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 b - c : c - a : a - b
Barycentrics ab - ac : bc - ba : ca - cb
As the isogonal conjugate of a point on the circumcircle, X(513) lies on the line at infinity.
X(513) lies on these lines: 1,764 6,1024 7,885 30,511 36,238 37,876 44,649 59,651 100,765 104,953 105,840 190,660 320,350 663,855 668,889 1052,1054
X(513) = orthopoint of X(517)
X(513) = isogonal conjugate of X(100)
X(513) = isotomic conjugate of X(668)
X(513) = anticomplementary conjugate of X(149)
X(513) = complementary conjugate of X(11)
X(513) = X(I)-Ceva conjugate of X(J) for these (I,J): (1,244), (4,11), (100,1), (101,354), (108,56), (109,65), (190,37)
X(513) = X(244)-cross conjugate of X(1)
X(513) = crosspoint of X(I) and X(J) for these (I,J): (1,100), (4,108), (58,109), (86,190)
X(513) = crosssum of X(I) and X(J) for these (I,J): (1,513), (3,521), (6,667), (10,522), (42,649), (55,650), (142,514), (442,523), (692,906), (900,1145)X(513) = crossdifference of any two points on line X(1)X(6) X(513) = X(I)-line conjugate of X(J) for these (I,J): (30,518), (36,238)