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 sec2A : sec2B : sec2C
= 1/(1 + cos 2A) : 1/(1 + cos 2B) : 1/(1 + cos 2C)Barycentrics sec A tan A : sec B tan B : sec C tan C
X(158) lies on these lines:
1,29 3,243 4,65 10,318 37,281 46,412 47,162 75,240 107,759 225,1093 255,775 286,969 823,897 920,921
X(158) = isogonal conjugate of X(255)
X(158) = isotomic conjugate of X(326)
X(158) = X(I)-cross conjugate of X(J) for these (I,J): (19,92), (225,4)
X(158) = crosssum of X(520) and X(1364)
X(158) = crossdifference of any two points on line X(680)X(822)
X(158) = X(I)-aleph conjugate of X(J) for these (I,J): (821,158), (1105,255)
X(158) = X(107)-beth conjugate of X(34)