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 (4a + b + c)/a : (4b + c + a)/b : (4c + a + b)/c
Barycentrics 4a + b + c : 4b + c + a : 4c + a + b
X(551) lies on these lines: 1,2 30,946 37,537 56,553 86,99 142,214 226,535 354,392 376,516 381,515 514,676 517,549 518,597 527,993 547,952
(Antreas Hatzipolakis, 1/24/00, Hyacinthos #223)
X(551) = midpoint of X(I) and X(J) for these (I,J): (2,1125), (10,2)
X(551) = reflection of X(I) in X(J) for these (I,J): (14,619), (148,13), (616,99), (622,299)