 | Edward Laurence - Logarithms - 1717 - 424 pages
...oppofite Angles, To the Tangent of half their Differtftce. AXIOM IV. A« the Bate, or longeft Side, is to the Sum of the other Sides -, So is the Difference of thofe Sides i To the Difference of the Segments of the Bate. • CASE I. Fig. 6 1. Two Sides , and... | |
 | Mathematics - 1801 - 658 pages
...right-angled triangles j, it will be As the base, or sum of the segments : Is to the sum of the other two sides : : So is the difference of those sides : To the difference of the segments of the base.* Then \ * J)EMON STRATIOH. From one end B of the least side AB, of the triangle ABC, as a centre, and... | |
 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...the angles; RULE. '/s 19 Then, as the base, or sum of its segments, is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base. And half this difference, being added to half the base, will give the greater segment ; and, subtracted... | |
 | Samuel Webber - Mathematics - 1808 - 466 pages
...right-angled triangles ; it will be As the base, or sum of the segments $ Is to tht- sum of the other two sides : : So is the difference of those sides : To the difference of the segments of the hasr.* * DEM0NSTRATI0N. From one end B oi the least side AB, of the triangle ABC, ~ as a centre, and... | |
 | Nicolas Pike - Algebra - 1808 - 470 pages
...— As the base of any triangle (or sum of the segments of the base) is to the sum of the other two sides : so is the difference of • those sides, to the difference of the two segments of the base, made by letting fall a perpendicular to the base from the angle opposite... | |
 | John Gummere - Surveying - 1814 - 398 pages
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • So is the difference of those sides, To the difference of the segments of the base.* * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...tan \ (B — A). PROP. XVI. 16. In any plane triangle it will be, as the base, to the sum of the two other sides, so is the difference of those sides, to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. From the centre c (namely, the vertical angle... | |
 | John Gummere - Surveying - 1817 - 384 pages
...two right angled triangles. Then, As the base, or sum of the segments, Is to the sum of the other two sides ; So is the difference of those sides, ' To the difference of the segments of the base.* * DEMOSSTHATIOS. Let ABC, Fig. 48, be a triangle, and CD be perpendi cular upon AB. About С as a ceñiré... | |
 | John Playfair - 1819 - 354 pages
...base ; the sum of the segments of the bast is to the sum of the other two sides of the triangle as the difference of those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...three sides are given to find the angles. As the base, or longest side, is to the sum of the other two sides, so is the difference of those sides to the difference of the segments of the base, made by a perpendicular from the opposite angle, (Trig. Prop. 7.) Then the half difference added to... | |
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... will be — As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. 
