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 A cot A/2 : sec B cot B/2 : sec C cot C/2
= csc A + 2 csc 2A : csc B + 2 csc 2B : csc C + 2 csc 2C
= (1 + sec A)/a : (1 + sec B)/b : (1 + sec C)/cBarycentrics tan A cot A/2 : tan B cot B/2 : tan C cot C/2
= 1 + sec A : 1 + sec B : 1 + sec C
X(281) lies on these lines:
1,282 2,92 4,9 7,653 8,29 28,958 33,200 37,158 45,53 48,944 100,1013 189,222 196,226 220,594 240,984 264,344 268,1012 318,346 380,950 451,1068 515,610 612,1096X(281) = isogonal conjugate of X(222)
X(281) = isotomic conjugate of X(348)
X(281) = complement of X(347)
X(281) = X(I)-Ceva conjugate of X(J) for these (I,J): (29,33), (92,4)
X(281) = X(I)-cross conjugate of X(J) for these (I,J): (33,4), (37,9), (55,8)
X(281) = crosspoint of X(I) and X(J) for these (I,J): (2,280), (92,318)
X(281) = crosssum of X(I) and X(J) for these (I,J): (6,221), (48,603), (73,1409), (652,1364)