 ... 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.  Mathematics for practical men - Page 156by Olinthus Gilbert Gregory - 1848 - 80 pagesFull view - About this book
 | 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... | |
 | 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
...the longest of the three sides as base, then say, conformably with chap. ii. prop, 16. As the base, To the sum of the two other sides ; So is the difference...into two, each of which falls under the first case. 2d Method. Find any one of the angles by means of prop. 17, of the preceding chapter; and the remaining... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...BC :: tan i (B + A) : 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...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... | |
 | Arithmetic - 1829 - 196 pages
...after the FOLLOWING MANNER : 349 a. As the WHOLE BASE : is to the BUM OF THE TWO SHOBTEI •iiDEB : : so is the DIFFERENCE of those sides : to the DIFFERENCE OF THE * The longest side of a triangle is usually called the hase, except in a right an glcd triangle, where... | |
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