 | Arundell Blount Whatton - 1859 - 246 pàgines
...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 Wirt Howe - 1859 - 324 pàgines
...confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented... | |
 | William Thomson - 1859 - 370 pàgines
...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... | |
 | Isaac Todhunter - 1860 - 318 pàgines
...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... | |
 | James Bates Thomson - 1860 - 440 pàgines
...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... | |
 | Benjamin John Wallace, Albert Barnes - 1860 - 720 pàgines
...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... | |
 | Johann Georg Heck - 1860 - 332 pàgines
...this proposition is known as the Pythagorean: the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
 | Charles Davies - 1861 - 496 pàgines
...angles to each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described... | |
 | John Cumming - 1861 - 540 pàgines
...first book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal to the sum of the squares described on the other two sides — I remember I could prove that step by step ; but I have been so much out of the way of mathematics... | |
 | Benjamin Greenleaf - 1861 - 638 pàgines
...— THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum. of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A; then the square described on the hypothenuse BC... | |
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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. 
