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 + 2 cos A : sec B + 2 cos B : sec C + 2 cos C
Barycentrics tan A + sin 2A : tan B + sin 2B : tan C + sin 2C
X(378) lies on these lines:
1,1063 2,3 6,74 33,36 34,35 54,64 99,264 185,578 232,574 477,935 847,1105X(378) is the {X(3),X(4)}-harmonic conjugate of X(24).
X(378) = reflection of X(I) in X(J) for these (I,J): (4,427), (22,3)
X(378) = inverse-in-orthocentroidal-circle of X(403)