 | John Dougall - 1810 - 554 pages
...that the square ACDE, is equ; 1 to the sum or the two squares AFGB and BHIC : 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... | |
 | 1816 - 600 pages
...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... | |
 | John Gummere - Surveying - 1814 - 398 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,... | |
 | 1816 - 644 pages
...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... | |
 | Thomas Thomson - Agriculture - 1816 - 518 pages
...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... | |
 | Thomas Thomson - Agriculture - 1816 - 514 pages
...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... | |
 | Agriculture - 1828 - 524 pages
...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;... | |
 | Gardening - 1828 - 522 pages
...feet, and the space travelled over two, then, by the forty-seventh proposition first hook of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 1O x 10 = lOo, and and 2 x 2 = 4+ 100=^/104=10 feet -J&;... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...himself up to the study of geometry with wonderful ardour and success. It was he who discovered that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. To express his joy and gratitude for this great discovery,... | |
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The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
