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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 88

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 88
-^AB.AC,since AF and AC are equal, and EA . AD equals the square on ADtogether with the rectangle AD. DE (II. 3), and AD . DF = BD.DC (III. 35).Therefore the rectangle under AB and AC is equal to the squareon AD together with the rectangle under BD and DC. q. e. d. 89. The rectangle under the sides… … 60 EXERCISES ON ECCLID [90. Let ABC be the given triangle, and let AD be the bisector ofthe external vertical angle CAF; produce AD to meet the circum-scribed circle in E, and take AF equal to 4(7. Join BE, DF.The triangles CAD and 7^17) are obviously equal in all respects

Geometry

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