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) = (1 - cos A)u(a,b,c), where u : v : w = X(101)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1415) lies on these lines:
6,909 32,56 41,609 57,609 65,172 101,109 108,112 198,478 213,1399 571,608 604,1417 651,662 910,1455 919,934 923,1402 1055,1457 1333,1400X(1415) = X(I)-Ceva conjugate of X(J) for these (I,J): (59,1397), (109,692), (1262,56)
X(1415) = X(I)-cross conjugate of X(J) for these (I,J): (649,1333), (667,56), (1397,59)
X(1415) = cevapoint of X(I) and X(J) for these (I,J): (32,667), (649,1400)
X(1415) = crosspoint of X(I) and X(J) for these (I,J): (108,651), (109,1461), (112,163)
X(1415) = crosssum of X(521) and X(650)
X(1415) = crossdifference of any two points on line X(11)X(123)
X(1415) = barycentric product of X(1381) and X(1382)