 | John Harris - 1706 - 298 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...* 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... | |
 | Abel Flint - 1804 - 226 σελίδες
...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 σελίδες
...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...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... | |
 | Charles Hutton - 1807 - 464 σελίδες
...whole 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... | |
 | Nicolas Pike - 1808 - 470 σελίδες
...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 - 1808 - 190 σελίδες
...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 - 1811 - 442 σελίδες
...segments, and the whole triangle into two right-angled triangles : then the proportion will be, As As the base, or sum of the segments, Is to the sum...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... | |
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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. 
