1994. Collinear Points

1983. A Circumcircle Through Circumcenter of ABC

1979. A Circle Through Midpoint

1960. Triangles Inscribed In a Conic of ABC

1957. Concurrent Circles On Circumcircle

1946. A-Mixtilinear Hyperbola

1943. Four Congruent Circles

1937. Concurrent Tangents

1935. Collinear Points

1893. A Construction For X(10409) = COLLINGS TRANSFORM OF X(623).

1886. Another Circle Tangent To Circumcircle at X(109)

1884. Circles Tangent To Circumcircle

1883. A Symmedian point On Euler Line

1882. A Circle Tangent To Circumcircle of ABC

1881. Circles Through Poncelet Point

1874. A Family Of Conics Centered at X(5)-NPC Center (Part 2)

1871. Collinear Points

 Let I=X(1)- Incenter of ABC. P be a point on Circumcircle of ABC with first barycentric (a^2(x-y)(x-z):...:...)  Pa,Pb,Pc inverse of P in the circles BIC, CIA, AIB resp.

* I, Pa, Pb, Pc lie on same line. 
** Trilinear pole of  line has first barycentric (a (x-y)(x-z):...:...).
Some pairs (P,Q)=(Xi, Xj) where Q is trilinear pole of the line.
{(74, 2349), (98,1821), (99, 799), (100,190)....}

1858. A Construction For X(1319)-Bevan-Schröder Point

1852. Points On Circumcircle

1838. Another Myakishev Associate Triangles By Inversion