| Jeremiah Day - Logarithms - 1815 - 172 pages
...the factors, and reducing the terms, we have, sin(a +b)x sin(a — b) =sin *a—sin * b Or, because the difference of the squares of two quantities is equal to the product of their sura and difference, IAlg. 235.] sm(a + b)xsin(a—b)=(sin a+sin b) x(sin a— sin b) That is, the... | |
| Brahmagupta - Algebra - 1817 - 488 pages
...side is obtained, 12. Its square, or the difference of the squares of hypotenuse and upright, is 144. The difference of the squares of two quantities is...equal to the product of their sum and difference.* For a square3 is the area of an equilateral quadrangle [and equi-diagonal4]. This for example, is the... | |
| Algebra - 1817 - 478 pages
...side is obtained, 12. Its square, or the difference of the squares of hypotenuse and upright, is 144. The difference of the squares of two quantities is equal to the product of their sum and difference.2 For a square3 is the area of an equilateral quadrangle [and equi-diagonal4]. This for... | |
| Jeremiah Day - Geometry - 1824 - 440 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (A|g. 235.) Thus as will be seen at once, by performing the... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...together tlic first and second formulas of Art. XIX. substitute for coĢ26, R2 — sm26 and recollect that the difference of the squares of two quantities is equal to the product of their sum and difference. To check and verify operations like these, the proportions should be changed at certain stages. Thus,... | |
| Jeremiah Day - Measurement - 1831 - 394 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, /t2-J2=(A+J)X(A-&) as will be seen at once,... | |
| Jeremiah Day - Logarithms - 1831 - 418 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, ha-b'=(h+b)x(hb) as will be seen at once,... | |
| Charles William Hackley - Trigonometry - 1838 - 338 pages
...there results . 4 ac but (Alg. Art. 46) 2 ac — a2 — c2 =— (a— c)2 hence (ac)2) = R 4ac 4 ac but the difference of the squares of two quantities is...to the product of their sum and difference, hence b* — (a — c)2 = (b + a — c) (b — a + c) substituting the second member of this in place of... | |
| Jeremiah Day - Geometry - 1838 - 416 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum mid difference of the quantities. (Alg. 235.) Thus, h* — b'=(h+b)x(h— b) as will be seen... | |
| Jeremiah Day - Geometry - 1839 - 434 pages
...which the difference of the squares may be obtained by logarithms. It depends on the principle, that the difference of the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, fr — b" =(hjf-b}x(h — b) as will be... | |
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