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 216
of intersection will be the limiting points of the system 218.] AND IN MODERN GEOMETRY. 187 with centres in CB. Hence, this proposition is only a differentmode of stating (201) and some of the deduction* from it. 217. If on the three diagonals of a complete quadri-lateral, as diameters, circles be… … JV the middle points of its three diagonals. Therefore (22) LMNis a straight line. Let G, H, K be the points of intersection of thethree diagonals taken two at a time. Because (169) AH is cut harmonically in G and C, and AC isbisected in M, therefore (163) MG.MH=MC2, and therefore thecircle on AC…
Geometry
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