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 a^{1/2} : b^{1/2} : c^{1/2}
Barycentrics a^{3/2} : b^{3/2} : c^{3/2}For a construction of X(365), see the note at X(2), which provides for a construction barycentric square roots which one can easily extend to a construction for trilinear square roots.
X(365) lies on this line: 1,364
X(365) = isogonal conjugate of X(366)
X(365) = crosssum of X(1) and X(364)