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
Tycho Brahe the reception of his empirical astronomical work. The first biography of Tycho Brahe, which was also the first full-length biography of any scientist, was written by Pierre Gassendi in 1654. In 1779, Tycho de Hoffmann wrote of Brahe's life in his history of the Brahe family. In 1913, Dreyer published Tycho Brahe's collected works, facilitating further research. Early modern scholarship on Tycho Brahe tended to see the shortcomings of his astronomical model, painting him as a mysticist recalcitrant in accepting the Copernican revolution, and valuing mostly his observations that allowed Kepler to formulate his laws of planetary movement. Especially in