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Bøker Bok 110 av 37As the base or sum of the segments Is to the sum of the other two sides, So is the...
" 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 ... - Side 34
av Abel Flint - 1804 - 168 sider
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The Young Trigonometer's Compleat Guide: Being the Mystery and ..., Volum 1

Benjamin Martin - 1736 - 328 sider
...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 - 395 sider
...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 - 99 sider
...* 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 ..., Volum 2

1801 - 426 sider
...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 - 419 sider
...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 ..., Volum 2

Charles Hutton - 1807
...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 - 168 sider
...maybe found by CASE I or II. CASE IV. The three Sides given to find the Angles. Fig. 50. The solution of this CASE depends on the following PROPOSITION.....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 - 480 sider
...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
...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 - 206 sider
...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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