Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

too complicated to be written here. Click on the link to download a text file.

X(2), X(3), X(6), X(72), X(226), X(442), X(942), X(1214), X(18591), X(40937), X(51574), X(57719), X(70669), X(70670), X(70671), X(70672), X(70673), X(70674), X(70675)

vertices of the medial triangle

Geometric properties :

K1419 is the isogonal transform of K1174 and the complement of K610.

K1419 meets (O) again at three points which lie on pK(X6, P) where P = (b+c) (-a^2+b^2+c^2) (-a^2 b+b^3-a^2 c-2 a b c-b^2 c-b c^2+c^3) : : , SEARCH = 6.55025773063532, on the lines {X2,X6}, {X27,X2893}, {X29,X1330}, {X63,X440}, {X78,X1060}, etc. P is now X(70669) in ETC.

K1419 meets (L∞) at three points which lie on pK(X6, X40571).

More generally, there are infinitely many pK(Ω, P)with the same points on (L∞) if Ω and the isopivot Q lie on K1419, and the pivot P lies on K610 = pK(X2, X286) which is one of these pKs.

Other examples : pK(X3, X21), pK(X72, X72), pK(X226, X52673), pK(X442, X4), pK(X1214, X1441), pK(X942, X3868).