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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
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… … and BE, D being any point in CD except F. The angle AEBis greater than BDE (I. 16); therefore also the angle AFB, whichis equal to AEB, is greater than ADB. 138.] AND IN MODERN GEOMETRY. 101 N.B. Since (127) another circle can be described passingthrough A, B and touching CD on the side of AB…

Geometry

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