TOPICS
Search

Conway Triangle Notation

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

Conway triangle notation defines

S=2Delta
(1)

where Delta is the area of a reference triangle, and

S_phi=Scotphi.
(2)

This gives the special cases

S_A=1/2(-a^2+b^2+c^2)
(3)
=bccosA
(4)
=S_omega-a^2
(5)
S_B=1/2(a^2-b^2+c^2)
(6)
=accosB
(7)
=S_omega-b^2
(8)
S_C=1/2(a^2+b^2-c^2)
(9)
=abcosC
(10)
=S_omega-c^2
(11)
S_omega=1/2(a^2+b^2+c^2),
(12)

where a, b, c are side lengths, A, B, C, are the corresponding angles, and omega is the Brocard angle.

Explore with Wolfram|Alpha

References

Yiu, P. "Notation." §3.4.1 in Introduction to the Geometry of the Triangle. pp. 33-34, Version 2.0402, April 2002. http://www.math.fau.edu/yiu/GeometryNotes020402.ps.

Referenced on Wolfram|Alpha

Conway Triangle Notation

Cite this as:

Weisstein, Eric W. "Conway Triangle Notation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConwayTriangleNotation.html

Subject classifications