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) = a[b2 + c2 - a(b + c)]
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(672) lies on these lines:
1,1002 2,7 3,41 6,31 36,101 37,38 39,213 43,165 44,513 46,169 56,220 72,1009 103,919 105,238 190,350 219,604 519,1018X(672) = isogonal conjugate of X(673) X(672) = X(I)-Ceva conjugate of X(J) for these (I,J): (103,55), (291,42)
X(672) = crosspoint of X(I) and X(J) for these (I,J): (6,292), (241,518)
X(672) = crosssum of X(I) and X(J) for these (I,J): (1,672), (2,239), (105,294)
X(672) = crossdifference of any two points on line X(1)X(514)
X(672) = X(I)-Hirst inverse of X(J) for these (I,J): (6,55), (1362,1458)