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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 183

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 183
circle, andlet E, F, G be its centres. Then since AC and BD pass throughE, which is the pole of FG, it follows that the poles oi AC and BDmust lie on FG. Similarly the poles of AB and BC will lie on EG, and the polesoi BC and AD on FE. Hence, the tangents to the circle at the vertices of the… … 273. If a tetrastigm be inscribed in a circle, any straight linemil be cut in involution by the circle and the three pairs of oppositeconnectors of the tetrastigm. Let ABCD be a tetrastigm inscribed in a circle, and let any-straight line be drawn cutting the connectors AG, BD in P and P;the…

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