 | 1846 - 636 páginas
...Uumeist did not really doubt that Ceesar once Uted in Rome — that the sun will rise to-morrow — thit the square of the hypothenuse is equal to the sum of the squares of the opposite sides. In all these matters man is satisfied to act upon the knowledge arising... | |
 | Roswell Chamberlain Smith - 1847 - 308 páginas
...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... | |
 | George Roberts Perkins - 1847 - 326 páginas
...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 - 1847 - 248 páginas
...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... | |
 | Jeremiah Day - 1848 - 354 páginas
...given, 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. 1.) If the legs be given, extracting the square root... | |
 | Charles Davies - 1849 - 372 páginas
...may be 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... | |
 | George Roberts Perkins - 1849 - 356 páginas
...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 Campbell - 1849 - 472 páginas
...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."... | |
 | Benjamin Greenleaf - 1849 - 336 páginas
...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... | |
 | Nathan Daboll, David Austin Daboll - 1849 - 260 páginas
...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.... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
