Tycho Brahe produce much of his astronomical data, Tycho relied heavily on the then new technique of "prosthaphaeresis", an algorithm for approximating products based on trigonometric identities that predated logarithms. Although Tycho admired Copernicus and was the first to teach his theory in Denmark, he was unable to reconcile Copernican theory with the basic laws of Aristotelian physics, that he considered to be foundational. He was also critical of the observational data that Copernicus built his theory on, which he correctly considered to have a high margin of error. Instead, Tycho proposed a "geo-heliocentric" system in which the Sun and Moon orbited
John Craig (physician) John Napier of Merchiston the hint which led to his discovery of logarithms. Anthony à Wood states that This story may not be independently verifiable. Napier himself informed Tycho Brahe, via Craig, of his discovery, some twenty years before it was made public. John Craig (physician) John Craig M.D. (died 1620) was a Scottish physician, known also as an astronomer. He was physician to James VI of Scotland, and accompanied him to England. He also corresponded with Tycho Brahe, and associated with John Napier. He was born in Scotland, the son of an Edinburgh tailor and merchant Robert Craig and