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 Llibres Llibres 181 - 187 de 187 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 - Pągina 45
per Lefébure de Fourcy (M., Louis Etienne) - 1868 - 288 pągines
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## Plane and Spherical Trigonometry

Claude Irwin Palmer, Charles Wilbur Leigh - 1916 - 188 pągines
...solution by logarithms the following theorem is needed: TANGENT THEOREM. 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. a sina Proof. r = -. — -, from sine theorem....
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## Elements of Trigonometry: With Tables

William Charles Brenke - 1917 - 160 pągines
...other two sides minus twice their product by the cosine of their included angle. Law of Tangents. — 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 difference. Half Angles. — The sine of half an angle...
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## A Complete Epitome of Practical Navigation, and Nautical Astronomy ...

John William Norie, J. W. Saul - 1917 - 595 pągines
...+ b : a — b : : tan. r (A + B) : tan. X (A - B) 2 2 The above result may be enunciated thus— ^ The sum of two sides is to their difference as the tangent of half the sun of their opposite angles is to the tangent of half their difference. By combining the last two...
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## Mathematics for Collegiate Students of Agriculture and General Science

Alfred Monroe Kenyon, William Vernon Lovitt - 1917 - 357 pągines
...sides arid the included angle are given. 101. 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 half their difference. From the law of sines, we have a...
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## PLANE AND SPEHRICAL TRIGONOMETRY

LEONARD M. PASSANO - 1918
...sin В cannot be greater than unity. 54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides is to their difference...the tangent of half the sum of the angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b = sin A : sin B....
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## Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 141 pągines
...sin B cannot be greater than unity. 54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides is to their difference...the tangent of half the sum of the angles opposite the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b = sin A : sin B....
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## Plane and Spherical Trigonometry

Leonard Magruder Passano - 1918 - 141 pągines
...sin B cannot be greater than unity. 54. Case III may be solved by means of the theorem following : In any triangle the sum of two sides is to their difference as the tangent of half the sum of the angles opposlte the two sides is to the tangent of half their difference. Proof : By Art. 51 a : b = sin A...
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