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) = cot2A - cot B cot C
Trilinears g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b4 + c4 - a2b2 - a2c2 (M. Iliev, 5/13/07)Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1959) lies on these lines:
1,21 2,257 19,326 48,1760 92,304 329,1655 514,661 1444,1761 1762,1812X(1959) = isogonal conjugate of X(1910)
X(1959) = isotomic conjugate of X(1821)
X(1959) = X(I)-Ceva conjugate of X(J) for these (I,J): (293,1958), (1934,38)
X(1959) = X(I)-cross conjugate of X(J) for these (I,J): (6,2065), (114,2), (230,98), (1692,1976), (1733,1821)
X(1959) = crosspoint of X(1) and X(1581)
X(1959) = crosssum of X(I) and X(J) for these (I,J): (1,1580), (240,1957)