Spherical Geometry

Does Miquel Theorem hold on the sphere?

Do isogonal lines concur on a sphere?

¡@

Lines of the same color are symmetrical with respect to a midpoint. Does the result hold on the sphere?

Intersections of lines of the same color are symmetrical with respect to a midpoint. Does the result hold on the sphere?

¡@

Lines of the same color are symmetrical with respect to the ex-center. Does the result hold on the sphere?

Does the result hold on the sphere?

¡@

Five Cubes in Dodecahedron

Five Tetrahedra in a Dodecahedron