 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...sides about the equal angles reciprocally proportional. 19. Investigate a trigonometrical expression for the area of a triangle in terms of two sides, and their included angle. Hence deduce the last proposition. 20. Investigate formulae for the solution... | |
 | Edward Atkins - 1874 - 428 pages
...have also — AABC = lacsinB (2). and A ABC = \ be sin A (3). The results in (1), (2), (3) express the area of a triangle in terms of two sides, and the included angle. We will now express the area in terms of the three sides. We have — A ABC = £ ab sin C, or, by last... | |
 | Henry Nathan Wheeler - Plane trigonometry - 1876 - 130 pages
...— " cos £ A " s (s — a) be OBLIQTTK TRIAKGLES. and in like manner . |(s _&)(«_ "~ \ s (s — a) [74] § 77. Formulas for the area of a triangle, in...adjacent angles; and in terms ofs and the three sides. FIG. 46. From geometry we know that the area of a triangle is half the product of its base by its altitude.... | |
 | Henry Nathan Wheeler - 1876 - 128 pages
...a) be and in like manner ,* (s — 6)(s — c) = + - - ji-± — r— ^ ' \ s (s — a) s (s — 6) [74] § 77. Formulas for the area of a triangle, in...of one side and the adjacent angles; and in terms of s and the three sides. FIG. 46. From geometry we know that the area of a triangle is half the product... | |
 | Henry Nathan Wheeler - Plane trigonometry - 1877 - 128 pages
...and [73]cos J *». note p. 75. and in like manner = + [( 1 \ (s — a) '•=+1 s (s — 6) ,-g)(8-ft) s (s — c) [74] § 77. Formulas for the area of a...of one side and the adjacent angles; and in terms of s and the three sides. FIG. 46. \From geometry we know that the area of a triangle is half the product... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...Write down the formula for the sine and cosine of any angle of a triangle in terms of the sides. Find the area of a triangle in terms of two sides and the included angle. Hence deduce an expression for the area in terms of the sides only. 9. The sides of a quadrilateral... | |
 | 1879 - 636 pages
...Write down the formula for the sine and cosine of any angle of a triangle in terms of the sides. Find the area of a triangle in terms of two sides and the included angle. Hence deduce an expression for the area in terms of the sides only. 9. The sides of a quadrilateral... | |
 | James B. Chalmers - Engineering - 1881 - 468 pages
...GEOMETRY. Section I. — Anharmonic Ratio. I. Princip'e of Signs in Geometry 339 II. Lemma. Expression for the Area of a Triangle in Terms of Two Sides and their included Angle 339 III. Corresponding Points in Two Transversals, cutting the same Pencil of... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...a spherical triangle, show that ,.»5«. ._____, and deduce an expression for the spherical excess of a triangle in terms of two sides and the included angle. (35.) 86. If from one angle A of a spherical triangle an arc of a great circle be drawn, dividing the... | |
 | William John M'Clelland - 1886 - 210 pages
...36 104. — Geometrical methods ; construction for tho spherical excess of a ARTICLE PAGE 105. — Area of a triangle in terms of two sides, and the included angle, 38 106. — Deduction of the area of a circular segment, . . . .39 Examples, .......... 40 107. —... | |
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Formulas for the area of a triangle, in terms of two sides and the included angle ; in terms of one side and the adjacent angles; and in terms of s and the three sides. 
