He was tutor of his college, and held the professorship of rhetoric at Gresham College, London, from 1613 to 1619.
On the outbreak of the First English Civil War in 1642, Button, who sympathised with the parliamentarians, moved to London, and on 15 November 1643 was elected Professor of Geometry at Gresham College, in the place of John Greaves.
The school was most recently based in Barnard's Inn in Holborn, now the home of Gresham College.
college football | Eton College | University College London | Dartmouth College | King's College London | Harvard College | Trinity College | college | Oberlin College | Boston College | University College Dublin | Williams College | Vassar College | college basketball | Winchester College | Imperial College London | Collège de France | Middlebury College | Berklee College of Music | Royal College of Art | Smith College | Royal College of Music | Yale College | New College, Oxford | City College of New York | Amherst College | Magdalen College, Oxford | Kenyon College | Bowdoin College | Naval War College |
Motte's edition of Isaac Newton's Principia (1729) was translated by Andrew Motte (1696–1734), his brother a mathematician and very briefly the lecturer on geometry at Gresham College.
The village is also the ancestral home of the famous Norfolk family of Gresham, whose members included Sir John Gresham, founder of Gresham's School, and Sir Thomas Gresham, founder of Gresham College and the Royal Exchange.
Following the restoration of Charles II, Moray was one founders of the Royal Society at its first formal meeting on Wednesday 28 November 1660, at the premises of Gresham College on Bishopsgate, at which Christopher Wren, Gresham Professor of Astronomy, delivered a lecture.