Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 16
hesis. -,. -j. BG dividing, ——& BD BG GC. DC BDDC* or, by alternation, QC QC /. G coincides with D. (O.H.S. Geometry, § 121.).. D. E, F are collinear. THEOREMS OF MENELAUS AND CEVA 6 3. Cevas Theorem:—If from the vertices of atriangle concurrent straight lines be drawn to cutthe opposite sides,… … AO, BO, CO drawn from the vertices of A ABCcut BC, CA, AB, at D, E, F respectively, thenAF . BD . CE = FB . DC . EA. FOC is a transversal of A ABD, .-. AF . BC . DO = FB . CD . OA. (§ 1.) BOE is a transversal of A ADC,/. AO . DB. CE = OD . BC . EA. By multiplication, and division by DO, OA and…
Geometry · Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
