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) = a0(b3 + c3) - a2(b1 + c1)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
As the isogonal conjugate of a point on the circumcircle, X(758) lies on the line at infinity.
X(758) lies on these lines: 1,21 8,79 10,12 30,511 36,214 46,78 57,997 100,484 354,392 386,986 942,960 982,995
X(758) = isogonal conjugate of X(759)
X(758) = X(1)-Ceva conjugate of X(214)
X(758) = crosssum of X(523) and X(867)
X(758) = crossdifference of any two points on line X(6)X(661)