1968. Concyclic Points

1967. Concyclic Points

1966. A Lemoine Type Circle Centered At X(17508)

1965. A Type Of Circlecevian and Concyclic Points

1964. A Construction For X(18569)

 Let A1B1C1 reflection triangle of X(3)-circumcenter on the side lines of ABC.

Tangents to circumcircle of A1B1C1 at A1, B1, C1 form a triangle A2B2C2.*

*Circumcenter of A2B2C2 lies on Euler line of ABC. It's X(18569).

1963. A Triangle Inscribed In Nine-Point Circle

 Let A1B1C1 median triangle of ABC.

A2: Inverse of X(3)-Circumcenter of ABC in the circle with diameter B1C1. 
Define B2, C2 cyclically.

*A2B2C2 is inscribed in the Nine-Point Circle of ABC.

1962. A Type of Bicevian Conic

1961. Similar Triangles

1960. Triangles Inscribed In a Conic of ABC

1959. Circumcenter On Euler Line

1958. A Circumcenter On Euler Line of ABC

1957. Concurrent Circles On Circumcircle