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 Bøker Bok 151–160 av 184 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 ## Treatise on Surveying, Del 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,...
Uten tilgangsbegrensning - Om denne boken ## New Plane and Spherical Trigonometry

Webster Wells - 1896 - 126 sider
...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...
Uten tilgangsbegrensning - Om denne boken ## Elements of Plane and Spherical Trigonometry

Charles Winthrop Crockett - 1896 - 295 sider
...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...
Uten tilgangsbegrensning - Om denne boken ## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1896 - 368 sider
...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 =...
Uten tilgangsbegrensning - Om denne boken ## A Treatise on Surveying: Comprising the Theory and the Practice..., Del 1

...are to each other at the opposite sides. THEOREM II.—In every plane triangle, the turn of two rides is to their difference as the tangent of half the sum of the angles opporite those sides is to the tangent of half their difference. THEOBBM HI.—In every plane triangle,...
Uten tilgangsbegrensning - Om denne boken ## Pamphlets in Philology and the Humanities, Volum 2

1897
...the sines of the opposite angles. That is, a : b = sin A : sin B The sum of two sides of a triangle is to their difference as the tangent of half the sum of the angles opposite is to the tangent of half their difference. That is, a -f J : a — I = tan £ ( A + B) :...
Uten tilgangsbegrensning - Om denne boken ## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1902 - 1113 sider
...formulas enable us to transform a sum or difference into a product. The sum of the sines of two angles is to their difference as the tangent of half the sum of those angles is to the tangent of half their difference. sin A + sin K _ 2 sin \^(A + B) cos J£C4...
Uten tilgangsbegrensning - Om denne boken ## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1902 - 1129 sider
...formulœ enable us to transform a sum or difference into a product. The sum of the sines of two angles is to their difference as the tangent of half the sum of those angles is to the tangent of half their difference. sin A + sin В 2 sin ЩА + B) cos WA - B)...
Uten tilgangsbegrensning - Om denne boken ## Plane Trigonometry

James Morford Taylor - 1904 - 171 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 h (1ff their difference. From the law of sines, we have...
Uten tilgangsbegrensning - Om denne boken ## Plane and Spherical Trigonometry

Preston Albert Lambert - 1905 - 98 sider
...B) Since a and b are any two sides of the triangle, in words 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 the difference of these angles. The formula a -H1 _ tan £(A...
Uten tilgangsbegrensning - Om denne boken