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

X(2), X(4), X(6), X(21), X(58), X(81), X(572), X(961), X(1169), X(1220), X(1798), X(2298), X(14534) P = isotomic conjugate of X(1211) = cevapoint of K and X(21) = X(14534) 

K379 is the locus of pivots of pKs meeting the circumcircle at the same points as pK(X6, X81). Its pivot is P as defined above and its isopivot is K. It is a member of the class CL043 : the tangents at the intersections with the circumcircle concur. It contains a large number of centers and the collinearities on the cubic are as follows : PX2X1169, PX4X1798, PX21X961, PX58X1220, PX81X2298, X2X4X21, X2X6X81, X2X961X1220, X6X58X572, X6X1169X1798, X6X1220X2298, X21X58X81, X21X1169X2298, X81X961X1798, X572X961X2298. It has the same asymptotic directions as pK(X6, X1211). Its isogonal and isotomic transforms are pK(X2092, X2) and pK(X1228, X76) respectively. K379 is the locus of M whose anticevian triangle is perspective to the circumcevian triangle of X(21). The locus of the perspector is K1173. 
