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 224
ore ^Z + ^Z : AL :: BK+BL : BL,or, alternately, #Z : KM :: .4Z : ZZ. Similarly, KM \ KL :: AL : BL. Therefore KL : KM :: /Of : KL, and therefore ZTZ. KL = KM. KM. But these results are only particular cases of the nextproposition. 226. If a transversal be drawn through a centre ofsimilitude… … either of their centres of similitude draw the transversal OD, so thatC and C, D and D are corresponding points. We have proved that OC : OC :: AM : BM :: OM : OM. 13—2 196 EXERCISES ON EUCLID [227, Therefore CM and CM are parallel. Similarly BL and Bl!are parallel. Therefore the angle OCM is equal…
Geometry
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