1983. A Circumcircle Through Circumcenter of ABC

1957. Concurrent Circles On Circumcircle

1956. An Equilateral Triangle

 

1945. Conics Related To Euler Line

1944. Collinear Points

1934.A Property Of Jerabek Hyperbola

1907. An Equilateral Triangle(Devoted to Turkish people died in Earthquakes)

1873. A Family Of Conics Centered at X(5)-NPC center

 Lat ABC be an acute angled triangle and P be a point.

A1B1C1-cevian triangle of P and A2B2C2-circumcevian triangle of P.
Oba=Circumcenter of (BA1A2),  Oca=Circumcenter of (CA1A2).
Circle through the points A2,Oba, Oca intersects the BC at A3, A4.
Define B3,B4,C3,C4 cyclically.

*A3, A4, B3, B4, C3, C4 lie on same conic. For all P, center of conic is X(5)-NPC center.
Are there any remarkable properties of perspectors of these family of conics?

1869. A Locus For K001-Neuberg Cubic (Part 4)

1864. Perspective Cyclic Quadrilaretals

1863. Concyclic Points

1838. Another Myakishev Associate Triangles By Inversion

1828. Concyclic Points, Euler Line

1824. Orthocentroidal Circle, Congruent Circles, Translation

1823. Congruent Circles

1808. Concyclic Points Related to Centroid

1801. A Construction For Parry Point

1797. Conic Problem

1791. Concyclic Points

1781. Concyclic Points