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 106
ifference of the sides. Let BAC be the given triangle, A U the bisector of the internalvei*tical angle, GF the bisector of the external vertical angle, BOand CK perpendiculars on GH, meeting the sides produced in 0and K, BU and CI perpendiculars on the internal bisector ATI,and let DP be drawn from… … G^D£7 and ZLYZf are straight lines (24, Cor.) parallel to CA and,4i? respectively. Also PR and ^ZT are parallel since the angles APR and PAHare right angles, therefore BR AH is a parallelogram. In likemanner it can be proved that DQKH is a parallelogram; thereforeAR = BH~QK. But Z>H and DG are…
Geometry
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