 | Justus Freiherr von Liebig - 1851 - 576 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, else why did the discoverer sacrifice... | |
 | j. stevenson bushnan, m.d. - 1851 - 206 pages
...greater than its part; of the latter description we have an example in the proposition that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, and in all other mathematical truths that are not at once apparent. And,... | |
 | Homersham Cox - Calculus, Integral - 1852 - 156 pages
...from the following passage in Dr. Button.s Mathematical Dictionary. In reference to the theorem that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides, it is remarked, that " Plutarch even doubts whether such a sacrifice was... | |
 | Charles Davies - Arithmetic - 1852 - 438 pages
...worthy of particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...right-angled triangle, right-angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. FGI H D Haying described a square on each of the three sides, let fall from A, on the hypothenuse,... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...sides the base and perpendicular. 293. The square described on the hypothenuse, or longest side, is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft., and the perpendicular 8 ft. 10a=100. 6a=36.... | |
 | Dugald Stewart - Human information processing - 1854 - 514 pages
...implies case and iustantaneousness of operation. Take the geometrical theorem, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides ; it is proved by a series of propositions, the connection of each... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...triangle, right•angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. 1 GEOMETRY. Having described a square on each of the three sides, let fall from A, on the hy•... | |
 | John Cumming - Bible - 1854 - 496 pages
...; any two sides of a triangle are together greater than the third side, is a truth ; the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is a truth ; but you may be successful in the world, and enter... | |
 | Asa Mahan - Spiritualism - 1855 - 496 pages
...has here. Swedenborgianism, then, is as demonstrably false, as the proposition that the square •of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two sides, is demonstrably true, and we are no more liable to err, in affirming... | |
| |
The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
