- May 22 – Giacomo F. Maraldi concludes, from his observations during an eclipse, that the corona is part of the Sun.
- Daniel Bernoulli expresses the numbers of the Fibonacci sequence in terms of the golden ratio.
- Isaac Watts publishes Logic, or The Right Use of Reason in the Enquiry After Truth With a Variety of Rules to Guard Against Error in the Affairs of Religion and Human Life, as well as in the Sciences.
- March 27 – Jane Colden, American botanist (died 1766)
- June 8 – John Smeaton, English civil engineer (died 1792)
- July 10 – Eva Ekeblad, Swedish agronomist, first woman in the Swedish Royal Academy of Science (died 1786)
- September 27 – Anton Friedrich Busching, German geographer (died 1793)
- December 25 – John Michell, English scientist (died 1793)
- Date unknown – Marie Anne Victoire Pigeon, French mathematician (died 1767)
- "Chronology of Discoveries About the Sun". MrEclipse.com. 1999. Retrieved 2012-07-03.
- Crilly, Tony (2007). 50 Mathematical Ideas you really need to know. London: Quercus. p. 44. ISBN 978-1-84724-008-8.
- Boerhaave, H. (1724). Atrocis, nec descripti prius, morbii historia: secundum medicae artis leges conscripta. Leiden: Lugduni Batavorum Boutesteniana.
- Росси́йская акаде́мия нау́к (in Russian). Russian Academy of Sciences.
- "Jean de Hautefeuille (1647-1724)". data.bnf.fr. Retrieved 4 April 2018.