Answer:
<u>Aristotle's Model
:</u>
geocentric
planets fixed on nested spheres
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<u>Ptolemy's model:</u>
geocentric
planets fixed on epicycles
accurately predicted the positions of the planets
Explanation:
Let's begin by the fact both models are geocentric and make a brief explanation of them:
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<u>Aristotle's Model
:</u>
Aristotle built his model based on observations and philosophical assumptions, not on measurements or calculations, then he mistakenly thought the Earth was the center of the universe.
So, according to this model, the universe was spherical and finite, with the Earth immobile at its center, composed of the four fundamental elements (made up of spherical layers): <em>ground, water, air and fire</em>; and the Sun along with the fixed planets in their respective concentric spheres (also called nested spheres) revolving around the Earth.
<u>Ptolemy's model:</u>
Ptolemy's model of the universe was also geocentric, placing the Earth motionless in the center of the known universe and was the accepted model for a long time during the Middle Ages.
In this sense, ccording to Ptolemy's model of the universe our planet remains stationary while the other planets, the Moon and the Sun describe complicated orbits around it (called epicycles).
However, this model predicted with an acceptable accuracy for that time the motion of the known planets, until Copernicus appeared with the revolutionary Heliocentric model.