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(144)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1419) lies on these lines:
1,971 6,57 7,1449 9,77 41,738 48,1461 73,991 109,1253 347,527 1201,1420 1443,1445X(1419) = X(1)-Ceva conjugate of X(57)
X(1419) = crosspoint of X(1) and X(165)
X(1419) = X(57)-Hirst inverse of X(910)