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 (b2 - c2)/a3 : (c2 - a2)/b3 : (a2 - b2)/c3
Barycentrics (b2 - c2)/a2 : (c2 - a2)/b2 : (a2 - b2)/c2The barycentric product of X(850) and the circumcircle is the Kiepert hyperbola.
X(850) lies on these lines: 2,647 99,476 110,685 297,525 316,512 325,523 340,520 669,804 670,892
X(850) = isotomic conjugate of X(110)
X(850) = anticomplement of X(647)
X(850) = X(I)-Ceva conjugate of X(J) for these (I,J): (76,338), (99,311), (264,339)
X(850) = X(I)-cross conjugate of X(J) for these (I,J): (115,1502), (125,2), (338,76), (339,264)
X(850) = crosspoint of X(95) and X(99)
X(850) = crosssum of X(I) and X(J) for these (I,J): (32,669), (39,647), (51,512)
X(850) = crossdifference of any two points on line X(32)X(184)