 | W. Hilton - 1797 - 308 Seiten
...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 - 1810 - 662 Seiten
...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 - 1816 - 278 Seiten
...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 - 1817 - 454 Seiten
...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 - 1817 - 442 Seiten
...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 - 1818 - 488 Seiten
...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 - 1819 - 430 Seiten
...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 - 1819 - 444 Seiten
...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 - 1819 - 430 Seiten
...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 - 1821 - 898 Seiten
...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... | |
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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. 
