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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 202

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 202
e BC and CA meet on theradical axis of L and M, that is, C lies on the radical axis of L andM. In like manner it can be proved that C lies on the radicalaxis of L and M. Therefore the straight line CC is the radicalaxis of L and M, and therefore CC passes through the radicalcentre of the three… … ABC are co-polar, and therefore (183) they are also co-axial.Q. E. D. 204. Describe a circle, such that the radical axes of itand each of three given circles shall pass respectively throughthree given points. Let (Fig. 203) L, M, K be the given circles, P the requiredcircle. Then, whatever circle P…

Geometry

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