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(80)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(80)
X(1845) lies on these lines:
1,102 4,80 19,1743 34,46 36,186 57,1795 65,389 92,994 117,1737 162,759 407,1829 517,1361 942,1354 1146,1901 1827,1905X(1845) = reflection of X(I) in X(J) for these (I,J): (1364,942), (1785,1875)
X(1845) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1785), (162,1769)
X(1845) = crosspoint of X(4) and X(1870)
X(1845) = crosssum of X(3) and X(1807)