| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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