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)
Barycentrics a2(b - c) : b2(c - a) : c2(a - b)
X(649) lies on these lines:
31,884 42,788 44,513 57,1024 89,1022 100,660 101,901 109,919 187,237 190,889 239,514 693,812X(649) = reflection of X(I) in X(J) for these (I,J): (661,650), (663,667)
X(649) = isogonal conjugate of X(190)
X(649) = isotomic conjugate of X(1978)
X(649) = X(I)-Ceva conjugate of X(J) for these (I,J): (57,244), (100,42), (101,6), (109,31), (190,1)
X(649) = X(512)-cross conjugate of X(513)
X(649) = crosspoint of X(I) and X(J) for these (I,J): (1,190), (6,101), (57,109), (81,100)X(649) = crosssum of X(I) and X(J) for these (I,J): (1,649), (2,514), (9,522), (37,513), (100,644), (101,1331), (440,525), (523,1213)
X(649) = crossdifference of any two points on line X(1)X(2)