On the 1st of October 1824 he was elected fellow of Trinity, and in December 1826 was appointed Lucasian professor of mathematics in succession to Thomas Turton.
Johnson, whose chief asset was the MS. tragedy of Irene, was at first the host of his former pupil, who, however, before the end of the year took up his residence at Rochester with John Colson (afterwards Lucasian professor at Cambridge).
D'Antelmy, with additions by Charles Bossut (1730-1814), appeared at Paris in 1775; and an English translation of the whole work by John Colson (1680-1760), the Lucasian professor of mathematics at Cambridge, was published in 1801 at the expense of Baron Maseres.
In 1701 he resigned his living to become deputy at Cambridge to Sir Isaac Newton, `Thom two years later he succeeded as Lucasian professor of mathematics.
From 1828 to 1839 Babbage was Lucasian professor of mathematics at Cambridge.
He wrote a paper Analysis per Equationes Numero Terminorum Infinitas, which he put, probably in June 1669, into the hands of Isaac Barrow (then Lucasian professor of mathematics), at the same time giving him permission to communicate the contents to their common friend John Collins (1624-1683), a mathematician of no mean order.
Newton was elected Lucasian professor on the 29th of October 1669.
It is true that the loss to his income which this would have caused was obviated by a patent from the crown in April 1675, allowing him as Lucasian professor to retain his fellowship without the obligation of taking holy orders.
On the 10th of December 1701 Newton resigned his professorship, thereby at the same time resigning his fellowship at Trinity, which he had held with the Lucasian professorship since 1675 by virtue of the royal mandate.
Whiston's claims to succeed Newton in the Lucasian chair were successfully supported by Newton himself.