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(299) lies on these lines:
2,6 3,616 5,633 13,76 14,533 16,532 17,635 30,617 75,554 99,530 140,627 264,473 316,531 317,472 319,559 340,471 381,621 383,511X(299) = midpoint of X(617) and X(622)
X(299) = reflection of X(I) in X(J) for these (I,J): (14,624), (16,619), (298,325), (385,396)
X(299) = isotomic conjugate of X(14)
X(299) = complement of X(3181)
X(299) = anticomplement of X(395)
X(299) = X(301)-Ceva conjugate of X(302)
X(299) = X(16)-cross conjugate of X(471)
X(299) = X(2)-Hirst inverse of X(298)