Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 23
e middle points of EC, BC, .*. EB = twice SD,and /. AO = twice SD. 9. ABC is a A having AX _LBC, AD a median, O the ortho-centre, and S the circumscribedcentre. Show that OS cuts ADat the centroid G. (Use § 8.)Show also that G is a pointof trisection in SO. A general enunciation of theseresults… … 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.
Geometry · Geometry, Analytic
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