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 84
81.] AND IN MODERN GEOMETRY. 55 Let ABC and DEF be two triangles, having the rectanglesAB.DF and A(\J)h\ AC.FE and CB.DF, CB .ED and 7>U . FE equal; then shall the angles A, B, G be respectively equalto the angles D, E, F. Draw AG and CG making the angles GAC and tfZMF, 4CG and DFE equal.… … In the same manner it can be proved that CG equals CB. Therefore (I. 8) the triangles ABC and AGO are equiangular,but the triangles ACG and DEF are equiangular (constr.), there-fore ABC and DEF are also equiangular, q. e. d. 81. If two triangles have an angle of the one equal to anangle of the…
Geometry
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