An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 167
cumcircle. 241. It is very often instructive to consider how the enunciation of aparticular theorem requires modification when two or more points, or lines, ofa figure coincide. On the other hand a theorem may sometimes be easilyrecognised as a special case of a general theorem by taking a slightly… … Consider any circle touching the sides AB, AC of the triangle; and letthe other tangents which can be drawn from B and C meet in P. Then weknow that the line joining the middle point of BC to the middle point of APpasses through the centre of this circle (§ 38, Ex. 4). If now we suppose thecircle…
Geometry
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