 | James McCosh - History - 1860 - 512 pages
...Julius Caesar lived, or that Jesus Christ died and rose again, or those by which we come to be assured that the square of the hypothenuse of a right-angled triangle is equal to the square of the other two sides. But in all such regressions we must at last come back to something... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...16. 43681. 47089. 22. 23. 3.172181. 10342656. 29. 30. 207*?. 34967 A371 578. The square described on the hypothenu.se of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The Irii/h... | |
 | Benjamin John Wallace, Albert Barnes - Presbyterian Church - 1860 - 720 pages
...reputed to have been the author of the multiplication table, and to have discovered that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Numbers led him over into astro* Butler. nomy. And here, it would... | |
 | Isaac Todhunter - 1860 - 318 pages
...preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described upon any... | |
 | Joseph J. Reed - History, Ancient - 1862 - 196 pages
...philosophers of antiquity. He discovered that every triangle inscribed in a semicircle is right-angled, and that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares Of the other two sides. He travelled in Asia and Egypt, whence it is supposed he derived... | |
 | Andrew Jackson Moulder - Educational psychology - 1862 - 32 pages
...result of any compelling sequence of reasons, such as that by which we are forced to the conviction that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. In the former case, Jupiter is declared to be the King of the Gods... | |
 | John Cumming - Salvation - 1863 - 266 pages
...believe, what can be demonstrated, that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides. But this belief has no effect or plastic influence, it does not descend... | |
 | William Thomson - Logic - 1863 - 404 pages
...had been seen in 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, or why did the discoverer sacrifice... | |
 | William Thomson - Logic - 1863 - 354 pages
...had been seen in 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, or why did the discoverer sacrifice... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...upon the line А С is equal to the two squares upon А В and В С ; and generally, The square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Hence, EULE I. To find the hypothenuse, the base and perpendicular... | |
| |
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, or why did the discoverer sacrifice a hecatomb when he made out its proof ? 
