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(142)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1418) lies on these lines:
6,57 7,37 44,1445 56,1279 65,1458 77,1100 142,1212 553,1214 603,1456 942,991 1014,1333 1086,1108 1104,1448 1122,1400 1155,1253X(1418) = X(57)-Ceva conjugate of X(1475)
X(1418) = X(1475)-cross conjugate of X(354)
X(1418) = crosspoint of X(57) and X(279)
X(1418) = crosssum of X(9) and X(220)