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Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 305
by Miles Bland - 1819 - 377 pages
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - Nautical astronomy - 1810 - 336 pages
...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...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...triangle it will be, 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 made by a perpendicular let fall from the vertical angle. From the centre c (namely, the vertical angle of the triangle ABC)...
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 4

Thomas Leybourn - Mathematics - 1817
...QUESTION 1242, by Mr. John Dewhurst, Blackburn. Given the difference of the angles at the base, and the difference of the segments of the base, made by a perpendicular from the vertex ; to construct the triangle when the rectangle under the sum and difference of the sides is a maximum....
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 1

Thomas Leybourn - Mathematics - 1817 - 840 pages
...is 96 chains ; ^ of the base or longest side is just equal to tiie difference of the other two ; and the difference of the segments of the base made by a perpendicular from the opposite angle is 2, chains less than the shortest side. The land is to be divided amongst three men,...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 438 pages
...I. As the longest side, taken as a base : sum of the other two sides : : difference of those sides : difference of the segments of the base, made by a perpendicular from the opposite ^ . the greater segment, or that next the greater side ; . and subtracted from it, gives the...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819
...given circle to inscribe a triangle, such that the difference of its sides shall be in a given ratio to the difference of the segments of the base made by a perpendicular from the vertical angle ; and the prism, whose base is the triangle and altitude the said perpendicular a maximum....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 377 pages
...perpendiculars. (17.) Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular J'rom the vertex ; to construct the triangle. Let AB be equal to the given difference of the segments...
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New series of The mathematical repository, Volume 4

Thomas Leybourn - Mathematics - 1819
...required triangle. XXJ. Given the diameter of the circumscribing circle, ratio of the sides, and ratio of the segments of the base made by a perpendicular from the vertical angle, to construct the plane triangle. Let ACN (Fig. i.) represent the required triangle;...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...the sum of HDF and £/)//, ie to EDF, or the given difference. Also FG : GH :: FG : GF :: AC : CB, ie in the given ratio. (23.) Given the difference of...the given ratio of the sides. Join AC; and produce BCto D, so that BD may be to the given third proportional in the ratio CA : CB. Through D draw EDF...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 12

...the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the angle opposite to the base : and if half the difference of the 12.02862 9.86786 2.16076...
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