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To draw a circle which cuts three circles at the ends of the diameters of these circles

Published online by Cambridge University Press:  31 October 2008

A. G. Burgess
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Let the three circles have centres, A, B, C, and let their radical centre be T, and the

circumcentre of ΔABC be 0. Join TO and produce it to T1, so that T1O = TO. T1 is the centre of the required circle. Join T1A and T1C, and draw diameters A1^AA2, and C1CC2 perpendicular to T1A and T1C. ⊙ with centre T1 and radius T1A2 passes through A1.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 19 , December 1915 , pp. 212 - 213
Copyright
Copyright © Edinburgh Mathematical Society 1915