nine points circle

1 definition found

nine points circle - Collaborative International Dictionary of English v.0.48 :

  nine \nine\ (n[imac]n), a. [OE. nine, nihen, AS. nigon, nigan;
     akin to D. & LG. negen, OS. & OFries. nigun, OHG. niun, G.
     neun, Icel. n[imac]u, sw. nio, Dan. ni, Goth. niun, Ir. &
     Gael. naoi, W. naw, L. novem, Gr. 'enne`a, Skr. navan; of
     unknown origin. [root]307. Cf. Novembeer.]
     Eight and one more; one less than ten; as, nine miles.
     [1913 Webster]
  
     Nine men's morris. See Morris.
  
     Nine points circle (Geom.), a circle so related to any
        given triangle as to pass through the three points in
        which the perpendiculars from the angles of the triangle
        upon the opposite sides (or the sides produced) meet the
        sides. It also passes through the three middle points of
        the sides of the triangle and through the three middle
        points of those parts of the perpendiculars that are
        between their common point of meeting and the angles of
        the triangle. The circle is hence called the nine points  circle
         or six points circle.
        [1913 Webster]