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) = (b - c)2/(b + c - a)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)Centers X(3020)-X(3026) are points on the incircle, as noted by Milorad Stevanovic (Hyacinthos Dec. 7-8, 2004)
X(3020) lies on the incircle and these lines: 57,88 192,335 244,1357 604,1438 1986,1358 1122,1400 1429,1443
X(3020) = X(1358)-Ceva conjugate of X(244)
X(3020) = cevapoint of X(1015) and X(1357)
X(3020) = X(1015)-cross conjugate of X(244)
X(3020) = crosspoint of X(513) and X(2191)
X(3020) = crosssum of X(I) and X(J) for these I,J: 9,644 101,1743