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(42)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1402) lies on these lines:
1,3 21,961 25,1096 31,184 32,1395 42,181 73,1245 98,108 109,741 172,893 226,1284 923,1415 968,1011 1042,1410 1399,1408 1401,1458 1441,1447X(1402) = isogonal conjugate of X(314)
X(1402) = X(I)-Ceva conjugate of X(J) for these (I,J): (56,1400), (65,1409), (961,6), (1037,73), (1400,213)
X(1402) = crosspoint of X(I) and X(J) for these (I,J): (25,31), (56,604), (1042,1400)
X(1402) = crosssum of X(I) and X(J) for these (I,J): (8,312),. (69,75), (333,1043)