 | Jeremiah Day - 1831 - 418 páginas
...the product of the sum and difference of the diameters. (Alg. 235.) Therefore the area of the ring is equal to the product of the sum and difference of the two diameters multiplied by .7854. Ex. 1. If AB (Fig. 13.) be 221, and A'B' 1 06, what is the area... | |
 | Jeremiah Day - 1836 - 418 páginas
...(Fig. 13.) is evidently equal to the difference between the areas of the two circles AB and A' B'. But the area of each circle is equal to the square...30.) And the difference of these squares is equal lo the product of the sum and difference of the diameters. (Alg. 235.) Therefore the area of the ring... | |
 | Jeremiah Day - 1838 - 416 páginas
...whole expression under the radical sign is the difference of these squares. But the difference of two squares is equal to the product of the sum and difference of their roots. (Alg. 235.) Therefore, 468c2— (&8+cs— a3)8 may be resolved into the two factors, (... | |
 | Jeremiah Day - 1839 - 434 páginas
...whole expression under the radical sign is the difference of these squares. But the difference of two squares is equal to the product of the sum and difference of their roots. (Alg. 235.) Therefore, 462ca— (6s-fc2— a?f may be resolved into the twa factors, (... | |
 | J. M. Scribner - 1844 - 130 páginas
...is equal to the product of the sum and difference of the diameters. Therefore, the area of the ring is equal to the product of the sum and difference of the two diameters, multipled by .7854. Ex. 2. The diameter of the inner circle is 12 rods, and the outer,... | |
 | James Thomson - 1844 - 328 páginas
...product is equal to the difference of their " , ,0 squares: and, conversely, the difference of two squares — is equal to the product of the sum and difference of a °^ the roots of those squares. Hence, ( (*2+4:+lX*2—*+l)=*4 + <':2+l ; 2— 62; and Again, 4x2... | |
 | Stephen Chase - 1849 - 348 páginas
...4n+4n2 ? a2— 12ab +36J-? 81( = 100— 2.10.1+1 =102— 2.10.1+1 2)? (III.) The difference of two squares is equal to the product of the sum and difference of their roots (§ 23). 1. R-— ^s = what? Ans. (R+x)(R—x). 2. sin2 a— sins i = what ? x2— y2 ?... | |
 | James Hann - 1850 - 146 páginas
...Subtract (3) from (2), and we have tf*-y»* + a/*-ar* = 0 ..... ............. (4); ANALYTICAL GEOMETBT. is equal to the product of the sum and difference of the same quantities, we have y") (/ - /') y' - y" _ 11 -' " a! y' If this value be substituted in (1) it... | |
 | Jeremiah Day - 1851 - 418 páginas
...whole expression under the radical sign is the difference of these squares. But the difference of two squares is equal to the product of the sum and difference of their roots. (Alg. 235.) Therefore, 46'c'— (6s+c2— o2)2 may be resolved into the two factors, (... | |
 | Jeremiah Day - 1853 - 288 páginas
...the ring (Fig. 13.) is evidently equal to the difference between the areas of the two circles AB nnd A'B'. But the area of each circle is equal to the...of the sum and difference of the diameters. (Alg. 235.) Therefore the area of the ring is equal to the product of the sum and difference of the two diameters... | |
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But the difference of two squares is equal to the product of the sum and difference of their roots. 
