An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 107
are harmonic, show that the corresponding linespassing through B and G will intersect on the straight line which passesthrough A. 146. The theorem of § 144 suggests a simple construction for determiningthe corresponding point P of the point P in a range in involution, when twoconjugate couples A,… … Let any straight hne PQR be drawn through P, and let Q, Rhe any twopoints on it. Let AQ meet BR in S, and let BQ meet AR in T; then TSwill meet AB in P. For in the tetrastigm QRST, the three pairs of opposite connectors areAQS, ART; BQT, BRS; and PQR, PST. Therefore by § 144, the range{AA, BB, PP}…
Geometry
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