 | W. Hilton - Science - 1797 - 308 pages
...Elliott, and 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.... | |
 | John Hamilton Moore - Nautical astronomy - 1810 - 662 pages
...As the greatest aide Is to the sum of the oilier two Ģides, 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 Ģids BA 88, BC 54, AC 1 08, given t;i find the angles... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 276 pages
...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)... | |
 | Thomas Leybourn - Mathematics - 1817 - 454 pages
...IT. 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...perpendicular from the vertex ; to construct the triangle when the rectangle under the sum and difference of the sides is a maximum. Answered by Mr. Wm. Burdon,... | |
 | Thomas Leybourn - Mathematics - 1817 - 456 pages
...Aspland. Given one side, 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 plane triangle : to determine the triangle. Answered by Amicus. Produce the given... | |
 | John Bonnycastle - Trigonometry - 1818 - 488 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... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...were made equal to the given 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... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...difference of the 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. Let ABC be equal to the given difference of the angles... | |
 | Thomas Leybourn - Mathematics - 1819 - 430 pages
...properties upon which the constructions are founded. XVIII. Given the diameter of the circumscribing circle, the difference of the segments of the base made by a perpendicular from the vertical angle, -and the ratio of the other two sides to construct the plane triangle. Let the triangle... | |
 | 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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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. 
