 | Charles Davies - 1849 - 372 Seiten
...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 Campbell - 1849 - 472 Seiten
...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 Seiten
...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,... | |
 | Roswell Chamberlain Smith - 1850 - 314 Seiten
...PERPENDICULAR. In other triangles the longest side is usually considered the Base. 15. In every right-angled triangle, — The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302. [Fig. 8.] 16. Hence, to find the different sides,... | |
 | George Roberts Perkins - 1850 - 332 Seiten
...4=3, we 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 Seiten
...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,... | |
 | Benjamin Greenleaf - 1851 - 332 Seiten
...side BC the perpendicular, the side AC the hypolhenuse, and the angle at B is a right angle. ART. 272. 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... | |
 | American Oriental Society - 1860 - 632 Seiten
...by the converse process. This is simply an application of the familiar rule, that in a rightangled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides, to the triangle produced by the gnomon as perpendicular, the shadow... | |
 | Frederick Overman - 1851 - 452 Seiten
...right angle from the middle of the hypothenuse is equal to half the hypothenuse. In a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. If an angle be bisected by a right line,' which cuts the base, the segments... | |
 | Charles William Hackley - 1851 - 536 Seiten
...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... | |
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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. 
