Ptolemaic System: The Ptolemaic system was the geocentric model of the universe developed by the ancient Greek astronomer Ptolemy, which placed the Earth at the center of the universe with the Sun, Moon, and planets orbiting in circular paths around the Earth.
Epicycles:Epicycles were circular paths that Ptolemy proposed the planets followed in order to account for their observed complex motions in the geocentric model, with each planet moving along a small circle (the epicycle) that was itself moving along a larger circle (the deferent) centered on the Earth.
Celestial Sphere:The celestial sphere is the imaginary spherical surface upon which all celestial objects are projected in the geocentric model, with the Earth at the exact center of this sphere.