 | Abel Flint - Geometry - 1835 - 360 pages
...without finding the angles ; according to the following PROPOSITION ; IN EVERY RIGHT ANGLED TRIANGLE, THE SQUARE OF THE HYPOTHENUSE IS EQUAL TO THE SUM OF THE SQUARES OF THE TWO LEGS. HENCE, THE SQUARE OF THE GIVEN LEG BEING SUBTRACTED FROM THE SQUARE OF THE... | |
 | W. H. Spiller - Algebra - 1835 - 210 pages
...root, . 2x + 15 = ± 21 ; ,., = ! = , Ex 22. Here, we will suppose the hypothenuse to be x ; then, as the square of the hypothenuse is equal to the sum of the squares of the sides in a right-angled triangle, we shall have or *s = 2r!— 18* +45; transpo. and... | |
 | Adrien Marie Legendre - Geometry - 1836 - 382 pages
...found by the first two theorems ; or if two of the sides are given, by means of the property, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. EXAMPLES. Ex. 1. In the right angled triangle BCA, there are given... | |
 | Alexander Jamieson - Fluid mechanics - 1837 - 516 pages
...sides DH and CE ; that is, tf=\(xy). Consequently, by the property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, we shall have (i,y =*• + «*—y)'; and by extracting the... | |
 | Charles Davies - Navigation - 1837 - 338 pages
...by either of the four last cases : or, if two of the sides are given, by means of the property that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Or the parts may be found by Theorem V. EXAMPLES. 1. In a right-angled... | |
 | Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...the hypothenuse, having the other two sides given ? Base. 9 2 AC=9=81 In every right angled triangle, the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the... | |
 | Perry Fairfax Nursey - Industrial arts - 1838 - 510 pages
...radius ; and EB is one leg or side of the right angle triangle AEB, of which А К is the other leg, and AB, is the third side, or hypothenuse. Then, as...square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, В Е=+Л E-' = A ß2: but as BE,... | |
 | 1838 - 520 pages
...the radius ; and EB is one leg or side of the right angle triangle AEB, of which AE is the other leg, and AB, is the third side, or hypothenuse. Then, as...square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B Es+ A E' = A B': but as BE, and... | |
 | Technology - 1838 - 510 pages
...hypothenuses А B, BC, CD, and AD, also equal, and together forming an inscribed square to the circle AB C D. Then, as in right angle triangles, the square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B Е 2 +Л E 2 = AB 2 : but as BE,... | |
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