 | 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... | |
 | Charles Guilford Burnham - 1850 - 350 pages
...the length of the side AB? In every right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular ; therefore, the square root of the sum of the squares of the base and perpendicular, will be the hypotenuse, and the square root of the difference... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...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... | |
 | Roswell Chamberlain Smith - Arithmetic - 1850 - 314 pages
...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 - 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,... | |
 | Benjamin Greenleaf - 1851 - 332 pages
...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 - Oriental philology - 1860 - 632 pages
...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 - Building - 1851 - 452 pages
...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... | |
 | Horace Mann - 1851 - 384 pages
...lines 10ft. apart. This mode of operation is founded on the property of right-angled triangles, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. A roof is said to have a true pitch, when the length of each rafter... | |
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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. 
