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) = (1 - cos A)u(a,b,c), where u : v : w = X(521)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1459) lies on these lines:
1,522 6,657 106,953 242,514 513,663 520,647 521,656 649,834X(1459) = reflection of X(656) in X(905)
X(1459) = isogonal conjugate of X(1897)
X(1459) = X(I)-Ceva conjugate of X(J) for these (I,J):
(101,1473), (109,603), (514,649), (905,652), (1331,3), (1332,71), (1433,1364), (1461,6)X(1459) = X(647)-cross conjugate of X(905)
X(1459) = cevapoint of X(647) and X(810)
X(1459) = crosspoint of X(I) and X(J) for these (I,J): (1,109), (3,1331), (81,934), (1332,1444)
X(1459) = crosssum of X(1) and X(522)
X(1459) = crossdifference of any two points on line X(4)X(9)
X(1459) = orthojoin of X(1146)