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 1 - 2 sin B sin C : 1 - 2 sin C sin A : 1 - 2 sin A sin B
Barycentrics (sin A)(1 - 2 sin B sin C) : (sin B)(1 - 2 sin C sin A) : (sin C)(1 - 2 sin A sin B)X(499) is the harmonic conjugate of X(498) with respect to X(1) and X(2).
Peter Yff, "Three concurrent congruent circles 'inscribed' in a triangle," manuscript, 1998; X(498) is the point S' on page 6.
X(499) lies on these lines: 1,2 3,11 4,36 5,56 12,999 17,202 18,203 35,497 46,946 47,238 55,140 57,920 80,944 141,613 255,748 348,1111 484,962