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" But the difference of two squares is equal to the product of the sum and difference of their roots. "
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... - Página 34
por Jeremiah Day - 1848 - 153 páginas
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Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

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...
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

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...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

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, (...
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Algebra: With Arithmetic and Mensuration

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)....
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Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta ...

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)....
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Asiatic Researches; Or, Transactions of the Society, Instituted in Bengal ...

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...
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The Edinburgh Review: Or Critical Journal, Volumen29

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...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

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...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

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...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

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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