1736 in science

	… 1726; 1727; 1728; 1729; 1730; 1731; 1732; ; 1733; 1734; 1735; 1736; 1737; 1738; 1739; ; 1740; 1741; 1742; 1743; 1744; 1745; 1746 …;
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The year 1736 in science and technology involved some significant events.

Botany

Charles Marie de La Condamine, with François Fresneau Gataudière, makes the first scientific observations of rubber, in Ecuador.^[1]

June 8 – Leonhard Euler writes to James Stirling describing the Euler–Maclaurin formula, providing a connection between integrals and calculus.
Euler produces the first published proof of Fermat's "little theorem".^[3]
Sir Isaac Newton's Method of Fluxions (1671), describing his method of differential calculus, is first published (posthumously) and Thomas Bayes publishes a defense of its logical foundations against the criticism of George Berkeley (anonymously).^[4]

Early 1736 – The “Publick Workhouse and House of Correction” that is to become Bellevue Hospital in New York City is ready for occupancy.^[5]^[6]
c. October – Winchester County Hospital, established by Prebendary Alured Clarke, the first voluntary general hospital in the English provinces.

September 16 – Gabriel Fahrenheit, German-born Dutch physicist and engineer (born 1686)
October 13 – Georges Mareschal, French surgeon (born 1658)^[10]