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 35
erpendiculars,0 the centre of the circumscribedcircle, and AD the bisector ofthe side BC.AD in G. Join OP meeting Bisect AG in X and AP inY, and join XY. Because XY joins the mid-dle points of two sides of thetriangle A GP, XY is parallel toGP and equal to half PG by(4), therefore the angles AXY… … 10.] AND IN MODERN GEOMETRY. Hence (I. 26) OG is equal to XY or to half GP, and GD isequal to AX or XG, therefore (5) G is the point of intersectionof the bisectors of the sides. Therefore the three points are inthe same straight line. Q. E. D. 10. If from the ends and the middle point of a…
Geometry
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