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 110
rence of a circle to the sides of an inscribed triangle,their feet are in the same straight line. Let the perpendiculars OD, OE, OF be drawn from any point0 on the circumference to the sides ofthe inscribed triangle A BC; then shallthe points D, E, F lie in the samestraight line. Join 0By OA, DF,… … M. G. 6 82 EXERCISES ON EUCLID [119. together equal to two right angles, but BOA and DCE are alsotogether equal to two right angles, since BO AC is a quadrilateralinscribed in the given circle; therefore the angles DOE and BOAare equal; therefore the angles AOE and BOD are equal. There-fore also…
Geometry
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