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 (sec A)/(cos B + cos C) : (sec B)/(cos C + cos A) : (sec C)/(cos A + cos B)
Barycentrics (tan A)/(cos B + cos C) : (tan B)/(cos C + cos A) : (tan C)/(cos A + cos B)
X(29) lies on these lines:
1,92 2,3 8,219 10,1794 33,78 34,77 58,162 65,296 81,189 102,107 112,1311 226,951 242,257 270,283 284,950 314,1039 388,1037 392,1871 497,1036 515,947 648,1121 662,1800 758,1844 894,1868 960,1859 1056,1059 1057,1058 1125,1838 1220,1474 1737,1780 1807,1897 1842,1848X(29) is the {X(3),X(4)}-harmonic conjugate of X(412).
X(29) = isogonal conjugate of X(73)
X(29) = isotomic conjugate of X(307)
X(29) = complement of X(3153)
X(29) = X(286)-Ceva conjugate of X(27)
X(29) = cevapoint of X(I) and X(J) for these (I,J): (1,4), (33,281)
X(29) = X(I)-cross conjugate of X(J) for these (I,J): (1,21), (284,333), (497,314)
X(29) = crosssum of X(I) and X(J) for these (I,J): (1,1047), (228,1409)
X(29) = crossdifference of any two points on line X(647)X(822)
X(29) = X(4)-Hirst inverse of X(415)
X(29) = X(I)-beth conjugate of X(J) for these (I,J): (29,28), (811,29)