An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 82
o, m : n. Showthat the median point of the triangle PQR divides the line joining the medianpoints of the triangles ABC, ABC in the ratio m : n. 115. The perpendiculars from the vertices of a triangle onthe opposite sides meet in a point (§ 90, Ex. 2), which is calledthe orthocentre of the triangle.… … Ex. 1. Show that if AP, BQ, CR be the perpendiculars on the sides ofthe triangle ABC, QR will be antiparallel to BC. Ex. 2. Show that the circles circumscribing the triangles BOC, COA,AOB, ABC are equal. Ex. 3. Show that the triangles AQR, PBR, PQC are each similar to thetriangle ABC. Ex. 4. Show…
Geometry
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
