| 1816
...of their destiny in 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 - Plane trigonometry - 1814 - 346 pages
...legs ; the 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.... | |
| Agriculture - 1816
...accomplished is a 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... | |
| Science - 1816
...accomplished is a 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... | |
| Washington Irving - 1816
...of their destiny in 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... | |
| Adrien Marie Legendre - 1825 - 224 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 - Geometry - 1825 - 224 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... | |
| 1827 - 560 pages
...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... | |
| Agriculture - 1828
...feet, and the space travelled over two, then, by the forty-seventh proposition first book of Euclid, **the square of the hypothenuse of a right-angled triangle is equal to** the squares of both the other sides : Hence 10 X 10 = 100, and and 2 x 2=4 4- 100= A/I 04= 10 feet^y;... | |
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