PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: High Entry average rating: No information on entry rating
Morley's theorem (Theorem)
Theorem 1 (Morley's Theorem)   The points of intersections of the adjacent trisectors in any triangle, are the vertices of an equilateral triangle.
\includegraphics{morley}




"Morley's theorem" is owned by drini. [ full author list (2) | owner history (1) ]
(view preamble | get metadata)

View style:

See Also: triangle

Keywords:  Triangle, Trisectors, EquilateralTriangle

Attachments:
proof of Morley's theorem (Proof) by mathcam
corollary of Morley's theorem (Corollary) by drini
Log in to rate this entry.
(view current ratings)

Cross-references: equilateral triangle, vertices, triangle, adjacent, intersections, points, theorem
There is 1 reference to this entry.

This is version 5 of Morley's theorem, born on 2001-10-06, modified 2005-03-03.
Object id is 141, canonical name is MorleysTheorem.
Accessed 4316 times total.

Classification:
AMS MSC51-00 (Geometry :: General reference works )

Pending Errata and Addenda
None.
Discussion
Style: Expand: Order:
forum policy
cheers for myself by drini on 2001-10-30 23:59:09
this was really tricky to draw (give it a try) hehe
 f
G -----> H G
p \ /_ ----- ~ f(G) 
 \ / f ker f 
 G/ker f 
[ reply | up ]

Interact
post | correct | update request | prove | add result | add corollary | add example | add (any)