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Pappus's theorem (Theorem)

Let $A,B,C$ be points on a line (not necessarily in that order) and let $D,E,F$ points on another line (not necessarily in that order). Then the intersection points of $AD$ with $FC$, $DB$with $CE$ and $BF$ with $EA$ are collinear.

This is a special case of Pascal's mystic hexagram.

\includegraphics[scale=2.0]{pappus}



"Pappus's theorem" is owned by drini. [ owner history (1) ]
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See Also: Pascal's mystic hexagram, collinear, concurrent


Attachments:
proof of Pappus's theorem (Proof) by mathcam
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Cross-references: Pascal's mystic hexagram, collinear, intersection, line, points
There are 5 references to this entry.

This is version 2 of Pappus's theorem, born on 2002-02-20, modified 2003-08-19.
Object id is 2328, canonical name is PappussTheorem.
Accessed 6558 times total.

Classification:
AMS MSC: 51A05 (Geometry :: Linear incidence geometry :: General theory and projective geometries)
Pending Errata and Addenda
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