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 141
e oppositesides, it is circumscribable by a circle; for if it be not circum-scribable, the rectangle under its diagonals will be less than thesum of the rectangles under its opposite sides, contrary to thehypothesis. 149. If any two chords be drawn through the middlepoint of a given chord of a… … any two chords FK and HG, and join FG, UK, meeting AB inD, F. Then shall AB and BE be equal, or CD and CF. Through K draw XL parallel to AB and join CL, LD, LG.Through the centre draw a straight, line perpendicular to ABand LK. This line will pass through their middle points Cand 21. Therefore (I.…
Geometry
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