 | James William M'Gauley - 1854 - 284 pages
...of the hypothenuse and the other small «2 _ nZ side b is *, b is equal to — — - — For, since the square of the hypothenuse is equal to the sum of the squares of the small sides, 2sb=s2— a2 6=£2_o2 26. If the diagonal of a rectangle is c, and the... | |
 | Benjamin Greenleaf - 1854 - 342 pages
...the hypothenuse, and the angle at B is a right angle. Base. ART. 272. In every right angled triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining... | |
 | Thomas Kentish - Mathematical instruments - 1854 - 268 pages
...29, and raise a perpendicular BC = 17. Join AB; apply it to the scale, and it will be found 33.6. For the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular. It- is required to find the diameter of a copper, that, being... | |
 | 1855 - 424 pages
...When 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... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...When 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... | |
 | 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
...propositions, 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... | |
 | Charles Edwin Röbert - African Americans - 1880 - 186 pages
...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact that "the square of the hypothenuse is equal to the sum of the squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and... | |
 | William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...in its application. 2. When two of the sides are given, the third may be found by means of the rule that the square of the hypothenuse is equal to the sum of the squares of the remaining sides. 3. Another method for solving right-angled triangles is as follows:... | |
 | Alexis Claude Clairaut - 1881 - 184 pages
...hypothenuse of the right-angled triangle, we readily discover that famous property of right-angled triangles that the square of the hypothenuse is equal to the sum of the squares on the two other sides. 19. If, then, of two squares, HDLK and AB c D, we desired to make one... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
