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 1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b), where f(a,b,c) is as in X(1172)
= cot A (cos B + cos C) : cot B (cos C + cos A) : cot C (cos A + cos B) (Darij Grinberg, 4/11/03)
X(1214) lies on these lines:
1,3 2,92 7,464 9,223 10,227 34,405 37,226 63,77 72,73 216,1108 225,442 304,345 306,307 333,664 343,914X(1214) = isogonal conjugate of X(1172)
X(1214) = complement of X(92)
X(1214) = X(I)-Ceva conjugate of X(J) for these (I,J) : (2,226), (77,73), (307,72), (348,307)
X(1214) = cevapoint of X(I) and X(J) for these (I,J): (37,227), (71,73)
X(1214) = X(I)-cross conjugate of X(J) for these (I,J): (71,72), (201,307)
X(1214) = crosspoint of X(I) and X(J) for these (I,J): (2,63), (77,348), (1231,1441)
X(1214) = crosssum of X(I) and X(J) for these (I,J): (6,19), (33,607)