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 1/(b - c) : 1/(c - a) : 1/(a - b)
= (a - b)(a - c) : (b - c)(b - a) : (c - a)(c - b)Barycentrics a/(b - c) : b/(c - a) : c/(a - b)
X(100) = circumcircle-antipode of X(104)
X(100) = Ψ(X(6), X(1))
X(100) lies on these lines:
1,88 2,11 3,8 4,119 6,739 7,1004 9,1005 10,21 20,153 22,197 31,43 32,713 36,519 37,111 40,78 42,81 46,224 56,145 59,521 63,103 72,74 75,675 76,767 92,917 98,228 99,668 101,644 107,823 108,653 109,651 110,643 112,162 144,480 190,659 198,346 213,729 238,899 281,1013 329,972 442,943 484,758 513,765 516,908 517,953 518,840 522,655 560,697 594,1030 645,931 649,660 650,919 658,664 667,898 693,927 731,869 733,893 753,984 756,846 789,874 976,986X(100) is the {X(10),X(35)}-harmonic conjugate of X(21).
X(100) = midpoint of X(20) and X(153)
X(100) = reflection of X(I) in X(J) for these (I,J): (1,214), (4,119), (8,1145), (80,10), (104,3), (145,1317), (149,11), (962,1537), (1156,9), (1320,1), (1484,140)X(100) = isogonal conjugate of X(513)
X(100) = complement of X(149)
X(100) = anticomplement of X(11)
X(100) = X(99)-Ceva conjugate of X(190)
X(100) = cevapoint of X(I) and X(J) for these (I,J): (1,513), (3,521), (10,522), (142,514), (442,523)
X(100) = X(I)-cross conjugate of X(J) for these (I,J): (3,59), (513,1), (521,8), (522,21)
X(100) = crosssum of X(I) and X(J) for these (I,J): (1,1054), (244,764), (512,661), (649,663)
X(100) = crossdifference of any two points on line X(244)X(665)
X(100) = X(1)-line conjugate of X(244)X(100) = X(I)-aleph conjugate of X(J) for these (I,J):
(1,1052), (100,1), (190,63), (643,411), (666,673), (765,100), (1016,190)X(100) = X(I)-beth conjugate of X(J) for these (I,J):
(8,80), (21,106), (100,109), (333,673), (643,100), (765,100)