| Charles Hutton - 1812 - 485 páginas
...the- product multiplied by the quotient, is the square of the first number. llM, The difference of two **squares, is equal to the product of the sum and difference of the** roots. 12th. If two numbers be divided by each other; and the quotients multiplied together, the result... | |
| Jeremiah Day - 1815 - 126 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 462c2— (62+c2— a3)* maybe resolved into the two factors, ( 26c+(62+c2... | |
| Jeremiah Day - 1815 - 96 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 462c2 — (62+c2 — a2)2 maybe resolved into the two factors, (... | |
| Brahmagupta - 1817 - 378 páginas
...assumed difference, the quotient is the sum of the upright and hypotenuse. For the difference of the **squares is equal to the product of the sum and difference of the** roots. (§ 135.) The upright and hypotenuse are therefore found by the rule of concurrence' (§ 55).... | |
| Brahmagupta - 1817 - 378 páginas
...assumed difference, the quotient is the sum of the upright and hypotenuse. For the difference of the **squares is equal to the product of the sum and difference of the** roots. (§ 135.) The upright and hypotenuse are therefore found by the rule of concurrence' (§ 55).... | |
| Asiatic Society of Bengal - 1818
...product multiplied by the quotient is the square of the first number. " 1 1th. The difference of two **squares is equal to the product of the sum and difference of the** roots. " 12th. If two numbers are divided by each other, and the quotients multiplied together, the... | |
| 1818
...be resorted to. This property of triangles, that the product of the sum and difference of the sides **is equal to the product of the sum and difference of the** segments into which the base is divided by the perpendicular, is found in the Lilavati, § 163, and... | |
| Jeremiah Day - 1824
...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 463c3 -(6' +ca -«3)3 maybe resolved into the two factors, < 2Jc+(6a... | |
| Jeremiah Day - 1831 - 370 páginas
...the product of the sum and difference of the two diameters by .7854. The area of the ring (Fig. 13.) **is evidently equal to the difference between the areas...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... | |
| Jeremiah Day - 1831 - 370 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 462c2 — (b2+c2 -a2)2 may be resolved into the two factors, $ 26c+(62+,c2... | |
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