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 2 cos A + cos B cos C : 2 cos B + cos C cos A : 2 cos C + cos A cos B
= cos A + sin B sin C : cos B + sin C sin A : cos C + sin A sin BBarycentrics (sin A)(2 cos A + cos B cos C) : (sin B)(2 cos B + cos C cos A) : (sin C)(2 cos C + cos A cos B)
X(631) lies on these lines: 1,1000 2,3 10,944 35,497 36,388 54,69 55,1058 56,1056 98,620 104,958 171,602 216,1075 238,601 315,1007 390,496 487,492 488,491 572,966 978,1064
X(631) is the {X(2),X(3)}-harmonic conjugate of X(4).
X(631) = reflection of X(632) in X(140)
X(631) = inverse-in-orthocentroidal-circle of X(3090)
X(631) = complement of X(3091)
X(631) = anticomplement of X(1656)