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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 191

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 191
meaning of [OAUC], since thefigure will always indicate whether a range, or four points on acircle, are meant. 197. Given six points on a straight line ; find a seventhpoint on the given line, such that the anharmonic ratio of%t and three of the points taken in an assigned order, shall beequal to… … points. Let these joining lines meet the circumference again inA\ E\ C, D, B\ Ff, and find (196) a point 0 such that [OAEC] = [ODEF*}. 198.] AND IN MODERN GEOMETRY. 163 Join OP, and produce it to meet the given line in 0. Then 0 isthe required point. For, obviously, {P. OAEC} = {P . OAEC}, and {P.…

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