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 119
neral^ two circles can be described through twogiven points on the same side of a straight line so as to touch theLight line. 128. Describe a ci through a give t,and touching two given «i lines. First (Fig. 1), let the given straight lines L3f% PC be parallel,and let A be the <ziven point.… … Join CO and produce CO to meet PQ in D. Bisect AB in Hand join HO. It is clear that FO and OE are rectangles, andsince FH and HE are equal, therefore CO and OB are equal,therefore CD is a diameter, and therefore PQ touches the circleat D. Next (Fig. 2), let the given straight lines meet in L.…
Geometry
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