Talk:Pitot theorem
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Error!
editThe text to the lower figure says that the perimeter is P and then that P=|AB|+|CD| which is wrong, because P=|AB|+|BC|+|CD|+|DA|. Episcophagus (talk) 15:41, 11 May 2018 (UTC)
- Thanks for catching this. It should be the semiperimeter, of course, but I don't think the perimeter even needs to be mentioned in the caption. —David Eppstein (talk) 16:40, 11 May 2018 (UTC)
- But you don't know that it is the semiperimeter until after the proof! Episcophagus (talk) 16:56, 11 May 2018 (UTC)
My bad - I must have been asleep while typing when I replaced the drawings. Too much of "wiki, wiki" I suppose.--Kmhkmh (talk) 21:31, 11 May 2018 (UTC)
new content/external links/coi
edit@MrOllie: Yes, if an author is adding his own results (or links his own page) then this is case of COI. Nevertheless such edits need to evaluated on their own merit. In this case it is proper/desired content for the article based on published source. In other words other (math) editors without COI (for instance me) would have added that content as well (using potentially the same source) if they had been aware of it. The same applies more or less to the external link.--Kmhkmh (talk) 14:48, 4 September 2020 (UTC)
Earlier reference for proof of the converse
editAccording to [1][2], there is an earlier proof of the converse of the theorem:
- Durrande, J. B. (1815). "Questions résolues. Démonstration du théorème de géométrie énoncé à la page 384 du V.e volume de ce recueil" (PDF). Annales de Mathématiques pures et appliquées. 6: 49–54.
. Dimitris131 (talk) 11:00, 15 September 2024 (UTC)
- ^ Sauvé, Léo (1976). "On circumscribable quadrilaterals" (PDF). Crux. 2 (4): 63–67.
- ^ Josefsson, Martin (July 2019). "103.23 On Pitot's theorem". The Mathematical Gazette. 103 (557): 333–337. doi:10.1017/mag.2019.70.