Hans Lippershey invented the first refracting telescope.
Galileo creates an improved version of Lippershey's telescope
Galileo discovers the 4 largest moons of Jupiter, sunspots on the Sun, phases of Venus, and craters on the Moon
Galileo makes many observations about the solar system using his new telescope
Galileo discovers that Venus goes through phases like Earth
Galileo visits Rome to demonstrate the telescope
Galileo writes his first report on sunspots
Galileo writes theory about tides, which proves that the Earth moves.
Galileo writes his "Assayer..." in which he debates the difference between primary properties, (measurable, quantative) and other properties (smell) and writes his famous quote, "The Book of Nature is written with Mathematical characters."