 | John Harris - 1706 - 298 lapas
...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 - 1736 - 362 lapas
...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 - 1753 - 568 lapas
...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 - 142 lapas
...* 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... | |
 | 1801 - 658 lapas
...dividing it into two 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...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... | |
 | Abel Flint - 1804 - 226 lapas
...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 - 1806 - 464 lapas
...m. When the 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 half the base, will... | |
 | Nicolas Pike - 1808 - 470 lapas
...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... | |
 | Samuel Webber - 1808 - 466 lapas
...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 of those sides : To the difference of the segments of the hasr.* * DEM0NSTRATI0N. From one end B oi the least side AB, of the... | |
 | Abel Flint - 1808 - 190 lapas
...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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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. 
