| John Harris - Spherical projection - 1706 - 298 pages
...Perpendicular from any Angle to its oppofite Side as ap ; and then. fay, As the Side dc is to da, -\- a. c the Sum of the other two Sides : : So is the Difference of thofe two Sides da — a. c to a fourth Number. Half of which added to \ dc, gives you the Segment of the... | |
| Benjamin Martin - Mathematics - 1736 - 362 pages
...HG : HG EG :ED. EG : ED. X>. £. D. Theorem- XXX. In any plain Triangle, as the Bafe or Icngeft Side is to the Sum of the other two Sides ; So is the Difference of thofe Sides, to the Difference of the Segments of the Bafe. Demouftration. In the Triangle > GBD, the Bafe or longeft Side is • • —... | |
| Richard Cockrel - 1792 - 142 pages
...* t a"1 *. f • V" I w *» : tL *. . i.fc. * . . ' . _ ^.s. .~.n ". As the Bafe or largeft Slot ' Is to the Sum of the other two Sides So is the Difference 'of thofe Sides To the Difference oif"th"d Segments of the Bale, made by a Perpendicular let fall from the vertical Angle upon the/iaid... | |
| Mathematics - 1801 - 658 pages
...whole triangle iuto two 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... | |
| Abel Flint - Surveying - 1804 - 226 pages
...sojution of this CASE depends on the following PROPOSITION. In every Plane Triangle, As the longest side ; Is to the Sum of the other two Sides ; So is the Difference between those two Sides ; To the Difference between the Segments of the longest Side, made by a Perpendicular... | |
| John Bonnycastle - Trigonometry - 1806 - 464 pages
...three sides are given, to find 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... | |
| Charles Hutton - Mathematics - 1807 - 464 pages
...two right-angled triangles : then the; proportion will be, As As the "base, or sums of the segments, Is to the sum of the other two sides; So is the difference of those sides, To the diff. of the segments of the base. Then take half this difference of the segments,... | |
| Nicolas Pike - Algebra - 1808 - 470 pages
...given, to find tlx Angles. RULE 3. — 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... | |
| Abel Flint - Surveying - 1808 - 190 pages
...of this CASE depends on the following PROPOSITION.. In every Plane Triangle, As the longest side ; Is to the Sum of the other two Sides ; So is the Difference between those two Sides ; To the Difference between the Segments of the longest Side, made by a Perpendicular... | |
| Charles Hutton - Mathematics - 1811 - 442 pages
...into two right-angled triangles : then the proportion will be, As 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 diff. of the segments of the base. Then take half this difference of the segments,... | |
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