John Dawson (surgeon)
John Dawson (1734 – 19 September 1820) was both an English mathematician and physician. He was born at Raygill in Garsdale, then in the West Riding of Yorkshire, where "Dawson's Rock" celebrates the site of his early thinking about conic sections. After learning surgery from Henry Bracken of Lancaster, he worked as a surgeon in Sedbergh for a year, then went to study medicine at Edinburgh, walking 150 miles there with his savings stitched into his coat. Despite a very frugal lifestyle, he was unable to complete his degree, and had to return to Garsdale until he earned enough as a surgeon and as a private tutor in Mathematics at Sedbergh School to enable him to complete his MD from London in 1765. Dawson published The Doctrine of Philosophical Necessity Briefly Invalidated in 1781, arguing against Joseph Priestley's doctrine of Philosophical Necessity, but his main skill was in Mathematics. He was a private tutor to many undergraduates at the University of Cambridge where his pupils included twelve Senior Wranglers between 1781 and 1807. Although he published little original work, he was skilled in correcting errors in the work of others. He studied the orbit of the moon and the dynamics