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(2)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(2)
X(1824) lies on these lines:
4,8 10,429 12,431 19,25 27,295 28,1255 34,1887 42,1880 51,1864 65,225 209,1865 210,430 213,607 240,444 278,1002 427,1848 428,528 518,1889 674,1839 756,862 851,1214 942,1068 989,1039 990,1473 1593,1753 1726,1754 1730,1736 1785,1894X(1824) = isogonal conjugate of X(1444)
X(1824) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1826), (33,42), (225,1826)
X(1824) = X(I)-cross conjugate of X(J) for these (I,J): (181,42), (213,37)
X(1824) = crosspoint of X(I) and X(J) for these (I,J): (4,19), (33,1857), (65,1903), (225,1826)
X(1824) = crosssum of X(I) and X(J) for these (I,J): (3,63), (21,1817), (77,1804), (283,1790)