| Charles Hutton - 1812 - 412 pągines
...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 - 172 pągines
...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 - 388 pągines
...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, (... | |
| 1817 - 478 pągines
...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 - 488 pągines
...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 - 642 pągines
...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 - 590 pągines
...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 - 440 pągines
...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 - 520 pągines
...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 - 418 pągines
...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... | |
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