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) = csc(B + π/3)csc(C - π/3) + csc(C + π/3)csc(B - π/3)
= g(A,B,C) : g(B,C,A) : g(C,A,B), where g(A,B,C) = (sin2A - 3 cos2A)(sin B sin C - 3 cos B cos C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1511) lies on these lines:
2,265 3,74 24,1112 30,113 36,1464 125,128 141,542 146,376 184,974 186,323 214,960 249,842 389,1493
X(1511) = midpoint of X(I) and X(J) for these (I,J): (3,110), (74,399)
X(1511) = reflection of X(I) in X(J) for these (I,J): (125,140), (1539,113)
X(1511) = complementary conjugate of X(2072)
X(1511) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,1154), (110,526)
X(1511) = crosspoint of X(I) and X(J) for these (I,J): (2,340), (15,16)
X(1511) = crosssum of X(13) and X(14)