An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 215
the escribed circles at the points Pj, P^, P,; showthat PPj and P^P^ cut BC in the same points as the internal and externalbisectors of the angle BAG. Ex. 4. Describe a circle which shall touch two given circles and passthrough a given point. 198 CONSTRUCTION OF CIRCLES Let E be the given point.… … Draw the circle ABE, and let it cut HE in F, and one of the given circlesin R. Let BR cut EF in T, and from T draw a line touching the circle BRAin P. Then the circle circumscribing the triangle EFP will touch the givencircles. Since two tangents may be drawn from the point T to the circle ABR,…
Geometry
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