 | Michael F. N. Dixon - Language Arts & Disciplines - 1996 - 260 pages
...false within fixed procedures that deliver a conclusion whose certainty is that of a priori definition. "The square on the hypotenuse of a right-angled triangle is equal to the sum of squares on the other two sides" states a Pythagorean axiom of given truthvalue within the... | |
 | Mary Biggs - History - 1996 - 544 pages
...painfully drummed into my head which seems to have inhabited some corner of my brain since that early time: "The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides!" There it sticks, but what of it, ye gods, what of it?... | |
 | Clifton Fadiman - Mathematics - 1997 - 326 pages
...saw was 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. Kneeling on the floor, he was drawing with the point... | |
 | 298 pages
...and astronomers (notably Copernicus and Kepler). Schoolchildren are taught the Pythagorean theorem, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Fewer students may remember that Pythagoras symbolized... | |
 | Derek Edwards - Psychology - 1997 - 370 pages
...here, is provided as Chapter 3 of Billig et al. (1988). 6. Pythagoras's theorem is the one that 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 - but then you knew that already, of course, without... | |
 | Rudolf Steiner - Education - 1998 - 404 pages
...your 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.... | |
 | Rene Descartes - Philosophy - 1999 - 260 pages
...discovered, however, the latter are considered no less certain than the former. For example, even if the fact that the square on the hypotenuse of a right-angled triangle is equal to the squares on the other two sides is not as apparent as the fact that the hypotenuse subtends the... | |
 | Hugo Anthony Meynell - Philosophy - 1998 - 346 pages
...mathematics. In the case of geometry or arithmetic, once it is grasped, say, that two times three is six, or that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides, appeal to the sensible diagram or collection... | |
 | Laurence Goldstein - Philosophy - 1999 - 260 pages
...what words like 'square', 'hypotenuse', 'right angle', 'triangle' and 'sum' mean, then the proposition "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 description of a property of a right-angled triangle.... | |
 | G. A. Cohen - Philosophy - 2009 - 251 pages
...you might bear in mind whatever you may remember of the proof of the Pythagorean theorem, which says that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides. I ask you to bear the theorem in mind, because,... | |
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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. 
