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 (y + z) sec A : (z + x) sec B : (x + y) sec C, x : y : z = X(75)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(75)
X(1843) lies on these lines:
4,69 6,25 24,182 34,1469 112,755 113,1596 125,1205 141,427 143,1353 155,1351 157,571 160,570 181,1395 185,1503 216,237 263,393 373,468 428,524 518,1829 674,1824 1350,1593 1827,1828X(1843) = reflection of X(I) in X(J) for these (I,J): (1205,125), (1289,647)
X(1843) = isogonal conjugate of X(1799)
X(1843) = X(I)-Ceva conjugate for these (I,J): (4,427), (427,39), (1289,647)
X(1843) = crosspoint of X(I) and X(J) for these (I,J): (4,25), (6,66)
X(1843) = crosssum of X(I) and X(J) for these (I,J): (2,22), (3,69)