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This theory stated that all of the other planets and stars all revolved around the earth; The earth was the center of it all. THe difference was that there was something that was the center of it all and not just randomly going somewhere.
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Stated that all of the objects moved towards their "natural place". The lighter the objects were the faster they moved.
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Newton's theory explained (through math) that there was gravity everywhere not just on earth. This differed from past ideas because they thought it was only "available" on earth (gravity).
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Believed the same thing as the Newton Theory, used the math to solve gravity's constant.
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Einstein believed that gravity wasn't a force at all, he thought it was a distortion in the shape of space/time (the 4th demension).