 | Dugald Stewart - Psychology - 1859 - 508 pages
...intuition, which implies ease and instantaneousness 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... | |
 | John Daniel Runkle - Mathematics - 1859 - 460 pages
...n is infinitely great DEMONSTRATION OF THE PYTHAGOREAN PROPOSITION. ВТ .1ЛМ1.Ч EDWAKD OLIVES. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other ¿wo sides. Drop a perpendicular from the right angle to the hypothenuse,... | |
 | Arundell Blount Whatton - Astronomers - 1859 - 246 pages
...has his moments of ecstacy. When Pythagoras had fairly demonstrated the great geometrical truth, that the square described on the hypothenuse of a right-angled triangle is equal to the squares constructed upon the other two sides, such was his exultation that he forthwith sacrificed... | |
 | William Thomson - Logic - 1859 - 370 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, or why did the discoverer sacrifice... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...27. 28. 17*. 794i. 15. 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... | |
 | Isaac Todhunter - 1860 - 318 pages
...33. With respect to the 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... | |
 | 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... | |
 | Joseph J. Reed - History, Ancient - 1862 - 196 pages
...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
...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
...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... | |
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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. 
