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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(b2 - c2)(b2 + c2 - a2)
= u(A,B,C) : u(B,C,A) : u(C,A,B), where u(A,B,C) = sin 2A sin(B - C)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)X(647) = point whose trilinears are coefficients for the Euler line.
X(647) = radical center of the circumcircle, nine-point center, and Brocard circle (Wilson Stothers, 3/13/2003)
X(647) lies on these lines: 1,1021 2,850 50,654 111,842 184,878 187,237 230,231 441,525 520,652
X(647) = isogonal conjugate of X(648)
X(647) = complement of X(850)
X(647) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,125), (107,51), (110,184), (112,6), (1304,1495)
X(647) = crosspoint of X(I) and X(J) for these (I,J): (2,110), (6,112), (107,275)X(647) = crosssum of X(I) and X(J) for these (I,J): (1,1021), (2,525), (6,523), (110,112), (185,647), (216,520), (512,1196), (651,653), (850,1235)
X(647) = crossdifference of any two points on line X(2)X(3)
X(647) = orthojoin of X(125)