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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 ... - Página 26
por Abel Flint - 1813 - 168 páginas
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volumen1

Benjamin Martin - 1736 - 362 páginas
...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 páginas
...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 páginas
...* 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 ..., Volumen2

1801 - 658 páginas
...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 Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 464 páginas
...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 páginas
...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 System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1808 - 190 páginas
...gives the greater Angle ACB - 95 00 Subtract, gives the lesser Angle ABC - 48 20 The Side BC maybe found by CASE I or II. CASE IV. The three Sides given...between these Segments, added to half the Sum of the S§gments, that is to half the length of the longest Side, will give the greatest Segment ; and this...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 páginas
...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 páginas
...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 Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - 1817 - 392 páginas
...and the whole triangle into two right angled triangles. Then, 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.* * DEMONSTRATION. Let ABC, Fig. 48,...
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