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) = bc[(b + c)r + ad], where d = (r^{2} + s^{2})^{1/2}
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)The Spieker radical circle, with center X(10) and radius d/2, is introduced in
Darij Grinberg and Paul Yiu, "The Apollonius Circle as a Tucker Circle," Forum Geometricorum 2 (2002) 175-182.
X(2534) lies on these lines:
1,2 11,2540 12,2541 55,2537 56,2536 181,2538 1682,2539