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/[a(b + c)2] : 1/[b(c + a)2] : 1/[c(a + b)2]
Barycentrics 1/(b + c)2 : 1/(c + a)2 : 1/(a + b)2
X(1509) lies on these lines:
1,99 2,1171 58,86 76,940 81,239 552,553 593,763X(1509) = isogonal conjugate of X(1500)
X(1509) = isotomic conjugate of X(594)
X(1509) = X(873)-Ceva conjugate of X(261)
X(1509) = cevapoint of X(81) and X(86)
X(1509) = X(I)-cross conjugate of X(J) for these (I,J): (81,757), (86,873), (757,552), (1019,99)