An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 276
CONSTRUCTION OF THE RECIPROCAL OF A POINT. 259 stood, and using the definitions given above, we shall find that thetheorem stated in the last article may be stated in the form:When two circles X, Y touch internally, the positive and negativecircles of the reciprocal pairs x, x; y, y touch… … Let P be any given point, and let P be the invei-se point withrespect to an imaginary circle S whose centre is 0. Let T denotethe circle whose centre is 0 which cuts S orthogonally. Then \i pdenote the reciprocal of the point P with respect to S, p will haveits centre on the line OP, and will…
Geometry
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