, E, F, respectively; and EF, FD, DE cut BC, CA, ABin K, L, M, respectively. Show that K, L, M are in the same FR KO FA ~ ^ ^^ ) 258 Geometry. Harmonic Ranges and Pencils. When a number of points are collinear, i.e., lie on thesame straight line, they are said to form a range. When a number of… … AP AQPB QBthen A, P, B, Q form a harmonic range. If 0 he an external point, the pencil OA, OP, OB,OQ, being concurrent lines through the points of aharmoiic range, form a harmonic pencil. Evidently, AP.BQ-AQ.PB, ^^1^1^711 = ^ forms in which the relation between the segments isoften stated. Since ??…
Geometry · Geometry, Plane
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