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" ... fo is the tangent of half the vertical angle, to the tangent of the angle which the perpendicular CD makes with the line CF, bifcding the vertical The Solution of the Cafes of righl-angled fpfierical Triangles, (Fig. "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Side 33
av Thomas Simpson - 1799 - 79 sider
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A Key to the Modern Sliding-rule: Containing the Description and Exlpanation ...

William Flower - 1768 - 276 sider
...point from the middle of the bafe. TbeoretQ VII. In any fpberic triangle it will be, as the cotangent of half the fum of the angles, at ' the bafe is to...to the tangent of the angle which the perpendicular makes with the line bifeftivg the vertical angle. NB Any three parts of any oblique angled fpberical...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 sider
...cotangent of half the fum of the *- angles at the bafet is to the tangent of half their difference, at the tangent of half the vertical angle to the tangent of the angle that the perpendicular makes with the line bifetling the vertical angle. Let BDC be the triangle, and...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 326 sider
...cotangent of half thefum of the * angles at the bafe, is to the tangent of half their difference ; as the tangent of half the vertical angle to the tangent of the angle that the perpendicular makes tuith the line bifecling the vertical angle. Let BDC be the triangle,...
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Encyclopædia Britannica: Or, A Dictionary of Arts, Sciences ..., Volum 18,Del 2

Colin Macfarquhar, George Gleig - 1797 - 636 sider
...the co-tangent of half the fum of the angles at the bafe is te the tangent of half theirdifference, fo is "the tangent of half the vertical angle to the...which the perpendicular CD makes with the line CF biiecting the vertical angle. 'The Solution of the CASES of right-angled fpherical Triangles, (fig....
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The Accomplished Tutor: Or, Complete System of Liberal Education ...

Thomas Hodson - 1802 - 556 sider
...from the middle of the bafe. Theorem VI. In any fpherical triangle ABC, (fig. i*,) As the cotangent of half the fum of the angles at the bafe, is to the...which the perpendicular CD makes with the line CF, bifcding the vertical The Solution of the Cafes of righl-angled fpfierical Triangles, (Fig. II.) \OTI....
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The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volum 2

Thomas Hodson - 1806 - 488 sider
...angles at the bafe, is to the tangent of half their difference, fo is the tangent of half the vertii cal angle, to the tangent of the angle which the perpendicular CD makes with the line CF, bifefling the vertical angle. 4 77* The Solution of the Cafes of right-angled fpherical Triangles,...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 12

William Nicholson - 1821 - 356 sider
...co-tangent of half the sum of the angles at the case is to the tangent of half their difference, so is the tangent of half the vertical angle to the tangent...which the perpendicular CD makes with the line CF, bisecting the vertical angle. The following propositions and remarks concerning spherical triangles...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 12

William Nicholson - 1821 - 356 sider
...co-tangent of half the sum of the angles at the base is to the tangent of half their difference, so is the tangent of half the vertical angle to the tangent...which the perpendicular CD makes with the line CF, bisecting the vertical angle. The following propositions and remarks concerning spherical triangles...
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A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - 1844 - 234 sider
...cotangent of half the sum of the angles at the base is to the tangent of half their difference, so is the tangent of half the vertical angle to the tangent of the angle formed by the perpendicular and the arc bisecting the vertical angle. Let ABC be the triangle, CD the...
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