 | John Bonnycastle - 1806 - 464 páginas
...found by the operation, shall not be greater than radius, otherwise the triangle is impossible. V. Given two angles and a side opposite to one. of them,- to find the included side. RULE. Find the side opp. the other given angle by case iv, and note whether it be ambiguous... | |
 | Nicolas Pike - 1808 - 470 páginas
...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 - 1810 - 478 páginas
...•Ansiver. 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... | |
 | Charles Hutton - 1811 - 404 páginas
...afourth proportional to sin b, sin B, and sin a. PROBLEM VII. Given Two Angles of a Spherical Triangle, and a Side Opposite to one of them ; to find the Side Opposite to the othef . Suppose the given angles are A, and B, and b the given . . . . sin i . sin A . ,- . > side... | |
 | Charles Hutton - 1811 - 574 páginas
...fallsout of the triangle, the difference of the two arcs will be the side required. Prop. XXI. Having two angles, and a side opposite to one of them; to find the third angle. Let a perpendicular fall from the angle unknown, on its opposite side : then add the cosine... | |
 | Charles Hutton - 1812 - 624 páginas
...fourth proportional to sin b, sin B, and sin a. PROBLEM VII. Given Two Angles of a Spherical Triangle, and a Side Opposite to one of them ; to find the Side Opposite to the other. Suppose the given angles are A, and B, and A the given sin b . sin A . f side: then th. 7, gives... | |
 | Charles Hutton - 1822 - 680 páginas
...fourth proportional to sin b, sin B, and sin a. PROBLEM vn. Given Two Angles of a Spherical Triangle, and a Side Opposite to one of them ; to find the Side Opposite t© the other. Suppose the given angles are A, and B, and b the given side : thenth. 7, gives ^a=~^^... | |
 | Ferdinand Rudolph Hassler - 1826 - 208 páginas
...Which gives the iinal formula : cos В sin x = • 12 cos Z and cos Л sin y = 13 § 96. Problem 11. Given, two angles, and a side opposite to one of them ; to find the side contained between these angles. Given, It, а, Л ; to find c. The solution of this case depends upon... | |
 | Ferdinand Rudolph Hassler - 1826 - 640 páginas
...they are not 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,. A, B, a; to find C. The general formula for this case is again : cos C = sin B... | |
 | Ferdinand Rudolph Hassler - 1826 - 212 páginas
...they are 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... | |
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Having two angles, and a side opposite to one of them-, to find the third angle. 
