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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 46

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 46
alled a complete quadrilateral. 22. The middle points of the three diagonals of a com-plete quadrilateral lie in the same straight line. Let A BCD be the quadrilateral, EF its third diagonal, andZ, if, iVrthe middle points of its three diagonals. Join Z, M, JVwith the points A, B, C, D, and draw NG… … fore the triangles ALB and DLC, which have the common vertexL and AB and CD for bases, are together equal to half the quadri-lateral ABCD; similarly, the triangles A MB and DMC with com- M. G. 2 18 EXERCISES ON EUCLID [23. mon vertex M and the bases AB and CD are also together equalto half the…

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