Talk:Napoleon's theorem

message: Hello everybody,
I feel something is missing here,
I mean some other goemetry problems/exercises that have a solution by homothety-rotation or by complex numbers, 
thank you, Nicolae-boicu (talk) 01:15, 10 January 2012 (UTC)
replies: text: For the "rotation" idea, see http://www.cut-the-knot.org/proofs/napoleon.shtml#second ; for the "complex numbers" idea, see http://www.cut-the-knot.org/proofs/napoleon_complex.shtml . IMHO, I don't think such proofs deserve more than a passing mention and a ref, as i've just added to the article. -- Jokes Free4Me (talk) 03:23, 11 February 2012 (UTC)
thread_title:  Other proofs 

message: From the intro it was in 1825, but from the caption it was from 1826. Which is correct? Thanks! VanessaLylithe (talk) 13:22, 11 December 2012 (UTC)
replies: text: The question was posed in 1825, but answered in 1826. The illustration is the answer.  Bill Cherowitzo  (talk) 19:18, 11 December 2012 (UTC)

text: I've stuck in a clause to clarify this in the article. Bill Cherowitzo  (talk) 03:26, 12 December 2012 (UTC)
thread_title:  The Ladies' Diary 

message: The formula for the side of Nap's triangle includes Heron's formula spelled out, and could be replaced by 2*area/root(3).
According to <https://marveloustriangles.blogspot.com/2014/09/> - verified for a couple of instances!
There is a result which combines Napoleon's triangle and Morley's triangle.
The result is generalised there, but take the special case noted by Tran Quang Hung, the outer Napolean and inner Morley triangles
and join the corresponding vertices in an obvious way they will intersect the near sides of the original triangle (ABC)
in points u,v,w so that u is on BC, v on AC, w on AB
Then the lines Au, Bv, Cw are concurrent.
A1jrj (talk) 09:47, 26 September 2020 (UTC)
thread_title:  Some additional notes 

message: Hello fellow Wikipedians,
I have just modified one external link on Napoleon's theorem. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:
*Added archive https://web.archive.org/web/20140429191842/http://apollonius.math.nthu.edu.tw/d1/disk5/js/geometry/napoleon/9.pdf to http://apollonius.math.nthu.edu.tw/d1/disk5/js/geometry/napoleon/9.pdf
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
Cheers.—InternetArchiveBot (Report bug) 12:13, 9 January 2018 (UTC)
thread_title:  External links modified 

message: The proof below for the general form of the asymmetric propellor theorem proves Napoleon’s theorem. Simply put B1=A2, C1=A3 and C2=B3, then A1B1C1=A1A2A3, A2B2C2=B1B2B3, A3B3C3=C1C2C3 and then for any arbitrary triangle ABC we define A=B1=A2, B=C1=A3, C=C2=B3 (or a permutation of that) and define A1, B2 and C3 so that A1A2A3, B1B2B3, C1C2C3 are equilateral and we have Napoleon’s theorem. We even prove a generalisation if we simply define A1, B2 and C3 so that A1A2A3, B1B2B3, C1C2C3 are similar but not necessarily equilateral. https://www.cut-the-knot.org/m/Geometry/FinalAsymmetricPropeller.shtmlOverlordnat1 (talk) 16:10, 17 May 2021 (UTC)
thread_title:  Asymmetric Propellor Theory