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 csc2A sin(A + π/3) : csc2B sin(B + π/3) : csc2C sin(C + π/3)
Barycentrics csc A sin(A + π/3) : csc B sin(B + π/3) : csc C sin(C + π/3)
X(298) lies on these lines:
2,6 3,617 5,634 13,532 14,76 15,533 18,636 99,531 140,628 264,472 316,530 317,473 319,1082 340,470 381,622 511,1080X(298) = midpoint of X(616) and X(621)
X(298) = reflection of X(I) in X(J) for these (I,J): (13,623), (15,618), (299,325), (385,395)
X(298) = isotomic conjugate of X(13)
X(298) = complement of X(3180)
X(298) = anticomplement of X(396)
X(298) = X(300)-Ceva conjugate of X(303)
X(298) = X(15)-cross conjugate of X(470)
X(298) = X(2)-Hirst inverse of X(299)