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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 Geometry and Trigonometry: Together with a Treatise on Surveying ... - Halaman 32
oleh Abel Flint - 1808 - 168 halaman
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volume 1

Benjamin Martin - 1736 - 362 halaman
...IH 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,...
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A System of Practical Mathematics: ... With a Plain Account of the Gregorian ...

John Potter - 1753 - 568 halaman
...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 - 142 halaman
...* 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

1801 - 658 halaman
...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...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1804 - 226 halaman
...be found by CASE I or II. CASE IV. The three Sides given to find the Angles. Fig. 50. The sojution of this CASE depends on the following PROPOSITION....between these Segments, added to half the Sum of the Segments, that is to half the length of the longest Side, will give the greater Segment ; and this...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 464 halaman
...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...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

Charles Hutton - 1807 - 464 halaman
...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 - 1808 - 470 halaman
...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 Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 halaman
...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 o£ those sides, To the diff. of the segments of the base. Then take half this difference of the segments,...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1813 - 214 halaman
...Subtract, gives the lesser Angle ABC 12 25784 2.62325 9.63459 71°40' 23 20 95 00 48 20 The SideBC may be found by CASE I or II. CASE IV. The three Sides given...between these Segments, added to half the Sum of the Segments, that is to half the length of the longest Side, will give the greatest Segment; and this...
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