Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = (a2 + 4*area(ABC))/a
= sin A + 2 sin B sin C : sin B + 2 sin C sin A : sin C + 2 sin A sin BBarycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(590) lies on these lines: 2,6 3,485 5,371 32,640 39,642 140,372 605,748 606,750
X(590) = isogonal conjugate of X(588)
X(590) = complement of X(492)
X(590) = crosspoint of X(2) and X(485)
X(590) = crosssum of X(6) and X(371)