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 Llibres Llibres 111 - 120 de 194 sobre In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions.... 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 45
per Lefébure de Fourcy (M., Louis Etienne) - 1868 - 288 pàgines
Visualització completa - Sobre aquest llibre ## Annual Report and Documents of the New York Institution for the Instruction ...

1871
...(CB); whence we have the principle. When two sides and their included angles are given : The sum of the two sides is to their difference as the tangent of half the sum of the other two angles is to the tangent of half their difference. This young man also worked out a problem...
Visualització completa - Sobre aquest llibre ## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 pàgines
...^(A+B) . sin. A-sin. B~sin. ^(AB) cos- ^(A+B)~tang. ^(AB) ' that is, The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference. COS f*fvt Dividing formula (3) by (4), and considering...
Visualització completa - Sobre aquest llibre ## Elements of Trigonometry, Plane and Spherical

Edward Olney - 1872 - 201 pàgines
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— Tlie sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. DEM. — Letting a and b represent any two sides of a plane...
Visualització completa - Sobre aquest llibre ## A Treatise on Special, Or Elementary Geometry

Edward Olney - 1872 - 239 pàgines
...horizontal parallax. PLANE TRIGONOMETRY. 80. Ргор.— The sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. ( DEM. — Letting a and b represent any two sides of a...
Visualització completa - Sobre aquest llibre ## A Treatise on Special Or Elementary Geometry, Volums 1-2

Edward Olney - 1872
...horizontal parallax. PLANE TRIGONOMETRY. 86. Prop.— TJie sum of any two sides of a plane triangle is to their difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. 1 >K\r. — Letting a and b represent any two sides of...
Visualització completa - Sobre aquest llibre ## An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 238 pàgines
...have the same sine, and BD = a sin. BCD = a sin. C (41) B 102. 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. Let ABC (Art. 103) be a plane triangle...
Visualització completa - Sobre aquest llibre ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 pàgines
...have the following principle : In any plane triangle, the sum of the sides including either angle, is to their difference, as the tangent of half the sum of the two other angles, is to the tangent of half their difference. The half sum of the angles may be found...
Visualització completa - Sobre aquest llibre ## Annual Report of the School Committee of the City of Boston

...proportional to the sines of the opposite angles. III. Prove that 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. IV. In a triangle the side AB = 532. "...
Visualització completa - Sobre aquest llibre ## Documents of the Assembly of the State of New York, Volum 96,Edició 2

...(CB); whence we have the principle. When two sides and their included angles are given : The sum of the two sides is to their difference as the tangent of half the sum of the other two angles is to. the tangent of half their difference. This young man also worked out a problem...
Visualització completa - Sobre aquest llibre ## Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1864 - 490 pàgines
...tan \(A + B) : tan \(A — B). Hence, In any plane triangle, the sum of the sides including an angle is to their difference as the tangent of half the sum of the other tiuo angles is to the tangent of half their difference. We find from the proportion, the equation...
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