 | Madras literary society - 1837 - 996 pages
...which AE is the other kg, and AB, is the third side, or hypothenuse. 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,— BE8 -f- AE JL AB* : but as BE,... | |
 | Charles Davies - 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... | |
 | Alexander Jamieson - 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 William Hackley - 1838 - 338 pages
...and a very simple formula depending upon the well known property of the right angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, a formula expressing the value of the sine of half an arc in terms... | |
 | Perry Fairfax Nursey - 1838 - 510 pages
...К is the other leg, and AB, is the third side, or hypothenuse. 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, В Е=+Л E-' = A ß2: but as BE,... | |
 | Jeremiah Day - 1838 - 416 pages
...the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. L) If the legs be given, extracting the square root... | |
 | 1838 - 510 pages
...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,... | |
 | Charles Davies - 1839 - 376 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. l. In a right-angled... | |
 | Charles Davies - 1839 - 376 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... | |
 | Jeremiah Day - 1839 - 434 pages
...R2=cos xsec. 94. Other relations of the sine, tangent, &c., may be derived from the proposition, that the square of the hypothenuse is equal to the sum of the squares of the perpendicular sides. (Euc. 47. 1.) In the right angled triangles CBG, CAD, and CHF,... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
