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 Llibres Llibres 151 - 160 de 191 sobre 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. A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ... - Pàgina 66
per Jeremiah Day - 1815 - 126 pàgines
Visualització completa - Sobre aquest llibre ## A Treatise on Mine-surveying

Bennett Hooper Brough - 1888 - 302 pàgines
...is required to find the two other angles, and the third side. In this case, the sum of the two sides is to their difference, as the tangent of half the sum of the two unknown angles is to the tangent of half their difference. Half their difference thus found, added...
Visualització completa - Sobre aquest llibre ## Elementary Trigonometry, Plane and Spherical

Edwin Pliny Seaver - 1889 - 284 pàgines
...sin AI b =2 R sin B \ ........  с =2 Л sin С i 179. The sum of two sides of a plane triangle is to their difference as the tangent of half the sum of the opposite anyles is to the tangent of half their difference. ANALYTIC PROOF. The first two equations...
Visualització completa - Sobre aquest llibre ## Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - 1892 - 172 pàgines
...provided the right order is maintained. 57. Law of Tangents. — 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. By Art. 55, a : b = sin A : sin B. By composition...
Visualització completa - Sobre aquest llibre ## A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 368 pàgines
...provided the right order is maintained. 97. Law of Tangents. — 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. By Art. 95, a : b = sin A : sin B. By composition...
Visualització completa - Sobre aquest llibre ## A Treatise on Plane and Spherical Trigonometry

Ephraim Miller - 1894 - 193 pàgines
...c. In like manner the others may be obtained. 64. THEORKM IV. In any triangle, 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 differenve. From the fundamental formulae , sin...
Visualització completa - Sobre aquest llibre ## Plane and Spherical Trigonometry

Alfred Hix Welsh - 1894 - 206 pàgines
...CB - AB : : tan ^ (A + Cf) : tan £ (A - C). Hence, 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. Scholium. — The half difference added...
Visualització completa - Sobre aquest llibre ## New Plane and Spherical Trigonometry

Webster Wells - 1896 - 126 pàgines
...B : sin C, (48) and с : a = sin С : sin A. (49) 108. /n a»?/ 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. By (47), a : b = sin A : sin B. Whence...
Visualització completa - Sobre aquest llibre ## Elements of Plane and Spherical Trigonometry

Charles Winthrop Crockett - 1896 - 295 pàgines
...Two Sides and the Included Angle (b, c, a) . First Method. — 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. For we have b _ sin ß с sin y By composition...
Visualització completa - Sobre aquest llibre ## Treatise on Surveying, Part 1

...to each other as the opposite sides. THEOREM H. — In every plane triangle, the sum of two sides u to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference. TE1EOBEM III. — In every plnne triangle,...
Visualització completa - Sobre aquest llibre ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1896 - 368 pàgines
...proposition is therefore general in its application.* 118. The sum of any two sides of a plane triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. For, by the preceding article, a : b =...
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