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" That is to say, we cannot express the area of a triangle in terms of two sides and the included angle... "
The Teaching of Algebra (including Trigonometry) - 262. lappuse
autors: Sir Thomas Percy Nunn - 1919 - 616 lapas
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Pure mathematics, 1. sējums

Edward Atkins - 1874
...result we have also — A ABC = iacsinB (2). and A ABC = J 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 = J ab sin C, or, by last...
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - 1886
....75 § 70. Formulas for tan JA, tan JB, and tan JC, in terms of s, a, b, and c 76 § 77. 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 . 77 § 78. Formula...
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The Elements of Plane Trigonometry

Henry Nathan Wheeler - 1876
...,* (s — 6)(s — c) = + - - ji-± — r— ^ ' \ s (s — a) s (s — 6) [74] § 77. 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. FIG. 46. From...
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Parliamentary Papers, 22. sējums

Great Britain. Parliament. House of Commons - 1879
...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...
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Report of Her Majesty's Civil Service Commissioners: Together ..., 23. sējums

1879
...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...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882
...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...
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A treatise on spherical trigonometry, by W.J. M'Clelland and T. Preston, 2. daļa

William John M'Clelland - 1886
...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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Annual Report of the Chief Superintendent of Education

1891
...angle of a triangle. Explain how the other parts are to be found. 4. Prove the formula which expresses the area of a triangle in terms of two sides and the included angle. 5. One of the equal angles of an isosceles triangle is 75° and the side opposite is 20 feet, find...
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Annual Report of the Department of Education

New Brunswick. Department of Education - 1893
...of a triangle. Explain how the other parts are to be found. '• Prove the formula which expresses the area of a triangle in terms of two sides and the included angle. •5. One of the equal angles of an isosceles triangle is 75° and the side opposite is 20 feet, find...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1893
...angle of a triangle. Explain how the other parts are to be found, i. Prove the formula which expresses the area of a triangle in terms of two sides and the included angle. 5. One of the equal angles of an isosceles triangle is 75° and the side opposite is "20 feet, find...
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