The expanded theorem on a section between the planes and a paraboloid

Abstract

1. The sections of the parallel planes which parallel the axis of a Elliptic – Paraboloid with this Paraboloid are the equal Parabols.

2. The sections of the parallel planes which are not parallel to the axis (t) of a Elliptic– Paraboloid was projected in the direction parallel to the axis (t) on any projection plane P are the homothetic curves and homothetic with the sections of Paraboloid was cut by the parallel planes  to the plane of projection.