An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 185
nd a common tangent touchesthem in P and Q. Show that if a system of circles be drawn through thepoints A and B, they will cut the line PQ in a range in involution, the doublepoints of which are P and Q. Ex. 2. Show that the polar of a given point with respect to any circlewhich passes through two… … Let A, A\ B, B; G,G he the three pairs of opposite verticesof a tetragram circumscribed to a circle. Let AA cut CG in H, then the pencil B[AA, HB] isharmonic. Therefore H is the pole of BB. That is, the point of intersection of the diagonals AA, CC, isthe pole of the diagonal BE. Similarly it may…
Geometry
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