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 cos B - cos C : cos C - cos A : cos A - cos B
= (b - c)(b + c - a) : (c - a)(c + a - b) : (a - b)(a + b - c)
Barycentrics sin A (cos B - cos C) : sin B (cos C - cos A) : sin C (cos A - cos B)
= a(b - c)(b + c - a) : b(c - a)(c + a - b) : c(a - b)(a + b - c)
X(650) lies on these lines:
2,693 44,513 55,884 100,919 230,231 241,514 521,1021 663,861
X(650) = midpoint of X(649) and X(661)
X(650) = isogonal conjugate of X(651)
X(650) = complement of X(693)
X(650) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,11), (100,55), (101,37), (108,33)
X(650) = crosspoint of X(I) and X(J) for these (I,J): (2,100), (57,108), (101,284), (514,522)
X(650) = crosssum of X(I) and X(J) for these (I,J): (1,650), (6,513), (9,521), (73,652), (101,109), (222,905), (226,514), (525,1211), (649,1201), (663,1200), (665,1362)
X(650) = crossdifference of any two points on line X(1)X(3)
X(650) = orthojoin of X(1521)