 | George Roberts Perkins - Geometry - 1847 - 326 pages
...3) = 12 X 6 = 9" — 3" = 81 — 9 = 72. E2 PROPOSITION VIII. THEOREM. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle C ; then... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...divides the parallelogram AF, and ABCD is the half of it. QED THEOREM XXVI. In any right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle A ; then... | |
 | Roswell Chamberlain Smith - Arithmetic - 1847 - 308 pages
...Irregular figure divide it into triangles. A In any right-angled triangle, it has been ascertained, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. Thus, in the adjacent figure, 40« = 1600, andSO2 = 900 ; then,-/ 900+1600... | |
 | Jeremiah Day - Logarithms - 1848 - 354 pages
...referred to. 94. Other relations of the sine, tangent, die., 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.— Thomson 11. 4.) In the right angled- triangles... | |
 | Nathan Daboll, David Austin Daboll - Arithmetic - 1849 - 260 pages
...perpendicular 48 rods, how many acres ? Ans. 7a. 2r. 36 roife. 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 ttypothenuse. RULE.... | |
 | George Campbell - English language - 1849 - 472 pages
...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 - Trigonometry - 1849 - 372 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... | |
 | Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...hypothenuse, and the angle at ' B is a right angle. Base. ART. 373. 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... | |
 | George Roberts Perkins - Arithmetic - 1849 - 356 pages
...opposite the right angle is called the hypothenuse. It is an establisJied proposition of geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,... | |
 | George Roberts Perkins - Arithmetic - 1850 - 356 pages
...opposite the right angle is called the hypothenuse. It is an established proposition of geometry, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. From the above proposition, it follows that the square of the hypothenuse,... | |
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The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. 
