1714 in science
- March – Roger Cotes publishes Logometrica in the Philosophical Transactions of the Royal Society. He provides the first proof of what is now known as Euler's formula and constructs the logarithmic spiral.
- May – Brook Taylor publishes a paper, written in 1708, in the Philosophical Transactions of the Royal Society which describes his solution to the center of oscillation problem.
- Gottfried Leibniz discusses the harmonic triangle.
- April 14 – Anne, Queen of Great Britain, performs the last touching for the "King's evil".
- Dominique Anel uses the first fine-pointed syringe in surgery, later known as "Anel's syringe".
- Herman Boerhaave introduces a modern system of clinical teaching at the University of Leiden.
- The anatomical engravings of Bartolomeo Eustachi (died 1574) are published for the first time as Tabulae anatomicae by Giovanni Maria Lancisi.
- July – The Parliament of Great Britain offers the Longitude prize to anyone who can solve the problem of accurately determining a ship's longitude.
- January 21 – Anna Morandi, Bolognese anatomist (died 1774)
- January 6 – Percivall Pott, English surgeon (died 1788)
- June 17 – César-François Cassini de Thury, French astronomer (died 1784)
- September 6 – Robert Whytt, Scottish physician (died 1766)
- October 16 – Giovanni Arduino, Italian geologist (died 1795)
- October 25 – James Burnett, Lord Monboddo, Scottish philosopher and evolutionary thinker (died 1799)
- December 19 – John Winthrop, American astronomer (died 1779)
- December 31 – Arima Yoriyuki, Japanese mathematician (died 1783)
- Alexander Wilson, Scottish surgeon, type founder, astronomer, meteorologist and mathematician (died 1786)
- October 5 – Kaibara Ekiken, Japanese philosopher and botanist (born 1630)
- November 1 – John Radcliffe, English physician and benefactor (born 1652)
- November 5 – Bernardino Ramazzini, Italian physician (born 1633)
- Vol. 28: p. 40.
- Crilly, Tony (2007). 50 Mathematical Ideas you really need to know. London: Quercus. p. 53. ISBN 978-1-84724-008-8.
- Werrett, Simon (2000). "Healing the Nation's Wounds: Royal Ritual and Experimental Philosophy in Restoration England". History of Science. 38: 377–99. Bibcode:2000HisSc..38..377W.
- Firkin, B. G.; Whitworth, J. A. (1996). Dictionary of Medical Eponyms (2nd ed.). New York: Parthenon Publishing Group. p. 225. ISBN 1-85070-477-5.