 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...ambiguous, cases, the data are sometimes insufficient for limiting the triangle. These cases are, when two sides and an angle opposite to one of them, or two angles and a side opposite to one of them, are given, to find the rest ; in which instances there may be two triangles having the same data ;... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...theory of trigo'nometry furnish the following rules for the solution of the different cases. 1. When two sides and an angle opposite to one of them, or two angles and a side opposite to one of them, are given. As any side of a triangle is to the sine of its opposite angle, so is any other side of... | |
 | John Radford Young - Astronomy - 1833 - 308 pages
...opposite to the former, is to the sine of' the angle opposite to the latter. Whenever, therefore, we know two sides and an angle opposite to one of them, or two angles and a side opposite to one of them, the other three parts of the triangle may always be determined by help of this rult. The cosine of... | |
 | Mathematics - 1836 - 366 pages
...a plane triangle ; explain why they are sufficient in a spherical triangle. In a spherical triangle having given two sides and an angle opposite to one of them, determine the other parts. 56. The arc of a great circle, which joins the middle point of a side of... | |
 | Scottish school-book assoc - 1845 - 444 pages
...above theorem enables us to find the sides and angles of any triangle, when there are given either two sides and an angle opposite to one of them, or two angles and a side opposite to one of them. If, however, the data be two sides, and the angle opposite to. the lens, there are two solutions, and... | |
 | Euclides - 1846 - 292 pages
...given point without a given line draw a line making a given angle with it. 6. COnstruct a triangle, having given two sides and an angle opposite to one of them ; and shew that there may, according to circumstances, be two solutions, one, or none. 7. Describe... | |
 | Henry Barnard - Education - 1856 - 768 pages
...two sides and the included angle, or two angles and the included side. — Formulas of Delambre : 8° Having given two sides and an angle opposite to one...horizon. — Determination of differences of level. Knowing the latitude and the longitude of two points on the surface of the earth, to find the distance... | |
 | Henry Barnard - Military education - 1862 - 412 pages
...given two sides and the included angle, or two angles and the included side.—Formulas of Dehunbre: 3o Having given two sides and an angle opposite to one...angle to render the formulas calculable by logarithms. Applications.—Survey of a mountainous country.—Reduction of the base and of the angles to the horizon.—Determinat... | |
 | Education - 1862 - 752 pages
...two sides and tho included angle, or two angles and the included side.— Formulas of Dolambre: 8° Having given two sides and an angle opposite to one of them, or two angles mnl a side opposite to one of them. Employment of an auxiliary angle to render the formulas calculable... | |
 | Education - 1863 - 768 pages
...two sides and the included angle, or two angles and the included aide. — Formulas of Delambre : 8° Having given two sides and an angle opposite to one...mountainous country.— Reduction of the base and of tho angles to the horizon. — Determination of differences of level. V. ANALYTICAL GEOMETRY. The important... | |
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Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them. 
