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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 112

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 112
gment are also equal; therefore the angle DOE is equalto the sum of the angles ABF and AFB. To these equals add the angle BAF, therefore the angles DOEand EAD are together equal to the angles of the triangle ABF,that is, to two right angles; therefore (52) the circle circum-scribing the triangle… … Fig. 2. Again (Fig. 2), let 01? 02, 03, <94 be the centres of the circlescircumscribing the triangles CDF, FBA, ADE and EBC re-spectively. Join E04f 040, 00iy 0XD, 0fl3 meeting OD in G and 0304meeting OE in H. The angle EOfl is double the angle ECO at the circumference(III. 20), and HOfi is…

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