 | 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. R. Nicholson. ANALYSIS.... | |
 | John Hamilton Moore - Nautical astronomy - 1810 - 662 pages
...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... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...Rectangle. PROBLEM PROBLEM IX. IN a Triangle, having given the Ratio of the two Sides, together with both the Segments of the Base, made by a Perpendicular from the Vertical Angle ; to determine the Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum... | |
 | 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 - 456 pages
...hence the declination is 23° 9', answering to the llth of June. vu. QUESTION 809, by Mr. John Aspland. Given one side, the difference between the square...by' a perpendicular from the vertical angle, of a plane triangle : to determine the triangle. Answered by Amicus. Produce the given difference AD of... | |
 | Thomas Leybourn - Mathematics - 1817 - 454 pages
...145-592. 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 by a perpendicular from the vertex ; to construct the triangle when the rectangle under the sum and difference of the sides is... | |
 | Thomas Leybourn - Mathematics - 1817 - 442 pages
...sides 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,... | |
 | 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... | |
 | 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 ACN (Fig. i.)... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...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 from the vertex ; to construct the triangle. Let AB be equal to the given difference of the segments of the... | |
| |
In a triangle, having given the ratio of the two* sides, together with both the segments of the base, made by a perpendicular from the vertical angle, to determine the sides of the triangle. 
