1644 in science
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- The Basel problem is posed by Pietro Mengoli, and will puzzle mathematicians until solved by Leonhard Euler in 1731.
- Jan Baptist van Helmont publishes Dageraad ofte Nieuwe Opkomst der Geneeskunst ("Daybreak, or the New Rise of Medicine").
- 25 September – Ole Rømer, Danish astronomer who makes the first quantitative measurements of the speed of light (died 1710)