Smart, Edward Howard · London : Macmillian and Co. · leaf 75
cut the line of centres. For let the direct common tangent PQ cut the line ofcentres at Y. Since AP is parallel to BQ, the triangles APY,BQY are similar. Hence AY/BY = AP/BQ = AY/BY. .*. Y and Y must coincide. Similarly for the inverse common tangents. § 9. Prop. If a variable circle touch two… … Pio. 20. Let PQ be the chord of contact of the variable circle whosecentre is C. Then CQ and CP pass through A and B respec-tively. Let PQ cut the circle, whose centre is A, again in P. Then angle APQ = angle AQP = angle CQP = angle CPQ. 48 PROJECTIVE GEOMETRY .. AP is parallel to CPB, and the…
Geometry, Projective
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