 | John Harris - Spherical projection - 1706 - 298 pages
...the fecond Axiom. AXIOM IV. The Bafe it to the Sum of the legs :: at the Difference of the Legs is to the Difference of the Segments of the Bafe made by a, Perpendicular let faff from the Angle oppofite to the Bafe. For, there is alfo another Cafe in plain Oblique Triangles,... | |
 | John Ward (of Chester.) - Mathematics - 1747 - 516 pages
...of any $£• Plane Triangle is to the Sum of fs'' \ the Legs, as the Difference of the Legs is to the Difference of the Segments of the Bafe made by...Perpendicular let fall from the Angle oppofite to the Bafe. sDemonfttatton. From the ,/ B, on the Bafe AC, of the Л ABC, let fall the Perpendicular BD ;... | |
 | John Hamilton Moore - Nautical astronomy - 1791 - 578 pages
...the Bafe or greateft Side is to the Sum pf the other two Sides, fo is the Difference of the Sides to the Difference of the Segments of the Bafe, made by...Perpendicular let fall from the Angle oppofite to the Bafe. ' And if hair the Difference of the Segments be added to half {heir Sum, it will give the greater... | |
 | John Hamilton Moore - Nautical astronomy - 1807 - 586 pages
...fum of the other two fides, .'n is the difference of thofe fides To the difference of the fegments of the bafe made by a perpendicular, let fall from the angle oppofite the bafc. And half the difference of the fegments added to half their fum will give the preater ferment,... | |
 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...be to the tangent of half the sum of the other two sides, as the tangent of half their difference is to the tangent of half the difference of the segments of the base; that is, tan. | (BD + AD) : tan. | (BC + AC) : : tan. | (BC -. AC) : tan. \ (BD - AD). M Because... | |
 | Science - 1821 - 520 pages
...base is to the tangent of half the sum. of the sides, so is the tangent of half the difference of the sides to the tangent of half the difference of the segments of the base; which half difference being added to half the base, gives the greater segment, but being subtracted... | |
 | William Galbraith - Astronomy - 1827 - 412 pages
...tangent of half the sum of the two sides of the triangle, as the tangent of half the difference of those sides to the tangent of half the difference of the segments of the base, or tan. £ (BD + CD) : tan. £ (AB + BC) : : tan. \ (AB ел АС) : tan. A (BDcrCD). When the... | |
 | William Galbraith - Astronomy - 1834 - 454 pages
...tangent of half the sum of the two sides of the triangle, as the tangent of half the difference of those sides to the tangent of half the difference of the segments of the base, or tan \ (BD + CD) : tan £ (AB + BC) : : tan \ (AB<» AC) : tan £ (BD<» CD). When the three... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...to the tangent of half the sum of the sides, as the tangent of half the difference of the sides is to the tangent of half the difference of the segments of the base. Let ABC be any spherical triangle, and let CD be drawn from C perpendicular to the base AB ;... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...to the tangent of half the sum of the sides, as the tangent of half the difference of the sides is to the tangent of half the difference of the segments of the base. Let ABC be any spherical triangle, and let CD be drawn from C perpendicular to the base AB ;... | |
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If, from an angle of a spherical triangle, there be drawn a perpendicular to the opposite side or base, the tangent of half the sum of the segments of the base is to the tangent of half the sum of the... 