 | John Dougall - 1810 - 734 pages
...ACDE, is eqii: 1 to the sum of the two squares AFGB and EH 1C : or, in other words, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides containing the right angle. To illustrate this proposition by arithmetic,... | |
 | 1816 - 600 pages
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would... | |
 | John Gummere - Surveying - 1814 - 398 pages
...square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules, is evident.... | |
 | 1816 - 644 pages
...that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body else, would... | |
 | Thomas Thomson - Agriculture - 1816 - 514 pages
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper length... | |
 | Thomas Thomson - Agriculture - 1816 - 518 pages
...manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a proper length... | |
 | Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...also equal (18). 118. THEOREM. In any right angled triangle, the square described on the hypotenuse is equal to the sum of the squares described on the two other sides. Draw AB parallel to CD, the side of the square on the hypotenuse, then the parallelogram CB is double... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...algebraic formula (a + 6)x(a— 6) = (a3— 63) (Alg. 34). THEOREM. 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. . 109. Demonstration. Let ABC (fig. 109) be a triangle... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...algebraic formula (a + 6) X (a — &)= (ať— b') (Alg. 34). THEOREM. f / 186. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the two other sides. 109. Demonstration. Let ABC (fig. 109) be a triangle... | |
 | Thomas Morell - Philosophy - 1827 - 614 pages
...discoveries. His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an ecstacy of... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
