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) = a[a4 - 2abc(b + c - a) - (b2 - c2)2]/(b + c - a)
Barycentrics h(a,b,c) : h(b,c,a) : h(c,a,b), where h(a,b,c) = af(a,b,c)Center of the Yiu conic, which passes through the points outside the circumcircle at which the excircles of ABC are tangent to the sidelines of ABC. See Paul Yiu's The Clawson point and excircles.
X(478) lies on these lines: 6,19 9,1038 69,651 109,573 198,577 222,226