six points circle

Six \Six\, a. [AS. six, seox, siex; akin to OFries. sex, D. zes,
   OS. & OHG. sehs, G. sechs, Icel., Sw., & Dan. sex, Goth.
   sa['i]hs, Lith. szeszi, Russ. sheste, Gael. & Ir. se, W.
   chwech, L. sex, Gr. ??, Per. shesh, Skr. shash. [root]304.
   Cf. {Hexagon}, {Hexameter}, {Samite}, {Senary}, {Sextant},
   {Sice}.]
   One more than five; twice three; as, six yards.
   [1913 Webster]

   {Six Nations} (Ethnol.), a confederation of North American
      Indians formed by the union of the Tuscaroras and the Five
      Nations.

   {Six points circle}. (Geom.) See {Nine points circle}, under
      {Nine}.
      [1913 Webster]
    

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]