Day 46 · Feb 15

Birthday of Galileo (1564) — 'The Book of Nature is Written in Mathematics'

Galileo Galilei was born in Pisa on February 15, 1564. He discovered that falling bodies accelerate uniformly — the distance fallen is proportional to the square of time elapsed, not to velocity as Aristotle claimed. He demonstrated this experimentally with inclined planes and water clocks, without calculus (which Newton would invent 80 years later). He also discovered Jupiter's four largest moons, the phases of Venus, and sunspots. But his greatest legacy was methodological: he insisted that nature obeys mathematical laws, and that those laws must be tested by experiment. He wrote: 'The book of nature is written in the language of mathematics.'

Galileo showed that a ball rolling 1 metre in the 1st second rolls 3 metres in the 2nd second and 5 metres in the 3rd. What pattern is this, and why does it imply distance is proportional to time squared?

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