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 - 2a2)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = a2(b2 - c2)(b2 + c2 - 2a2)X(351) is the center of the Parry circle introduced in TCCT (Art. 8.13) as the circle that passes through X(I) for I = 2, 15, 16, 23, 110, 111, 352, 353.
X(351) lies on these lines: 2,804 110,526 184,686 187,237 694,881 865,888
X(351) = isogonal conjugate of X(892)
X(351) = crosspoint of X(110) and X(111)
X(351) = crosssum of X(I) and X(J) for these (I,J): (2,690), (523,524), (850,1236)
X(351) = crossdifference of any two points on line X(2)X(99)