Inicia la sessió
 Llibres Llibres In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. In any plane triangle, the sum of any two sides is to their difference as the tangent of... Elements of Trigonometry, Plane and Spherical - Pàgina 43
per Lefébure de Fourcy (M., Louis Etienne) - 1868 - 288 pàgines
Visualització completa - Sobre aquest llibre ## Treatise on Surveying

William Mitchell Gillespie - 1896 - 676 pàgines
...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 ## 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 ## 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 =...
Visualització completa - Sobre aquest llibre ## A Treatise on Surveying: Comprising the Theory and the Practice, Volum 1

...triangle, the sines of the angles are to each other a& the opposite sides. THEOREM II. — In every plane triangle, the sum of two sides is to their difference...the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference. THEOREM III. — In eve.ry plane triangle,...
Visualització completa - Sobre aquest llibre ## 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) : tan | ( A...
Visualització completa - Sobre aquest llibre ## A Treatise on Surveying: Comprising the Theory and the Practice..., Part 1

...to each other at the opposite sides. THEOREM II. — In every plane triangle, the sum of two tides is to their difference as the tangent of half the sum of the angles opposite those tides is to the tangent of half their difference. THEOREM III. — In every plane triangle, the...
Visualització completa - Sobre aquest llibre ## A Treatise on Surveying: Comprising the Theory and the Practice..., Part 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,...
Visualització completa - Sobre aquest llibre ## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1907 - 1129 pàgines
...Theorem 1. The sines of the angles are proportional to the opposite sides. Theorem 2. 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. Theorem 3. If from any angle of a triangle...
Visualització completa - Sobre aquest llibre ## The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - 1902 - 1113 pàgines
...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...
Visualització completa - Sobre aquest llibre ## Plane Trigonometry

James Morford Taylor - 1904 - 171 pàgines
...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...
Visualització completa - Sobre aquest llibre