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) = sec B + sec C - sec A (D. Grinberg, 2/25/04)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1745) lies on these lines:
1,4 35,1742 36,978 43,46 78,1330 255,411 579,610 908,1076 920,1758 1464,1836 1716,1756X(1745) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,1), (1935,1046)
X(1745) = X(1148)-cross conjugate of X(1)
X(1745) = X(I)-aleph conjugate of X(J) for these (I,J): (1,46), (2,1726), (3,1745), (6,1716), (63,1763), (174,1708), (188,1158), (259,1721), (266,1722), (365,1707), (366,19), (508,1729), (509,1723), (651,1020)