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An elementary treatise on modern pure geometry (1893)

Lachlan, Robert · London, New York, Macmillan and Co. · leaf 188

An illustration from An elementary treatise on modern pure geometry, 1893, leaf 188
which relates to a hexastigm inscribedin a circle, has already been proved in Chapter viii. (§181), wheresome further properties of such a hexastigm were investigated.Pascals theorem asserts that the opposite connectors of a hexastigminscribed in a circle intersect in three collinear points; that… … 172 CONNECTION BETWEEN PASCALS theorem proved in § 273, viz., that any circle and the pairs ofopposite connectors of any inscribed tetrastigm determine a rangein involution on any straight line. Let A, B,C, D, E, F be any six points on a circle; let EF cutAB, CD, BG, AD in P, P, Y, ¥ respectively;…

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