page_title: Newton–Gauss line
hierarchical_section_title: Newton–Gauss line
caption_attribution_description: English: Newton-Gauss Line
context_page_description: In geometry, the Newton–Gauss line is the line joining the midpoints of the three diagonals of a complete quadrilateral.
  The midpoints of the two diagonals of a convex quadrilateral with at most two parallel sides are distinct and thus determine a line, the Newton line. If the sides of such a quadrilateral are extended to form a complete quadrangle, the diagonals of the quadrilateral remain diagonals of the complete quadrangle and the Newton line of the quadrilateral is the Newton–Gauss line of the complete quadrangle.
context_section_description: In geometry, the Newton–Gauss line (or Gauss–Newton line) is the line joining the midpoints of the three diagonals of a complete quadrilateral.
  The midpoints of the two diagonals of a convex quadrilateral with at most two parallel sides are distinct and thus determine a line, the Newton line. If the sides of such a quadrilateral are extended to form a complete quadrangle, the diagonals of the quadrilateral remain diagonals of the complete quadrangle and the Newton line of the quadrilateral is the Newton–Gauss line of the complete quadrangle.
caption: The line created by connecting the midpoints of all diagonals (L, M, and N) is the Newton–Gauss Line.
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