1736 – Born on the 25th of January.
1758 – Lagrange established a society, which was subsequently incorporated as the Turin Academy, and most of his early writings are to be found in the five volumes of its transactions, usually known as the Miscellanea Taurinensia.
1761 – Lagrange stood without a rival as the foremost mathematician living; but the unceasing labor of the preceding nine years had seriously affected his health, and the doctors gave him aids and refused to be responsible for his reason or life unless he would take rest and exercise.
1764 – He produced was on the libration of the Moon, and an explanation as to why the same face was always turned to the earth, a problem which he treated by the aid of virtual work.
1780 – His solution is especially interesting as containing the germ of the idea of generalized equations of motion, equations which he first formally proved.
1766 – Euler left Berlin, and Frederick the Great wrote to Lagrange expressing the wish of "the greatest king in Europe" to have "the greatest mathematician in Europe" resident at his court.
1771 – The most important was the one, in which he discussed how numerous astronomical observations should be combined so as to give the most probable result.
1772 – His essay on the problem of three bodies.
1773 – His contributions to the fourth and fifth volumes, of the Miscellanea Taurinensia.
– His work on the secular equation of the Moon.
1778 – His treatise on cometary perturbations.
1784-1785 – His contributions to the first two volumes, of the transactions of the Turin Academy
1787 – Frederick died, and Lagrange, who had found the climate of Berlin trying, gladly accepted the offer of Louis XVI to migrate to Paris.
1788 – Lagrange re-formulated Classical/Newtonian mechanics to simplify formulas and ease calculations.
1795 – Lagrange was one of the founding members of the Bureau des Longitudes.
– Lagrange was appointed to a mathematical chair at the newly-established École normale, which enjoyed only a brief existence of four months.
1797 – On the establishment of the École Polytechnique, Lagrange was made a professor; and his lectures there are described by mathematicians who had the good fortune to be able to attend them, as almost perfect both in form and matter.
1798 – His "Résolution des équations numériques", published, was also the fruit of his lectures at the Polytechnic.
1808 – Napoleon made Lagrange a Grand Officer of the Legion of Honour and a Comte of the Empire.
1813 – Died in Paris on the 10th of April.