| Abel Flint - Geometry - 1835 - 368 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 - 394 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 - 342 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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