| Thomas Christensen - 2004 - 327 pagine
...corps sonore that the Egyptian priests first discovered the Pythagorean theorem, to wit, the square of **the hypotenuse of a right-angled triangle is equal to the sum of** the squares of its two sides.10 How could this be? Rameau thought that in perceiving the arithmetic... | |
| ...whose entries form a magic square. I 7. Pythagoras' theorem states that the area of the square drawn on **the hypotenuse of a right-angled triangle is equal to the sum of** the areas of the squares drawn on the other two sides of the triangle. Investigate other similar shapes... | |
| John Ewing - 1996 - 335 pagine
...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.... | |
| David Fideler - 1993 - 429 pagine
...achievements, one of the most profound and far-reachinghas at its origin the discovery by Pythagoras that **the hypotenuse of a right-angled triangle is equal to the sum of** the squares of the two sides containing the right angle. Two conditions were involved in Pythagoras'... | |
| Plinio Prioreschi - 1996 - 695 pagine
...himself discovered what we call the Pythagorean Theorem. In Proclus's In Euclidem, we find: The square on **the hypotenuse of a right-angled triangle is equal to the sum of** the squares on the sides enclosing the right angle. If we pay any attention to those who like to recount... | |
| Mary Biggs - 1996 - 501 pagine
...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? JESSIE B.... | |
| David R. Olson, Nancy Torrance - 1996 - 305 pagine
...strongest. Surely no one is going to deny that 2 + 2 is 4 in both China and Greece. Surely the square on **the hypotenuse of a right-angled triangle is equal to the sum of** the squares on the other two sides, whether we call this Pythagoras' theorem, or Gou Gu. Indeed, indeed.... | |
| Michael F.N. Dixon - 1996 - 245 pagine
...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 closed system... | |
| Derek Edwards - 1997 - 356 pagine
...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 being taught,... | |
| Clifton Fadiman - 1997 - 298 pagine
...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 of his blackened... | |
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