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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 215

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 215
le ABR, itfollows that two circles can be drawn to touch the given circles, so that theline joining the points of contact shall pass through the homothetic centre H. Similarly, it is evident that two circles can be drawn to pass through Eand touch the given circles, so that the line joining the… … TOUCHING THREE GIVEN CIRCLES. 199 There will generally be eight circles which can be drawn to touch threegiven circles; that is, two circles touching the given circles each in the samesense, and three pairs of circles which touch one of the given circles in theopposite sense to that in which it…

Geometry

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