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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 129

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 129
at C and the two given circles at G and H. ForCE and RH are each equal to GA (constr.). Therefore OC, OHand OG are equal, and the circle CGH manifestly touches CD atC and the given circles at G and H. q. e. f. N. B. Four circles can generally be described touching a givenstraight line and two given… … intelligent learner to reduce every case to the problem (135) ofdescribing a circle through a given point touching a given straightline and a given circle. 137. Given a straight line and two points on the sameside of it; find a point in the given line at which the two givenpoints shall subtend a…

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