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 (cos A)[1 - cos A cos(B - C)] : (cos B)[1 - cos B cos(C - A)] : (cos C)[1 - cos C cos(A - B)]
Barycentrics (sin 2A)[1 - cos A cos(B - C)] : (sin 2B)[1 - cos B cos(C - A)] : (sin 2C)[1 - cos C cos(A - B)]
X(185) lies on these lines:
1,296 3,49 4,51 5,113 6,64 20,193 25,1498 30,52 39,217 54,74 72,916 287,384 378,578 382,568 411,970 648,1105X(185) = reflection of X(I) in X(J) for these (I,J): (4,389), (125,974)
X(185) = isogonal conjugate of X(1105)
X(185) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,417), (4,235)
X(185) = crosspoint of X(3) and X(4)
X(185) = crosssum of X(I) and X(J) for these (I,J): (3,4), (25,1249)