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 123
ntres of the circles ABDC andCEFD is perpendicular to CD their chord of intersection, if thisjoining line bisect AB at right angles, that is, if the line joiningthe centre of CEFD and the middle point of AB be perpendicularto AB, it is clear that CD will be parallel to AB. Q. e. d. 131. Describe a… … 132.] AND IN MODERN GEOMETRY. 95 Join CD, and produce CD, AB to meet in P. From P drawPE and PF touching the given circle in the points E and F. Describe a circle through the points A, B and E. This willtouch the given circle at E. From the circle ABDC, AP.PB = CP.PD, and from thecircle CDF, CP.PD…
Geometry
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