An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 37
raight lines in the same plane, showthat (a6ccf) = (a6c) + (afa). Ex. 2. Show also that (aba) = {dhc) + {dcai) + {dab). 35. If A, B, G he any three points on a straight line, andP, Q any other points in the same plane with them,{APQ). BG + {BPQ). GA + {GPQ) .AB = 0.Let X denote the straight line… … A B C This relation may also be written in the forms: {APQ).BG^{BPq).AG + {CPQ).BA (2), {APQ).BC = (BPQ).AG-{GPQ).AB (3). 36. Ex. 1. If A, B, C he any three points on a straight line, x any otherstraight line, and 0 any given point; show that {OBC).Ax+{OCA).Bx+{OAB). Cx=0. Ex. 2. If ABCD be a…
Geometry
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
