System View (3D Orbits)
Earth View (Celestial Sphere)

Ptolemaic System

Deferent Geometry

Earth-Center distance. Equant is 2x further.

Epicycle Geometry

Motion (Speeds)

Third Dimension (Inclinations)

Earth (Center)
Deferent Center (M)
Equant (Q)
Epicycle Center (C)
Planet (P)