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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 121

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 121
rcleshave evidently the same tangent at G. In like manner it can beproved, that the circle described from the centre 0 at the distanceOH also touches the two given lines and the given circle. Itmay be shewn, in like manner, that when the circle lies entirelybetween the two given lines, the circle… … Fig. 2. Next, let the two given lines meet in D. Draw LH and LKparallel to the two given lines BD and DC, respectively, and at adistance equal to the radius of the given circle (A). Describe(128) a circle with centre 0 passing through the point A, andtouching LH and LK in H and K. Join OH, OK and…

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