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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 134

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 134
three by three through twenty other points. 185. The properties which exist for a hexastigm inscribed ina circle are also true of any hexastigm formed by the points ofintersection of non-corresponding sides of two triangles which arein perspective. Such a hexastigm is called a Pascal hexastigm. Let… … Hence by § 177, the triangle formed by the lines GE, AF, BDwill also be in perspective with the triangles XYZ, XYZ. Alsofrom § 167, it follows that these three triangles are copolsu-. Again by § 177, it follows that the triangle XYZ is copolarwith the triangles formed by the lines BF,CA,DE;GE, DF,…

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