| John Harris - Geometry - 1706 - 253 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... | |
| Benjamin Martin - Mathematics - 1736 - 360 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... | |
| John Potter - Mathematics - 1753 - 395 pages
...unknown Angles. Rule 3. When the three Sides are given to find the Angles. As the Bafe of any Triangle **Is to the Sum of the other two Sides, So is the Difference of** thofe Sides To the Difference of the two Segments of the Bafe, made by Jetting fall a Perpendicular... | |
| Richard Cockrel - 1792 - 146 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... | |
| Mathematics - 1801 - 658 pages
...segments, and the 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 :...: 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... | |
| Abel Flint - Geometry - 1804 - 216 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... | |
| Charles Hutton - Mathematics - 1807
...triangle into 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, and add it to the... | |
| Samuel Webber - Mathematics - 1808 - 470 pages
...triangle into two 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...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 - 468 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 to the base from the angle opposite... | |
| Abel Flint - Geometry - 1808 - 192 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... | |
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