| Jeremiah Day - 1838
...are referred to. 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.... | |
| Perry Fairfax Nursey - 1838
...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,... | |
| 1838
...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 - 261 páginas
...found 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 - 261 páginas
...found 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 - 370 páginas
...Therefore 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,... | |
| Nathan Daboll - 1839
...base, is yj rods 7 6SY.l9,5=*W7,5i.==5i, IT. 37J rod.. ART. 2. — In every right-angled triangle, **the square of the hypothenuse is equal to the sum of the** squares of the other two sides. 1. Hence, when the legs are given, to find the hypothenuse. RULE. Add... | |
| John D. Williams - 1840 - 605 páginas
...area, yz is = to 2x, or у = — , and the hypothenuse of the triz 2a; angle is expressed by a z. But **the square of the hypothenuse is equal to the sum of the** squares of the two sides ; .•. (2x \2 4z8 4яа; а zl=— 5- — z", or о2 2<zz = — 4ах. Mulüz... | |
| George Campbell - 1840
...instance, of the first kind, the following affirmations, " The cube of two is the half of sixteen." — " **The square of the hypothenuse is equal to the sum of the** squares of the sides." — " if equal' things be taken from equal things, the remainders will be equal."... | |
| Charles Davies - 1841 - 359 páginas
...round 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... | |
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