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) = a3(b + c)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1918) lies on these lines:
6,31 9,981 10,82 32,560 86,171 100,715 101,729 213,872 313,983 393,465 692,1333X(1918) = isogonal conjugate of X(310)
X(1918) = X(I)-Ceva conjugate of X(J) for these (I,J): (31,213), (692,1919), (983,37)
X(1918) = crosspoint of X(I) and X(J) for these (I,J): (31,32), (213,1402)
X(1918) = crosssum of X(I) and X(J) for these (I,J): (75,76), (274,314)