An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 56
ny given point C on the line by a similarconstruction. Thus, join CP, and draw AB, parallel to OP meeting OP in R,and RC parallel to PA meeting AB in C. IN INVOLUTION. 39 Then we shall have OG . OC = OA . OA. 69. We may also proceed otherwise. Let any two circles bedrawn passing through the points… … For evidently OA . OA = OX . 0Y= OB . OB. To obtain the conjugate point to any point C, we have merely todraw the circle passing through the points X, Y, C. This circlewill cut AB in C, the required point. For OC .OC = OX.OY=OA. OA. 70. Ex. 1. If {AA, BR, CC...} be a range in involution, whose…
Geometry
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