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" But if the hypothenuse be made radius -, then each leg "will represent the sine of its opposite angle ; namely, the leg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A. "
Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... - Page 28
1801
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A Treatise on Mensuration, Both in Theory and Practice

Charles Hutton - Measurement - 1788 - 728 pages
...radius ; then each, leg will reprefent the fine of its oppofite angle ; namely, the leg AB the fine of the arc AE or angle c, and the leg BC the fine of the arc CD or angle A. And then the general rule for all thefe cafes, is this, namely, that...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - Mathematics - 1807 - 464 pages
...represent the tangent, and the hypothenuse AC the secant, of the arc BG or angle c. But if the hypothenuse be made radius -, then each leg "will represent the...and the leg BC the sine of the arc CD or angle A. Then the general rule for all these cases is this, namely, that the -sides of the triangle bear to...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - Mathematics - 1811 - 494 pages
...present the tangent, and the hypothenuse AC the secant, of the arc BG or angle c. But if the hypothenuse be made radius ; then each leg will represent the...namely, the leg AB the sine of the arc AE or angle c, arid the leg Be the sine of the arc CD or angle A. Then the general rule for all these cases is this,...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811 - 442 pages
...AC the secant, of the arc BG or angle C. But if the hypothenuse be made radius; then each leg vvill represent the sine of its opposite angle ; namely,...AB the sine of the arc AE or angle c, and the leg EC the sine' of the arc CD or angle A. Then the general rule for all these cases is this, namely, that...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...represent the tangent, and the hypothenusc AC the secant, of the arc BG or angle c. But if the hypothenuse be made radius ; then each leg will represent the...opposite angle ; namely, the leg AB the sine of the arc AK or angle c, and the leg BC the sine of the arc CD or angle A. Then the general rule for all these...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...the tangent, and the bypothcnuse AC the secant, of the are BG> or angle C. 3. But if the hypothenuse be made radius ; then each leg will represent the sine of its opposite angle; namely, the leg AB, Fig. 52, the sine of the arc AE or angle C, and the leg BC the sine of the arc CD, or angle A. TJie...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - Plane trigonometry - 1817 - 392 pages
...radius ; then each leg will represent the sine of ks opposite angle ; namely, the leg AB, Fig. 52, the sine of the arc AE or angle C, and the leg BC the sine of the arc CD, or an^le A. The angles and one side of a right-angled triangle being given to find the other sides. \...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1817 - 384 pages
...is just equivalent to rejecting 20 from the sum of the logarithm» ; which 3. But if the hypothenuse be made radius ; then each leg will represent the sine of its opposite angle j numely, the leg AB, Fig. 5'2, the sine of the arc AE or angle C, and the leg BC the sine of the arc...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...represent the tangent, and the hypothenuse AC the secant, of the arc BG or angle c. But if the hypothenuse be made radius ; then each leg will represent the sine of its opposite angle ; namely, the 1 eg AB the sine of the arc AE or angle c, and the leg BC the sine of the arc CD or angle A. Then the...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...represent the tangent, and the hypothenuse AC the secant, of the arc, BG or angle c. But if the hypotbenuse be made radius ; then each leg will represent the...the arc AE or angle c, and the leg BC the sine of tb« arc CD or angle A. Then the general rule for all these cases is this, namely, that the sides of...
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