Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 24
the nine-point circleThe Nine-Point Circle 11 10. The three middle points of the sides of atriangle, the three projections of the vertices on theopposite sides, and the three middle points of thestraight lines joining the vertices to the orthocentreare all concyclic. … Let ABC be a A, AX, BY, CZ the J_s from A, B, Cto BC, CA, AB respectivel}, O the orthocentre, L, M, Nthe middle points of AO, BO, CO respectively, D, E, Fthe middle points of BC, CA, AB respectively. It is required to show that the nine points, X, Y, Z,L, M, N, D, E, F are concyclic. Find S, the…
Geometry · Geometry, Analytic
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