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 162
fore FC and j^C are equal, which is impossible.Therefore B, E and i^are in the same straight line. 168. Any three straight lines drawn through the anglesof a triangle so as to intersect in the same point, divide theopposite sides into segments, such that the segments of anyside are in a ratio… … Because EB cuts the sides of the triangle ABC, and FC cutsthe sides of the triangle ABB, therefore (167) BB (BO : OA) bg^ae\Tc1^bcdgAao^ BF:FA\ Therefore, compounding these ratios, (DO : OA^(BD : BC\ \A0 : OD{BC : DC) I BF : FAX.AE : EC) 134? EXERCISES ON EUCLID [169. But < n n > is a ratio…
Geometry
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