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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 118

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 118
Fig. i, Cor.), and therefore CD is perpendicular to a diameter through itsextremity F. Therefore fill. I . I r. CD touches the circle. Next (Kg : Let AB produced meet CD in G. Me GFsuch that CF: GAy which is a given rectangle. The circle … Fig. 2. dug through the points A3 B, F is clearly the required circleL 57). N.B. If GF be taken in the direction GC equal to GF it isevident that the circle through A, B and F, will also touch CD atthe point F. Hence, in general^ two circles can be described through twogiven points on the same side…

Geometry

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