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 60
desis equal to three times the squares on AG, BG and CG. Def. It may be sometimes convenient to call#(? (thepoint of intersection of the bisectors of the sides), the centreof gravity of the triangle. 44. The sum of the squares on the sides of any quadri-lateral is equal to the sum of the squares on… … the middle points of its diagonals.Join BF, DF. Because AC is bisected in F, thesum of the squares on AB and BC isequal to twice the squares on AF andBF (41), and the sum of the squareson AD and DC is equal to twice thesquares on AF and DF, therefore thesum of the squares on the four sidesis equal…
Geometry
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