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 89
60 EXERCISES ON ECCLID [90. Let ABC be the given triangle, and let AD be the bisector ofthe external vertical angle CAF; produce AD to meet the circum-scribed circle in E, and take AF equal to 4(7. Join BE, DF.The triangles CAD and 7^17) are obviously equal in all respects … (I. 4), therefore the angles ACD and AFD are equal, but ACD and AEB are equal (III. 22), therefore the angles AEB and AFDare equal, and therefore (-31) the same circle passes through thepoints />, Et F, ft Therefore (III. 35) BA .AF= FA . AD,that is, 7U .AC=EA. AD. Add to each of these equals…
Geometry
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