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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 117

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 117
126. Describe a circle, ivhich shall bisect three given cir-cumferences. Let A, B, and C be the centres of the three given circles.Join AB, AC and (125) produce AB, AC both ways, so thatMB. BL equals the square on the radius of circle (B), MA . AL 88 EXERCISES ON EUCLID [127. equals the square on… … on the radius of circle (C). Through M, L and P describe the circle whose centre is 0.circumferences. The circle (0) bisects the three given Because the rectangles MA . AL, NA . AP are each equal tothe square on the radius of the circle (A), therefore the circlethrough the points M, L, P will also…

Geometry

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