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) = (cos A)/(y + z), x : y : z = X(573)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1812) lies on these lines:
2,6 21,60 48,63 58,997 72,1437 78,212 219,332 222,348 274,1231 280,285 306,1332 314,1172 662,1817 860,1330 1006,1092 1412,1708X(1812) = isogonal conjugate of X(1880)
X(1812) = X(I)-Ceva conjugate of X(J) for these (I,J): (314,21), (332,1792)
X(1812) = cevapoint of X(I) and X(J) for these (I,J): (63,394), (78,219)