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 A + cos(B - C)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(427) lies on these lines:
2,3 6,66 11,33 12,34 51,125 53,232 98,275 112,251 114,136 183,317 230,571 264,305 343,511X(427) = midpoint of X(4) and X(378)
X(427) = isogonal conjugate of X(1176)
X(427) = isotomic conjugate of X(1799)
X(427) = inverse-in-nine-point-circle of X(468)
X(427) = inverse-in-orthocentroidal-circle of X(25)
X(427) = complement of X(22)
X(427) = complementary conjugate of X(206)
X(427) = X(112)-Ceva conjugate of X(523)
X(427) = X(39)-cross conjugate of X(141)
X(427) = crosspoint of X(4) and X(264)
X(427) = crosssum of X(I) and X(J) for these (I,J): (3,184), (6,206)
X(427) = X(4)-Hirst inverse of X(420)