 | Charles William Hackley - 1847 - 248 σελίδες
...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... | |
 | George Roberts Perkins - 1847 - 326 σελίδες
...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... | |
 | Jeremiah Day - 1848 - 354 σελίδες
...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... | |
 | George Campbell - 1849 - 472 σελίδες
...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."... | |
 | George Roberts Perkins - 1849 - 356 σελίδες
...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,... | |
 | Benjamin Greenleaf - 1849 - 336 σελίδες
...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... | |
 | Charles Davies - 1849 - 372 σελίδες
...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... | |
 | Nathan Daboll, David Austin Daboll - 1849 - 260 σελίδες
...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 Roberts Perkins - 1850 - 332 σελίδες
...shall have (9+3)x(9-3)=12x6=9 " -3'=81-9=72. 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 rightangle C ; then... | |
 | George Roberts Perkins - 1850 - 356 σελίδες
...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. 
