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" In any right lined triangle, having two unequal sides ; as the less of those sides is to the greater, so is radius to the tangent of an angle ; and as radius is to the tangent of the excess of... "
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Page 68
by Thomas Simpson - 1748 - 77 pages
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Nine Geometricall Exercises: For Young Sea-men, and Others that are Studious ...

William Leybourn - Geometry - 1704 - 436 pages
...the Co-fine of half the Sum of the Sides, Is to the Co fine of half the Difference of the Sides 5 So is the Co- tangent of half the Vertical Angle, To the Tangent of half the Sum of the Angle. COROLLARIES. In any Spherical Triangle, t Tan. f Bafe : Tan. f Sum or the...
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A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - Conic sections - 1844 - 240 pages
...lined triangle, having two unequal sides ; as the less of those sides is to the greater, so is radius to the tangent of an angle ; and as radius is to the tangent of the excess of that angle above half a right angle, so is the tangent of half the sum of...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 440 pages
...48", side, 165.49. RULE 2. 14L .As the less of the two given sides is to the greater, so is radius to the tangent of an angle; and as radius is to the tangent of the excess of this angle above 45°, so is the tangent of the half sum of the opposite angles...
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