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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 231

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 231
circles. Let A, B, C be the centres of the three given circles L, M, JV,and suppose that they are not all equal, and that L is not greaterthan M or N. 202 EXERCISES ON EUCLID [232. With centre B, and radius equal to the difference of the radiiof M and L, describe a circle, and with centre C, and… … Join OB (which will pass through G) meeting M in E, and OC(which will pass through II) meeting N in F9 and join OA meetingZini>. GE and HF are each equal to DA (constr.), therefore OD, OE,and OF are equal, and therefore the circle described with 0 ascentre, and OD as radius, will touch the given…

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