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 Bøker Bok 161–170 av 183 på C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides... C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. The Young Mathematician's Guide: Being a Plain and Easy Introduction to the ... - Side 479
av John Ward - 1771 - 480 sider
Uten tilgangsbegrensning - Om denne boken ## Plane and Spherical Trigonometry

James Morford Taylor - 1905 - 234 sider
...one of which is the law of tangents below. Law of tangents. The sum of any two sides of a triangle is to their difference as the tangent of half the sum of their opposite angles is to the tangent of half their difference. From the law of sines, we have By...
Uten tilgangsbegrensning - Om denne boken ## Plane Trigonometry

1906 - 188 sider
...formulas are derived in Appendix ll. 20. Principle of Tangents. — The sum of any two sides of a triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. That is (Fig. 6), ab tan i (A - B) The...
Uten tilgangsbegrensning - Om denne boken ## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

...formulas are derived in Appendix II. 20. Principle of Tangents. — The sum of any two sides of a triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. That is (Fig. 6), a + d _ ta a - b ~ tan...
Uten tilgangsbegrensning - Om denne boken ## Plane Trigonometry

Fletcher Durell - 1910 - 184 sider
...sin В 107 TRIGONOMETRY 75. Law of Tangents in a triangle. In any triangle the sum of any two sides is to their difference as the tangent of half the sum of the angles opposite the given sides is to the tangent of half the difference of these angles. In a triangle ABC...
Uten tilgangsbegrensning - Om denne boken ## PLANE TRIGONOMETRY

FLETCHER DURELL - 1911
...107 sin C' TRIGONOMETRY 75. Law of Tangents in a triangle. In any triangle the sum of any two sides is to their difference as the tangent of half the sum of the angles opposite the given sides is to the tangent of half the difference of these angles. In a triangle ABC...
Uten tilgangsbegrensning - Om denne boken ## Plane and Sperical Trigonometry, with Five-place Tables: A Text-book for ...

Robert Edouard Moritz - 1913 - 453 sider
...c- a tan 5 (С - Л) Formulas (7) embody the Law of tangents: In any triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite is to the tangent of half their difference. The formulas (6), which we shall have occasion...
Uten tilgangsbegrensning - Om denne boken ## Elementary mathematical analysis: a text book for first year college students

Charles Sumner Slichter - 1914 - 490 sider
...- C) c + a tan KC + A) c - a tan i(C - A) Expressed in words: In any triangle, the sum of two sides is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half of their difference. GEOMETRICAL PROOP: From any vertex of the triangle...
Uten tilgangsbegrensning - Om denne boken ## PLANE TRIGONOMETRY WITH TABLES

CLAUDE IRWIN PALMER - 1914
...logarithms the following theorem is needed: TANGENT THEOREM. In any triangle the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. „ „ a sin a: f . ,, Proof. T = - —...
Uten tilgangsbegrensning - Om denne boken ## Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 sider
...logarithms the following theorem is needed: TANGENT THEOREM. In any triangle the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. a sina Proof. r = -. — -, from sine theorem....
Uten tilgangsbegrensning - Om denne boken ## Elements of Trigonometry: With Tables

William Charles Brenke - 1917 - 160 sider
...twice their product by the cosine of their included angle. Law of Tangents. — The sum of two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. Half Angles. — The sine of half an angle...
Uten tilgangsbegrensning - Om denne boken