A perspectivity related to midpoints

We take a geometrical problem by Thanos Kalogerakis as startpoint. We use barycentric coordinates to solve it and research generalizations of its configuration.

A perspectivity related to midpoints

Un problema de Armando Ricardo Michuy

Presentamos un problema de Armando Ricardo Michuy y su solución, así como
varias transformaciones del mismo usando conceptos de geometría proyectiva.
También damos una solución usando coordenadas baricéntricas.

Un problema de Armando Ricardo Michuy

Generalization of a Sangaku problem

This is a generalization of a sangaku problem.

• How to make the construction?
• What is the formula for the radius of the two congruent circles?

See details at:

Generalization of a sangaku problem.