1659 in science
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- Christiaan Huygens publishes Systema Saturnium, including the first illustration of the Orion Nebula.
- First known use of the term Abscissa, by Stefano degli Angeli.
- Swiss mathematician Johann Rahn publishes Teutsche Algebra containing the first printed use of the mathematical symbols for division (the obelus, ÷) and "therefore" (∴).
- Thomas Willis publishes De Febribus.
- February 27 – William Sherard, English botanist (died 1728)
- June 3 – David Gregory, Scottish astronomer (died 1708)
- According to Moritz Cantor. "Earliest Known Uses of Some of the Words of Mathematics (A)". Jeff Miller Web Pages. 2010-11-14. Retrieved 2011-04-24.