An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 236
any chord of a circle, the centre, andthe inverse of any point on the chord, are concyclic. 346. We may mention here a method by which the inverse ofany given figure may be drawn with the aid of a simple mechanicalinstrument. Let A BCD be a rhombus formed by four rigid barsof equal lengths hinged… … 220 INVERSE OF A STRAIGHT LINE. It is evident that the points 0, A, C vnW be collinear. Let Ebe the point of intersection of BD and AG. Then we have OA.OG = OE-AE^ OD- J)A\ Hence A and G are inverse points with respect to a circle whosecentre is 0. Consequently if the point A be made to describe…
Geometry
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
