 | James Stewart Eaton - 1867 - 358 σελίδες
...the squares 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,... | |
 | Edward Brooks - 1868 - 284 σελίδες
...AC is equal to the sum of the two squares HB and BZ1. Therefore, etc. Cor. I. The square of either side about the right angle is equal to the square...hypothenuse diminished by the square of the other side. For, since AB * + BC* = AC*, we have, by transposing, 25*=: 30" — BC*. Cor. 2. The square of the... | |
 | Benjamin Greenleaf - 1868 - 340 σελίδες
...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, AB is equivalent to B C" — AC. by the perpendicular let fall from the vertex of the right... | |
 | John Fair Stoddard - 1868 - 428 σελίδες
...hypotheneuse equals (he gum of the squares of the other two sides. 1. Hence, the square of either side equals the square of the hypothenuse diminished by the square of the other side. h'=b' + p', hence h= b'=h'-p', hence b=Vh2-p'. p'-h'-p', hence p=t/h2-p'. 1. Kequired the length of... | |
 | John Fair Stoddard - 1888 - 480 σελίδες
...hypotheneuse equals the *um of the squares of the other two sides. 1. Hence, the square of either side equals the square of the hypothenuse diminished by the square of the other side. hj=b'+pj, hence h=f b'=h'-p', hence b^h'-p'. p^h'-b", hence p=Hi'-b'. 1. Bequired the length of a ladder... | |
 | Charles Davies, Adrien Marie Legendre - 1869 - 470 σελίδες
...the squares AH and AI ; or, BC2 = AI? + AC2 ; which was to be proved. Cor. 1. The square of either side about the right angle is equal to the square ' of the hypothenuse diminished by thtj square of the other side : thus, AB* = BC* - AC* ; or, AC2 = BC2 - AB*Cor. 2. If from the vertex... | |
 | Charles Davies - 1872 - 464 σελίδες
...squares AH and AI; or, _Z? C 2 = AI? + A € 2 ; which was to be proved. Cor. 1. The square of either side about the right angle is equal to the square...hypothenuse diminished by the square of the other side : thus, AI? = BC* - AC* ; or, AC 2 = JBC* - A~B*. Cor. 2. If from the vertex of the right angle, a... | |
 | Benjamin Greenleaf - 1873 - 202 σελίδες
...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, AB* is equivalent to BG* — AC?. 197. Cor. 2. The square described on DC the diagonal of a... | |
 | Daniel W. Fish - 1874 - 302 σελίδες
...the other two sides. 2. The square of the base, or of the perpendicular, of a right-tingled triangle is equal to the square of the hypothenuse diminished by the square of the other side. 886. To find the hypothenuse. 1 . The base of a right-angled triangle is 12, and the perpendicular... | |
 | Daniel W. Fish - 1874 - 540 σελίδες
...the other two sides. 2. 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. 886. To find the hypothenuse. 1. The base of a right-angled triangle is 12, and the perpendicular 16.... | |
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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. 
