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) = 2abc + (b + c)(a - b + c)(a + b - c)
Trilinears = 1 + cos B + cos C : 1 + cos C + cos A : 1 + cos A + cos BBarycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)
X(942) lies on these lines:
1,3 2,72 4,7 5,226 6,169 8,443 10,141 11,113 28,60 30,553 34,222 37,579 42,1066 58,1104 63,405 78,474 212,582 238,1046 277,1002 279,955 284,1100 355,388 496,946 750,976 758,960 962,1058 1042,1064X(942) = midpoint of X(1) and X(65)
X(942) = reflection of X(960) in X(1125)
X(942) = isogonal conjugate of X(943)
X(942) = inverse-in-incircle of X(36)
X(942) = complement of X(72)
X(942) = X(1)-Ceva conjugate of X(500)
X(942) = crosspoint of X(I) and X(J) for these (I,J): (1,79), (2,286), (7,81)
X(942) = crosssum of X(I) and X(J) for these (I,J): (1,35), (6,228), (37,55)