An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)
Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 235
and 3. Thus three forces OA, OB, OC are obtained, andif O is assumed as a pole and starting out with the original lineo in (b), a funicular polygon is obtained which coincides with theoriginal triangle o, 01, 012. Hence the theorem: Any triangle whose vertices lie on the lines of action of… … 222 PROJECTIVE GEOMETRY. the three points of intersection of corresponding sides are collinear.As any three concurrent lines may be chosen as lines of actionof three forces in equilibrium, we thus have proved the well-known theorem concerning homologous triangles. 2. Theorem. The middle points of…
Geometry, Projective · Geometry, Analytic
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