Word Pronunciation & Dictionary

pappus's hexagon theorem

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables: pap-pus's hexagon the-o-rem
IPA

43

Scrabble Score

21

Letters

4

Syllables

13

Unique Chars

Meaning

name

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.

Etymology

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

Phrases

Pappus line

Frequently Paired Words

Pappian Pappus line

Questions

What does pappus's hexagon theorem mean?: 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.
Where does pappus's hexagon theorem come from?: Attributed to the Ancient Greek mathematician Pappus of Alexandria (c. 290–c. 350 AD).

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