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" In any plane triangle, the sum of tfte two sides containing either angle, is to their difference, as the tangent of half the sum of the other two angles, to the tangent of half their difference. "
Elements of Plain and Spherical Trigonometry: Together with the Principles ... - Page 35
by John Harris - 1706 - 253 pages
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Navigation New Modelled

Henry Wilson - Navigation - 1761 - 580 pages
...I, AXIOM III. In all Triangles, as tlie Sum of the Leg"; of any Angle is to their Difference, fo is the Tangent of half the Sum of the other two Angles, to the Tangent of half their Difle^ rencc; and therefore, When there are given two Sides, and ah Angle included, to find the other...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...In any plane triangle, the sum of tfte two sides containing either angle, is to their difference, as the tangent of half the sum of the other two angles, to the tangent of half their difference. Let ABC (PI. I. Fig. 3) be a triangle ; then, AC+AB : AB— AC :: tang. 4(C+B) : tang. {(C— B). With...
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Elements of Surveying: With the Necessary Tables

Charles Davies - Surveying - 1830 - 318 pages
...ike sum of the two sides containing either angle, is to their difference, as the tangent of half tfte sum of the other two angles, to the tangent of half their difference. .Let ABC (PI. I. Fig. 3) be a triangle ; then, AC+AB : AB— AC :: tang. i(C+B) : tang.|(C— B). With...
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