1684 in science

Astronomy

• December 10 – Edmond Halley presents the paper De motu corporum in gyrum, containing Isaac Newton's derivation of Kepler's laws of planetary motion from his theory of gravity, to the Royal Society in London.

  Mathematics

• Gottfried Leibniz publishes the first account of differential calculus.

  Publications

• Robert Boyle publishes Experiments and Considerations about the Porosity of Bodies, the first work on this topic.
• Raymond Vieussens publishes Neurographia universalis, a "pioneering work" on the nervous system.

  Births

• Celia Grillo Borromeo, Italian scientist and mathematician

  Deaths

• April 5 – William Brouncker, 2nd Viscount Brouncker, English mathematician
• May 11 – Daniel Whistler, English physician
• May 12 – Edme Mariotte, French physicist known for his recognition of Boyle's law
• October – Dud Dudley, English metallurgist