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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 - Σελίδα 139
των Edward Riddle - 1824 - 551 σελίδες
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The Student: No. 1-4 (to be Continued Annually Containing Many Curious ...

W. Hilton - 1797 - 308 σελίδες
...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....

The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., Τόμος 1

Thomas Leybourn - 1817 - 442 σελίδες
...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...

The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., Τόμος 4

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

John Bonnycastle - 1818 - 488 σελίδες
...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....

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 σελίδες
...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...

New Series of The Mathematical Repository, Τόμος 4

Thomas Leybourn - 1819 - 430 σελίδες
...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;...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 σελίδες
...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;...

The Elements of Analytical Geometry ...

John Radford Young - 1833 - 310 σελίδες
...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...

The Elements of Analytical Geometry ...

John Radford Young - 1835 - 298 σελίδες
...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...

The Elements of Algebra: Designed for the Use of Students in the University

John Hind - 1837 - 584 σελίδες
...\/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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