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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 52

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 52
points A, B and C, D respectively, show that the locusof the point of intersection of AD and BC is a straight line. Ex. 4. Show how to draw (with the aid of a ruler only) a straight linefrom a given point which shall pass through the point of intersection of twogiven straight lines which do not… … Take any point X not on the straight line, and describe thecircles XAB, XGD intersecting again in the point Y. Let the line joining X, F, cut AB in R. Then if R does notlie within the circles, draw a tangent RZ to either, and mth centreR and radius RZ describe a circle cutting AB in P and Q. Then P…

Geometry

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