Definition talk:Polygon/Chord

Definition
Sorry for the confusion. My source, the Joseph O'Rourke book has:


 * p. 12:  [the chord] is completely interior to $P$ (i.e., does not intersect $\partial P$)

It was the last part that confused me, so I believed it was enough to require that the chord should not intersect any other sides of $P$, but that obviously does not work. Have changed it now.
 * "should not intersect any other sides of $P$" could be made more rigorous by wording it as "does not intersect $\partial P$ except at the endpoints."

O'Rourke also uses the word internal diagonal, but he does not formally define it. Maybe we could do that. --Anghel (talk) 17:02, 18 November 2022 (UTC)


 * If it's in there, it's worth defining. I have always found it a mistake to gloss over or ignore a definition given in a source work, as it is often the case that it is used later on when you are not expecting it. --prime mover (talk) 17:40, 18 November 2022 (UTC)


 * I also wonder whether O'Rourke's constraint that it should lie entirely internal to $P$ may not be so much an "also defined as" as the main canonical definition. Can we find sources which allow $AF$ to be a chord? --prime mover (talk) 17:43, 18 November 2022 (UTC)