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 a/(b - c) : b/(c - a) : c/(a - b)
= a(a - b)(a - c) : b(b - c)(b - a) : c(c - a)(c - b)Barycentrics a2/(b - c) : b2/(c - a) : c2/(a - b)
X(101) = circumcircle-antipode of X(103)
X(101) = Ψ(X(1), X(6))
X(101) lies on these lines:
1,41 2,116 3,103 4,118 6,106 9,48 10,98 19,913 20,152 31,609 32,595 36,672 37,284 40,972 42,111 56,218 58,172 59,657 71,74 75,767 78,205 99,190 100,644 102,198 109,654 110,163 514,664 517,910 522,929 560,713 643,931 649,901 651,934 663,919 667,813 668,789 692,926 733,904 743,869 761,984 765,898X(101) = midpoint of X(20) and X(152)
X(101) = reflection of X(I) in X(J) for these (I,J): (4,118), (103,3), (150,116)
X(101) = isogonal conjugate of X(514)
X(101) = complement of X(150)
X(101) = anticomplement of X(116)
X(101) = X(59)-Ceva conjugate of X(55)
X(101) = cevapoint of X(354) and X(513)
X(101) = X(I)-cross conjugate of X(J) for these (I,J): (55,59), (199,250)
X(101) = crosssum of X(I) and X(J) for these (I,J): (513,650), (523,661), (649,1459)
X(101) = crossdifference of any two points on line X(11)X(244)
X(101) = X(I)-aleph conjugate of X(J) for these (I,J): (100,165), (509,1052), (662,572), (664,169)
X(101) = X(I)-beth conjugate of X(J) for these (I,J): (21,105), (644,644)