Word.ws English Dictionary

Pappus's hexagon theorem

Pappus's hexagon theorem proper noun: a theorem valid for projective planes over any field, stating that, given one set of collinear points A,B,C, and another set of collinear points a,b,c,, the intersection points X,Y,Z of line pairs Ab and aB,Ac and aC,Bc and bC are collinear, lying on the "Pappus line". These three points are the points of intersection of the "opposite" sides of the hexagon AbCaBc.

Proper noun

Pappus's hexagon theorem

  1. A theorem valid for projective planes over any field, stating that, given one set of collinear points A,B,C, and another set of collinear points a,b,c,, the intersection points X,Y,Z of line pairs Ab and aB,Ac and aC,Bc and bC are collinear, lying on the "Pappus line". These three points are the points of intersection of the "opposite" sides of the hexagon AbCaBc.

Origin of Pappus's hexagon theorem

Attributed to the Ancient Greek mathematician Pappus of Alexandria (c. 290–c. 350 AD).

Questions about Pappus's hexagon theorem

What does Pappus's hexagon theorem mean?
Pappus's hexagon theorem means a theorem valid for projective planes over any field, stating that, given one set of collinear points A,B,C, and another set of collinear points a,b,c,, the intersection points X,Y,Z of line pairs Ab and aB,Ac and aC,Bc and bC are collinear, lying on the "Pappus line". These three points are the points of intersection of the "opposite" sides of the hexagon AbCaBc.
What part of speech is Pappus's hexagon theorem?
Pappus's hexagon theorem is a proper noun.

Words near Pappus's hexagon theorem in the dictionary

  1. pappose
  2. pappotheriid
  3. pappous
  4. Papps
  5. pappus
  6. Pappus's hexagon theorem
  7. pappuses
  8. pappy
  9. pappyshow
  10. pappyshowed
  11. pappyshowing

Source and license

Adapted from Wiktionary: Pappus's hexagon theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Pappus's hexagon theorem.” Word.ws, https://word.ws/pappus%27s_hexagon_theorem. Based on Wiktionary, CC BY-SA 4.0.