Galileo appealed to the evidence of

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observations and experiments to support his heliocentric theory. He made numerous astronomical observations with his telescope, including the phases of Venus, the moons of Jupiter, and the uneven surface of the Moon. These observations provided empirical evidence that supported the idea that the Earth and other planets revolved around the Sun, rather than the commonly accepted geocentric model at the time. Galileo also conducted experiments, such as dropping objects of different masses from the Leaning Tower of Pisa, to demonstrate the universality of gravitational acceleration. These experiments further supported his theory and challenged the prevailing Aristotelian view of motion. Overall, Galileo's reliance on empirical evidence helped solidify his arguments and contributed to the eventual acceptance of the heliocentric model.