| Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a2 - b2 - c2 - bc
Trilinears (1 + 2 cos A) csc A : (1 + 2 cos B) csc B : (1 + 2 cos C) csc C (M. Iliev, 4/12/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
This point occurs in a forthcoming paper by Sadi Abu-Saymeh, Mowaffaq Hajja, and Hellmuth Stachel, "Another cubic associated with the triangle."
X(3219) lies on these lines:
1,2308 2,7 8,90 10,191 21,72 31,984 37,81 38,238 42,846 45,940 55,1776 71,1654 100,210 101,1790 172,593 190,321 201,1935 219,1993 220,394 281,1748 306,2895 312,1150 323,1442 324,1948 612,1707 651,1214 748,982 756,896 799,1920 912,1006 938,1728 958,2099 960,1319 1082,2307 1268,2160