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" 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. "
The Field Engineer: A Handy Book of Practice in the Survey, Location, and ... - Página 13
por William Findlay Shunk - 1908 - 345 páginas
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volumen2

1801 - 426 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...: 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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The Mathematical Correspondent: Containing, New Elucidations ..., Volumen1

George Baron - 1804
...Baltimore. In a plane rectilineal triangle are given the rectangle of the two sides, the rectangle of the segments of the base made by a perpendicular let fall from the vertical angle, and the area; to find the sides of the triangle by a more elegant method than that used by Mr. Emerson...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 419 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...sides to the difference of the segments of the base. And half this difference, being added to half the base, will give the greater segment ; and, subtracted...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volumen2

Isaac Dalby - 1806
...peri motet of a rectangle = p, and its diagonal =: d ; whar are the sides ? 30. If S and *• denote the segments of the base made by a perpendicular let fall from the vertical angle of a triangle, and r = the rectarcile under the two sides containing that angle; what \a the perpendicular...
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Mathematics, Volumen1

Samuel Webber - 1808
...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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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - 1810 - 336 páginas
...will be, As the greatest aide Is to the sum of the oilier two «ides, So is the difference of thoac sides To the difference of the segments of the base made by a perpendicular, let (all from the angle opposite the base. The «ids BA 88, BC 54, AC 1 08, given t;i find the angles ABC,...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 346 páginas
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • So is the difference of those sides, To the difference of the segments of the base.* * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 244 páginas
...(B — A). PROP. XVI. 16. In any plane triangle it will be, as the base, to the sum of the two other sides, so is the difference of those sides, to the...a perpendicular let fall from the vertical angle. From the centre c (namely, the vertical angle of the triangle ABC) with the distance of the greater...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 244 páginas
...sides as base, then say, conformably with chap. ii. prop, 16. As the base, To the sum of the two other sides ; So is the difference of those sides, To the difference of the segments of the base. Half the base added to the said difference, gives the greater segment, and made less by it gives the...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - 1817 - 206 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...sides, To the difference of the segments of the base.* * DEMONSTRATION. Let ABC, Fig. 48, be a triangle, and CD be perpendicular upon AB. About C as a centre...
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