Sketches on the geometry of spheres Spherocollineation; reciprocal transformations; megaspheres of vectorial and ordinary spheres. Megaspheres of parallel vectors. Polar relations of megaspheres

Abstract

I will provide the additional theorems on linear collections of the geometry of vectorial spheres and quadratic collections of ordinary spheres. For a detailed description, as well as a comparison of megaspheres of vectorial and ordinary spheres and an overview of the system of parallel vectors, see the article.