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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. "
A System of Practical Mathematics: ... With a Plain Account of the Gregorian ... - Page 224
by John Potter - 1753 - 395 pages
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

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...
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volume 1

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 • • —...
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An introduction to plain trigonometry, with its application to heights and ...

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...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

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...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

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...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

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...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

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,...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

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...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

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...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

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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