 | Elias Loomis - Trigonometry - 1855 - 192 pages
...two sides of a right-angled triangle are given, the third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. ,, Hence, representing the hypothenuse, base, and perpendicular by... | |
 | 1855 - 424 pages
...two sides of a right-angled triangle are given, the third may be found by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence h = Ъ = —p = ^h' — b* Ex. 1. If the base is 2720, and the... | |
 | John Fair Stoddard - Arithmetic - 1856 - 312 pages
...side can be found by means of the following theorem. It is an established theorem of geometry, that the square of the hypothenuse is equal to the sum of the SQUARES of the ntlier two sides. Therefore, the square of one of the sides is equal to tlie square... | |
 | Roswell Chamberlain Smith - Arithmetic - 1856 - 334 pages
...triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 503 =* 402 +30'. [Fig. 8.] 16. Hence, to find the different sides,... | |
 | Jaime Luciano Balmes - Philosophy - 1856 - 568 pages
...talk. "We will suppose the interlocutor to set out to demonstrate to us that in a rectangular triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular ; and that we, in order to exercise his intelligence, or rather... | |
 | William Swinton - Civilization - 1879 - 542 pages
...sciences, especially geome' ; * Science. EGYPTIAN MUMMY. ANCIENT ORIENTAL MONARCHIES. the/arf that "the square of the hypothenuse is equal to the sum of the squares of the two other sides " ; but it was the Greek mathematician himself who discovered the demonstration... | |
 | Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1877 - 496 pages
...square AFGC cut so that the two will exactly coincide with BDEA, or, in other words, — FORMULA. — The square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence — To find the hypothenuse of a right-angled triangle, RULE.... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...the other two ; for the three figures are to each other as the squares of their homologous sides. But the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence the similar figure described on the hypothenuse is equal to the... | |
 | Samuel Pedley - 1879 - 402 pages
...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line... | |
 | Education - 1885 - 696 pages
...which are apparently quite unrelated to it. Thus the famous property of a right-angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, may be readily deduced from certain general properties of triangles... | |
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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
