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(201)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1425) lies on these lines:
1,185 6,1398 12,125 25,221 34,51 55,1204 56,184 65,225 72,307 73,228 181,1254 213,1042 217,1015 999,1181 1093,1148 1106,1401X(1425) = X(I)-Ceva conjugate of X(J) for these (I,J): (65,1254), (1020,647)
X(1425) = crosspoint of X(65) and X(73)
X(1425) = crosssum of X(21) and X(29)