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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 Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page 17
by John Bonnycastle - 1806 - 419 pages
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Elements of Plain and Spherical Trigonometry: Together with the Principles ...

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

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...
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A System of Practical Mathematics: ... With a Plain Account of the Gregorian ...

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

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

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

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

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...
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Mathematics, Volume 1

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

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

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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