1992. A Geometric Construction For Inverse of 3rd Lemoine Circle Respect to 2nd Lemoine Circle

Dedicated to Francisco Javier García Capitán on the occasion of his birthday.

1988. Circumcenters On Euler Line

 Let ABC be a triangle with P, Q are two points on Euler line of ABC.

A',B',C' are inverse images of A,B,C through circle diameter PQ.

* Circumcenter of  A'B'C' lies on Euler line of ABC.

1982. Collinear Points

 

1979. A Circle Through Midpoint

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.

1951. Another Circle Centered At Incenter

1911. Conic of Inverse points

1904. A Construction For X(14118)(Devoted to Turkish people died in Earthquakes)

1899. A Locus For K001-Neuberg Cubic (Part 5)

1898. Collinear Points

1897. Collinear Points

1896. Collinear Points

1891. An Equilateral Triangle

1888. Triangles Inscribed In The Incircle

 

1885. A Construction For X(17814)

1883. A Symmedian point On Euler Line

1882. A Circle Tangent To Circumcircle of ABC

1881. Circles Through Poncelet Point

1880. Poncelet Related

1872. Concyclic Points