 | Jeremiah Day - 1815 - 172 páginas
...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,... | |
 | Brahmagupta - 1817 - 488 páginas
...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].... | |
 | 1817 - 478 páginas
...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].... | |
 | Robert Woodhouse - 1819 - 300 páginas
...sin.* A = (rad>/)2 — cos.* A = (when rad>. = 1) 1 — cos.2 A — (1 + cos. A) (1 — cos. A); «ince the difference of the squares of two quantities is equal to the product of their sum and difference ; hence we may find the value of sin.2 A, by finding, from the preceding Problem,... | |
 | Jeremiah Day - 1824 - 440 páginas
...multiplying the factors, and reducing the terms, we have, sin(e+^- •Xsin(a—b)=sin-(i—sin3b Or, because the difference of the squares of two quantities is equal to the product of their sum and difference, (Alg. sm(rt+ i) X «'»(«— b)=(sin a+sin ') X (sin a — T the s of their... | |
 | Adrien Marie Legendre - 1830 - 344 páginas
...together tlic first and second formulas of Art. XIX. substitute for co«26, 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... | |
 | Jeremiah Day - 1831 - 418 páginas
...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, by performing the multiplication.... | |
 | Jeremiah Day - 1831 - 394 páginas
...the factors, and reducing the terms, we have, sin(«+6) Xsin(a — 6)=sin = a — sin26 Or, because the difference of the squares of two quantities is equal to the product of their sum and difference, (Alg. 235.) sin(a+i'))Xsin(a— 6)=(sin a+sin 6)X(sina-sin6) That is, the... | |
 | Jeremiah Day - 1836 - 418 páginas
...difference of the squares may be obtained by logarithms. It depends on the principle, that the difference oj the squares of two quantities is equal to the product of the sum and difference of the quantities. (Alg. 235.) Thus, as will be seen at once, by performing the multiplication. The... | |
 | Jeremiah Day - 1838 - 416 páginas
...the factors, and reducing the terms, we have, sin (a+6)xsin (a — 6) = sin2 a — sin2 6 Or, because the difference of the squares of two quantities is equal to the product of their sum and difference, (Alg. 235.) sin (a+6) X sin (« — 6)= (sin a+sin b) x (sin a — sin b)... | |
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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. 
