Aristotle taught that the substances making up the Earth were different from the substance making up the heavens. He also taught that dynamics, the branch of physics that deals with motion, was determined primarily by the nature of the substance that was moving.
For example, stripped to its essentials, Aristotle believed that a stone fell to the ground because the stone and the ground were similar in substance (in terms of Aristotle's four basic elements, they were mostly "earth"). Likewise, smoke rose away from the Earth because in terms of the four basic elements it was primarily air (and some fire), and therefore the smoke wished to be closer to air and further away from earth and water. By the same token, Aristotle held that the more perfect substance (the "quintessence") that made up the heavens had as its nature to execute perfect (that is, uniform circular) motion.
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Aristotle believed that the laws governing the motion of the heavens were a different set of laws than those that governed motion on the Earth. As we have seen, Galileo's concept of inertia was quite contrary to Aristotle's ideas of motion. In Galileo's dynamics the arrow discussed in the adjacent box (with very small frictional forces) continued to fly through the air because of the law of inertia. Conversely, a block of wood on a table stopped sliding once the applied force was removed because of frictional forces between the block and the table that Aristotle had failed to analyze correctly.
In addition, Galileo's extensive telescopic observations of the heavens made it more and more plausible that they were not made from a perfect, unchanging substance. In particular, Galileo's observational confirmation of the Copernican hypothesis suggested that the Earth was just another planet, so maybe it was made from the same material as the other planets. Thus, the groundwork was laid by Galileo (and to a lesser extent by others like Kepler and Copernicus) to overthrow the physics of Aristotle, in addition to his astronomy. It fell to Isaac Newton to bring these threads together and to demonstrate that the laws that governed the heavens were the same laws that governed motion on the surface of the Earth.