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HandWiki. Central Line (Geometry). Encyclopedia. Available online: https://encyclopedia.pub/entry/27683 (accessed on 20 September 2026).
HandWiki. Central Line (Geometry). Encyclopedia. Available at: https://encyclopedia.pub/entry/27683. Accessed September 20, 2026.
HandWiki. "Central Line (Geometry)" Encyclopedia, https://encyclopedia.pub/entry/27683 (accessed September 20, 2026).
HandWiki. (2022, September 27). Central Line (Geometry). In Encyclopedia. https://encyclopedia.pub/entry/27683
HandWiki. "Central Line (Geometry)." Encyclopedia. Web. 27 September, 2022.
Central Line (Geometry)
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In geometry, central lines are certain special straight lines that lie in the plane of a triangle. The special property that distinguishes a straight line as a central line is manifested via the equation of the line in trilinear coordinates. This special property is related to the concept of triangle center also. The concept of a central line was introduced by Clark Kimberling in a paper published in 1994.

central lines straight line straight lines

References

  1. Kimberling, Clark (1998). Triangle Centers and Central Triangles. Winnipeg, Canada: Utilitas Mathematica Publishing, Inc.. pp. 285. http://faculty.evansville.edu/ck6/tcenters/tcct.html. 
  2. Weisstein, Eric W.. "Central Line". From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CentralLine.html. Retrieved 24 June 2012. 
  3. Kimberling, Clark. "Glossary : Encyclopedia of Triangle Centers". Archived from the original on 23 April 2012. https://web.archive.org/web/20120423103438/http://faculty.evansville.edu/ck6/encyclopedia/glossary.html. Retrieved 24 June 2012. 
  4. Weisstein, Eric W.. "Trilinear Polar". From MathWorld--A Wolfram Web Resource.. http://mathworld.wolfram.com/TrilinearPolar.html. Retrieved 28 June 2012. 
  5. Weisstein, Eric W.. "Antiorthic Axis". From MathWorld--A Wolfram Web Resource.. http://mathworld.wolfram.com/AntiorthicAxis.html. Retrieved 28 June 2012. 
  6. Weisstein, Eric W.. "Antiorthic Axis". From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/AntiorthicAxis.html. Retrieved 26 June 2012. 
  7. Weisstein, Eric W.. "Orthic Axis". From MathWorld--A Wolfram Web Resource.. http://mathworld.wolfram.com/OrthicAxis.html. 
  8. Weisstein, Eric W.. "Nine-Point Center". From MathWorld--A Wolfram Web Resource.. http://mathworld.wolfram.com/Nine-PointCenter.html. Retrieved 29 June 2012. 
  9. Weisstein, Eric W.. "Kosnita Point". From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/KosnitaPoint.html. Retrieved 29 June 2012. 
  10. Darij Grinberg (2003). "On the Kosnita Point and the Reflection Triangle". Forum Geometricorum 3: 105–111. http://forumgeom.fau.edu/FG2003volume3/FG200311.pdf. Retrieved 29 June 2012. 
  11. J. Rigby (1997). "Brief notes on some forgotten geometrical theorems". Mathematics & Informatics Quarterly 7: 156–158. 
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