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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. "
A treatise on navigation, and nautical astronomy - Page 139
by Edward Riddle - 1824 - 551 pages
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The Student: No. 1-4 (to be Continued Annually Containing Many Curious ...

W. Hilton - Science - 1797 - 308 pages
...Sc'hven. . : : . QUESTION 16. By Mr. Join Brookes. GIVEN the difference of the sides, the difference of the segments of the base made by a perpendicular from the vertical angle, and the radius of the inscribed circle to construct, the triangle. Answered by Mr....
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 1

Thomas Leybourn - Mathematics - 1817 - 442 pages
...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, by fences made...
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volume 4

Thomas Leybourn - Mathematics - 1817 - 454 pages
...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...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1818 - 488 pages
...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 less....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...angles at the base, the ratio of the sides, and the length of a third proportional to the difference of the segments of the base made by a perpendicular from the vertex and the shorter side ; to construct the triangle. 24. Given the base of a right-angled triangle...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...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 - Euclid's Elements - 1819 - 444 pages
...angles at the base, the ratio of the sides, and the length of a third proportional to the difference of the segments of the base made by a perpendicular from the vertex and the shorter side ; to construct the triangle. 24. Given the base of a right-angled triangle;...
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The Elements of Analytical Geometry ...

John Radford Young - Conic sections - 1833 - 310 pages
...the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides 62 = the difference...
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The Elements of Analytical Geometry ...

John Radford Young - Geometry, Analytic - 1835 - 298 pages
...the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides A2 = the difference...
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - Algebra - 1837 - 584 pages
...\/ab, the triangle vanishes; and when d is greater than ^/ab, the data are incongruous. Ex. 5. Given the segments of the base made by a perpendicular from the opposite angle, and the ratio of the remaining sides of a triangle, to find it. BC Let AD = p, DB = q, and — —...
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