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 f(A,B,C) : f(B,C,A) : f(C,A,B), where f(A,B,C) = cos A + sec A
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
X(1593) lies on these lines:
1,1037 2,3 6,64 19,1212 33,56 34,55 51,1204 74,1112 84,1473 184,1498 208,1466 264,1105 578,1181 607,672 1155,1452 1208,1471X(1593) = reflection of X(I) in X(J) for these (I,J): (4,1595), (1181,578)
X(1593) = inverse-in-orthocentroidal-circle of X(235)
X(1593) = crosspoint of X(4) and X(1595)
X(1593) = crosssum of X(3) and X(1181)