In what ways does Galileo adopt a rationalist approach to knowledge in his writings?

In what ways does Galileo adopt a rationalist approach to knowledge in his writings? In what ways does he adopt an empiricist approach? Keep in mind that Galileo does not always bring attention to these epistemological debates in his work and in some cases might not even be aware of them (this is especially true when it comes to Descartes, whose major works were written after Galileo reached intellectual maturity, and Hume, who wrote long after Galileo died).

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