 | Charles Davies - Geometry - 1886 - 340 pages
...the other 1wo sides. Cor. Hence, the square of either side of a right angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side. That is, in the right angled triangle ABC or BC=O= Sch. The last theorem may be illustrated by describing... | |
 | James B. Dodd - 1853 - 398 pages
...expressed thus : AC 3 —AB 3 + BC 3 . Hence also the square on either of the two perpendicular sides, is equal to the square of the hypothenuse diminished by the square of the other side: that is, AB 3 = AC 3 —BC 3 ; and BC a = AC 3 — AB a . On these principles. any one side of a right... | |
 | John Fair Stoddard - Arithmetic - 1856 - 312 pages
...of the SQUARES of the ntlier two sides. Therefore, the square of one of the sides is equal to tlie square of the hypothenuse, diminished by the square of the other side. 1. How long must a ladder be to reach to the top of a tree 52 feet high when the foot of it is 39 feet... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...The square of either of the sides whick form the right angle of a right-angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; thus, O2 is equivalent to B~Ca — AC". by the perpendicular let fall from the vertex of the right... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...The square of either of the sides which form the right angle of a right-angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; thus, A B2 is equivalent to B C2 — AC*. by the perpendicular let fall from the vertex of the right... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...The square of either of the sides which form the right angle of a right-angled triangle is equivalent to the square of the hypothenuse diminished by the square of the other side ; thus, AB2 is equivalent to B C2 — AC*. by the perpendicular let fall from the vertex of the right... | |
 | Edward Brooks - Arithmetic - 1863 - 350 pages
...(he sum of ' the squares of the other two sides. PBIN. II. — Hence the square of either side equals the square of the hypothenuse diminished by the square of the other side. EXAMPLES FOE PEACTICE. 1. The two sides of a right angled triangle are 51 and 68 inches respectively;... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the hypothenuse diminished by the square of the other side. This will be seen by counting the small squares in the square of the hypothenuse and those in the squares... | |
 | James Stewart Eaton - Arithmetic - 1868 - 356 pages
...described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the hypothenuse diminished by the square of the other side. This will be seen by counting the small squares in the square of the hypothenuse, and those in the... | |
 | James Stewart Eaton - Arithmetic - 1867 - 358 pages
...described on the other two sides. Also the square of either of the two sides which form the right angle is equal to the square of the hypothenuse diminished by the square of I he other side. This will be seen by counting the small squares in the square of the hypothenuse,... | |
| |
The square of the base, or of the perpendicular, of a right-angled triangle is equal to the square of the hypothenuse diminished by the square of the other side. 
