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 sec B + sec C : sec C + sec A : sec A + sec B
Barycentrics (cos B + cos C) sin 2A : (cos C + cos A) sin 2B : (cos A + cos B) sin 2C
X(73) lies on these lines:
1,4 3,212 6,41 21,651 35,74 36,54 37,836 42,65 55,64 57,386 66,976 68,1060 69,77 72,201 102,947 228,408 284,951 290,336 1036,1037 1057,1059X(73) is the {X(1064),X(1066)}-harmonic conjugate of X(1).
X(73) = isogonal conjugate of X(29)
X(73) = X(1)-Ceva conjugate of X(65)
X(73) = X(228)-cross conjugate of X(71)
X(73) = crosspoint of X(I) and X(J) for these (I,J): (1,3), (77,222), (226,307)
X(73) = crosssum of X(I) and X(J) for these (I,J): (1,4), (33,281)
X(73) = crossdifference of any two points on line X(243)X(522)
X(73) = X(I)-Hirst inverse of X(J) for these (I,J): (1,243), (65,851)
X(73) = X(I)-beth conjugate of X(J) for these (I,J): (1,1042), (3,73), (21,946), (72,72), (100,10), (101,73), (295,73)