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 127
two sides OK, KG together equal to thethird side OC, which is impossible (I. 20). In like manner, it canbe proved that, if the distance between the centres of two circlesbe equal to the difference of their radii, one of the circles musttouch the other internally. 135. To describe a circle passing… … the centre of the given circle. Through 0 draw DEB perpendi-cular to AB. Join PD, PE and make PD.DQ=BD. BE, which is given,and PE.ES = DE.EB, which is given. Through P, Q twocircles can be described touching the given line AB, and throughP and S two circles can also be described touching AB…
Geometry
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