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Llibres Llibres 141 - 150 de 193 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 - PÓgina 45
per LefÚbure de Fourcy (M., Louis Etienne) - 1868 - 288 pÓgines
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A Treatise on Trigonometry by Profs. Oliver, Wait and Jones

Cornell University. Department of Mathematics - 1881
...positive or negative direction from the origin used. Тнм. 2. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the two opposite angles is to the tangent of half their difference : 106] ie, (a + b) : (a~b) = tan ┐(A...
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Text Book of Military Topography: Including the Courses of Instruction at ...

William Hamilton Richards - 1883 - 226 pÓgines
...in which two sides and the contained angle are known, and the third side is required. The sum of the two sides is to their difference, as the tangent of half the sum of the angles at the base, to the tangent of half their difference. Let the known sides be / 1076-53 and e 2846-39,...
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The Ohio Educational Monthly and the National Teacher: A Journal ..., Volum 32

1883
...finding the logarithm of a number having four places. 5. Show 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. GENERAL HISTORY. 2. What colonies were...
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - 1883 - 214 pÓgines
...: a : b : с = sin A : sin В : sin С ab с sin A sin В sin O 145. 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. 144, a : b = sin A : sinB Whence,...
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Ohio Educational Monthly, Volum 32

1883
...finding the logarithm of a number having four places. 5. Show 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. GENERAL HISTORY. 1. Before the Greeks,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 512 pÓgines
...principle, now to be demonstrated, viz. : In any plane triangle, the sum of the sides including any 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. Let ABC represent any plane triangle,...
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Trigonometry: Analytical, Plane and Spherical: With Logarithmic Tables

De Volson Wood - 1885 - 237 pÓgines
...This reduced by (66) gives (A + B) . " that is, Tfe SMWI o/" two sides of a plane triangle is to thcir difference, as the tangent of half the sum of the angles opposite is to the tangent of half their difference. To find A + B we. have A + B = 180░ - 0. (78) To find...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...10░, a = 23087, b = 7903.2. (25.) 37. Prove geometrically that the sum of 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. In a triangle ABC, given a = 3, b = 5,...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - 1887 - 151 pÓgines
...be expressed more compactly as follows : , sin Л sin B sin (' 114. 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. Formula (45) of Art. 113 may be put in...
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Trigonometry, Analytical, Plane and Spherical, with Logarithmic Tables

De Volson Wood - 1887
...'-ftThis reduced by (66) gives __ 0-6 tan | (1-5)' that is, The sum of 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. To▀nd A + Б we "have A + Б = 180░ - G. (78) To▀nd...
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