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 sin 2A csc 3A : sin 2B csc 3B : sin 2C csc 3C
= 1/(4 cos A - sec A) : 1/(4 cos B - sec B) : 1/(4 cos C sec C)Barycentrics sin A sin 2A csc 3A : sin B sin 2B csc 3B : sin C sin 2C csc 3C
X(265) lies on these lines: 3,125 4,94 5,49 6,13 30,74 64,382 65,79 67,511 69,328 290,316 300,621 301,622
X(265) = reflection of X(I) in X(J) for these (I,J): (3,125), (110,5), (146,1539), (399,113)
X(265) = isogonal conjugate of X(186)
X(265) = isotomic conjugate of X(340)
X(265) = cevapoint of X(5) and X(30)
X(265) = crosspoint of X(94) and X(328)