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 bc(b2 + c2) : ca(c2 + a2) : ab(a2 + b2)
= csc2A sin(A + ω) : csc2B sin(B + ω) : csc2C sin(C + ω)Barycentrics b2 + c2 : c2 + a2 : a2 + b2
X(141) = X(6)-of-medial triangle
X(141) lies on these lines:
2,6 3,66 5,211 10,142 37,742 39,732 45,344 53,264 67,110 75,334 76,698 95,287 99,755 113,127 116,121 125,126 140,182 239,319 241,307 308,670 311,338 317,458 320,894 384,1031 441,577 498,611 499,613 523,882 542,549 575,629 997,1060X(141) is the {X(2),X(69)}-harmonic conjugate of X(6).
X(141) = midpoint of X(I) and X(J) for these (I,J): (6,69), (66,159), (67,110)
X(141) = reflection of X(I) in X(J) for these (I,J): (182,140), (597,2), (1353,575), (1386,1125)
X(141) = isogonal conjugate of X(251)
X(141) = isotomic conjugate of X(83)
X(141) = inverse-in-nine-point-circle of X(625)
X(141) = complement of X(6)
X(141) = complementary conjugate of X(2)
X(141) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,39), (67,524), (110,525)
X(141) = X(39)-cross conjugate of X(427)
X(141) = crosspoint of X(2) and X(76)
X(141) = crosssum of X(6) and X(32)
X(141) = X(39)-Hirst inverse of X(732)
X(141) = X(645)-beth conjugate of X(141)