The discoveries of Johann Kepler and Bonaventura Cavalieri were the foundation upon which Sir Isaac Newton and Gottfried Wilhelm Leibnitz erected that wonderful edifice, the Infinitesimal Calculus.
His reputation was helped by several clever if somewhat wrong-headed publications, including a satirical pamphlet entitled The Theology and Philosophy of Cicero's Somnium Scipionis (1751), a defence of the Hutchinsonians in A Fair, Candid and Impartial State of the Case between Sir Isaac Newton and Mr Hutchinson (1753), and critiques upon William Law (1758) and Benjamin Kennicott (1760).
He visited England, where he was kindly received by Sir Isaac Newton and Edmund Halley (Com.
As a mathematician, he was the only Englishman after Sir Isaac Newton and Roger Cotes capable of holding his own with the Bernoullis; but a great part of the effect of his demonstrations was lost through his failure to express his ideas fully and clearly.
The true order of discovery, however, was as follows: (a) Sir Christo p her Wren made many experiments before the Royal Society, which were afterwards repeated in a corrected form by Sir Isaac Newton in the Principia, experimentally proving that bodies of ascertained comparative weights, when suspended and impelled against one another, forced one another back by impressing on one another opposite changes of velocity inversely as their weights and therefore masses; that is, by impressing on one another equal and opposite changes of momentum.
Similar methods were devised by Sir Isaac Newton and Colin Maclaurin.
Taylor was elected a fellow of the Royal Society early in 1712, sat in the same year on the committee for adjudicating the claims of Sir Isaac Newton and Gottfried Wilhelm Leibnitz, and acted as secretary to the society from the 13th of January 1714 to the 21st of October 1718.
Sir Isaac Newton appears to have been the first to use a glass globe instead of sulphur (Optics, 8th Query).
Although for a time it was lost sight of on the continent, Sir Isaac Newton thought so highly of this book that he prepared an annotated edition which was published in Cambridge in 1672, with the addition of the plates which had been planned by Varenius, but not produced by the original publishers.
As it was, the importance of Kepler's generalizations was not fully appreciated until Sir Isaac Newton made them the corner-stone of his new cosmic edifice.