| 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... | |
| 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)... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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.... | |
| 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... | |
| 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;... | |
| 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... | |
| William Nicholson - Natural history - 1821
...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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