 | Henry Sherwin - Logarithms - 1706 - 430 pages
...Perpendicular falls out of the Triangle propounded. Prop. XXI. Having true Anglet, and л fide oppofed го one of them ; to find the third Angle. Let a Perpendicular fall from the Angle unknown, upon his oppoiite (ide : Then Add the Co-Sine of the given fide to the Tangent of the adjacent Angle,... | |
 | Henry Sherwin - 1717 - 444 pages
...Perpendicular falls out of the Triangle propounded. Prop. XXI. Having tm Angles, *nd л fide oppofed to one of them ; to find the third Angle. Let a Perpendicular fall from the Angle unknown, upon his oppofite fide : Then Add the Co-Sine of the given fide to the Tangent of the adjacent Angle,... | |
 | 1742 - 468 pages
...!/»;'«. (the fécond arc) the fum i« 70 ¿cg-. for SP required. But when the perpendicular falls out of the Triangle, the difference of the two arcs will be the fide required. Prop. XXI. Having two ancles t and aßde oppofite to ens of them ; t»fi»d the tbird... | |
 | Henry Sherwin - Logarithms - 1742 - 438 pages
...¡z^mia. (the fécond arc) the fum is 70 dig. for SP required. But when the perpendicular falls out of the Triangle, the difference of the two arcs will be the fide required. Prop. XXI. Having two and aßdt oppoßte to ens oftbjnt ; to find the third an$le. Let... | |
 | Henry Sherwin - Logarithms - 1772 - 454 pages
...(the fécond Arc) the Sum is 70 deg. for PS the Sitie required. But when the Perpendicular falls out of the Triangle, the Difference of the two Arcs will be the Side required. Prop. XXVI. Having two Sides, and the ¿Ingle oppofite to one of them-, to find the Angle between them. Let... | |
 | Charles Hutton - Logarithms - 1785 - 560 pages
...ft arc 34 7 30 gives PS req. 70 о о Sec page 1 68 following. But when the perpendicular foils out of the triangle, the difference of the two arcs will be the fi'de required. .Prop. XXVI. Having two fida, and the angle opfofed to one of them ; to find toe angle... | |
 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...a cos p , / sin'acos's .^ a cosrt— cosb "' cosa+cosb — V (cos a + cosb)* ' cosa+cosi IV. Given two angles and a side opposite to one of them, to find the side opposite the other. RULE I. As sin eith. given Z s : sin its opp. side : : sin other given Z :... | |
 | Nicolas Pike - Algebra - 1808 - 470 pages
...B, take the bearing of the place ; also, measure the stationary distance AB, and you will then have two angles and a side opposite to one of them, to find either of the »ther sides. Zi tote the bright of an Olgtli standing on a hill, ivKch is inaccessible... | |
 | Thomas Keith - Navigation - 1810 - 478 pages
...AD~ 136°.53' obtuse, D&=S4e.27/ acute, and AB= AD— DB = 82°.26' not ambiguous. (R) CASE IV. Given two angles, and a side opposite to one of them, to find the other opposite side. CThe /A=51°.SO'l Given ^The /B=59°.16' £ Required the side AC. £The side EC... | |
 | Ferdinand Rudolph Hassler - Mathematics - 1826 - 212 pages
...nut so simple as either of the preceding ones, they are not here deduced. § 95. Problem 10. Given, two angles and a side opposite to one of them ; to find the third angle. Given, Jl, B, a; to find C. The general formula for this case is again : cos C = sin B sin A cos c... | |
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Ixi following. But when the perpendicular falls out of the triangle, the difference of the two arcs will be the side required. PROP. XXVI. — Having two sides, and the angle opposite to one of them ; to find the angle between them. 
