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 (b2c2)(b + c)cos A : (c2a2)(c + a)cos B : (a2b2)(a + b)cos C
Barycentrics bc(b + c)cos A : ca(c + a)cos B : ab(a + b)cos C
X(306) lies on these lines:
1,2 27,1043 63,69 72,440 92,264 209,518 226,321 253,329 287,293 304,305 319,333X(306) = isogonal conjugate of X(1474)
X(306) = isotomic conjugate of X(27)
X(306) = complement of X(3187)
X(306) = X(I)-Ceva conjugate of X(J) for these (I,J): (69,72), (312,321), (313,10)
X(306) = X(I)-cross conjugate of X(J) for these (I,J): (71,10), (72,307), (440,2)
X(306) = crosspoint of X(I) and X(J) for these (I,J): (69,304), (312,345)
X(306) = crosssum of X(604) and X(608)