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 177
Therefore AAproduced passes through 0. Therefore two co-axial triangles arealso co-polar, q.e.d. 184. Given three fixed straight lines meeting in a point,if the three vertices of a triangle move one on each of theselines, and two sides of the triangle pass through fixed joints;prove that the… … duce AB, LMto meet in P. Join PO, PA. PA produced will passthrough B\ For, if possible, let PA meet OB in /?, and joinOL, OM, [ONCC] = {L. ONCC} = {M. ONCC}, but obviously {L. ONCC] - {L. OSAA}. In fact, these are anharmonic ratios of the same pencil. Similarly {M. ONCC) = {M. OTBB\ 184.] AND IN…
Geometry
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