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" If the sine of the mean of three equidifferent arcs' dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.)... "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Page 7
by Thomas Simpson - 1810 - 125 pages
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...theorems: (A). If the sine of the mean of three equidifferent arcs (radius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B). The sine of any...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...three circular arcs in arithmetical progression, radius being i ; and if the cosine of the mean arc be multiplied by twice the cosine of the common difference, and the cosine of either extreme subtracted from the product, the remainder will be the cosine of the other...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 408 pages
...theorems. Theor. 1. If the sine of the mean of any three equi-different arches (the radius being supposed unity) be multiplied by twice the co-sine of the common difference, and from the product, the sine of either extreme be subtracted, the remainder •mill be the sine of the...
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Mathematics for Practical Men: Being a Common-place Book of ... Pure and ...

Olinthus Gregory - Mathematics - 1834 - 480 pages
...extremes. (A.) If the sine of the mean of three equidifferent arcs dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.) The sine of any...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...B=2 cos (A — B) . sin 4 (A+B), Consequently, if the sine of the mean of three equidijferent arcs be multiplied by twice the cosine of the common difference, and the sine of either of the extreme arcs be deducted from the product, the remainder will be the sine of the other extreme...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...extremes (A.) If the sine of the mean of three equidifferent arc.J ^ dius being unity) be multiplied into twice the cosine of the common difference, and the sine of either extreme be deducted from the product, the remainder will be the sine of the other extreme. (B.) The sine of any...
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