Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 90
3. ABCD is a quadrilateral and O is a poisuch that A AOB + A COD = A BOC + Athat the locus of O is the st. line joiningpoints of the diagonals AC and BD. (Note.—Produce DA. CBto meet at E. Make EF =AD and EG = BC. JoinFO, EO, GO, FG.) A OEF = A OAD, A OEG =A OBC. ;. OF EG - halfABCD, and A EFG is… … 78 SYNTHETIC GEOMETRY 34. If a quadrilateral be circumscribed about a circle,the centre of the circle is in the st. line joining the middlepoints of the diagonals. (Note.—Use Ex. 33.) 35. G is a fixed point in the base BC of the A ABC andO is a point within the A such that A AOB + A COG =A AOC + A…
Geometry · Geometry, Analytic
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