Venus goes through phases similar to those of Earth's moon.
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Galileo's observations with his telescope supported the concept of heliocentricism. He noted that the satellites of Jupiter and Venus, based on their range of phases, did not match geocentricism supported by Ptolemy. He noted that based on these findings, that the Heliocentric theory was correct.
Heliocentric = The Sun is at the center of our solar system. Geocentric = The Earth is at the center of our solar system. Insisting the Sun is at the center, which it is, once very much angered the church.
The Geocentric or Ptolemaic Model put the earth at the center of the Universe. The Heliocentric Model postulated by Copernicus and, before him, Aristarchus, places the Sun at the center of the Solar System. Galileo's observations proved the validity of the Heliocentric Model.
They both explained which body is in the center of the solar system
From about 1510-1514 Copernicus developed his first general outline of his new heliocentric system.