Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 157
gate the one to the other%since if we take any point G on a finite straight line AB and pro-duce it so that AG : GB :: AD : DB, the position of the point Ddepends upon that of (7. 164. If any transversal cut a pencil of four rays, theratio of the rectangle under the whole transversal and itsmiddle… … Through C draw EGF parallel to the extreme ray AO, anddraw any line LMN also parallel to AO. 164.] AND IN MODERN GEOMETRY. 129 Because the triangles CBE and ABO are similar, thereforeBC : AB :: EC : AO, and because CF is parallel to AO,therefore AD : DC :: AO : CF. Therefore, compounding these two…
Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
