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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 13
by Thomas Simpson - 1748 - 77 pages
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...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 arc above 60, is equal to the sine of another arc as much below 60, together...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...multiplied by twice the cosine of the common difference, and the sine of either extreme subtracted from the product, the remainder will be the sine of the other extreme. Demonstration, Let AB, AC and AD he three arcs of the same circle, in arithmetical progression, arc...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - Algebra - 1821 - 426 pages
...multiplied by twice the co-sine of the common difference, and the sine of either extreme be subtracted from the product, the remainder will be the sine of the other extreme. Theor. 2. Or, if the co-sine of the mean be multiplied by twice the sine of the common difference,...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...by twice tie 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 arc the radius being 1 . OP THE SINES, COSINES, TANGENTS, &C. OF THE MULTIPLES OF ARCS.* (H) Siae(A+)B...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 472 pages
...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. (в.) The sine of any arc above 60, is equal to the sine of another arc as much below 60, together...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...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 arc, the radius being 1. OF THE SINES, COSINES, TANGENTS, ETC. OF THE MULTIPLES OF ARCS. (261) Taking...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...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 arc above 60, is equal to the sine of ano.ther arc as much below 60, together...
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