationalism: Critical Essays with a Reply by Alan Gewirth

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....
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The Philosophical Writings of Descartes: Volume 2

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...
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The Dialectical Necessity of Morality: An Analysis and Defense of Alan ...

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....
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On Schopenhauer's Fourfold Root of the Principle of Sufficient Reason

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...
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A Century of Mathematics: Through the Eyes of the Monthly

John Ewing - History - 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....
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The Plays of Benn Levy: Between Shaw and Coward

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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The Kingdom of Childhood: Seven Lectures and Answers to Questions Given in ...

Rudolf Steiner - Education - 1995 - 180 pages
...geometry lessons to reach their climax, their summit, in the Theorem of Pythagoras, which states that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. It is a marvelous thing if you see it in the right light....
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