In " Methodus Incrementorum ", Taylor gave the first satisfactory investigation of astronomical refraction.
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Many different formulas have been developed for calculating astronomical refraction; they are reasonably consistent, differing among themselves by a few minutes of arc at the horizon and becoming increasingly consistent as they approach the zenith.
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"' Astronomical refraction "'deals with the angular position of celestial bodies, their appearance as a point source, and through differential refraction, the shape of extended bodies such as the Sun and Moon.
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He also published anonymously an edition of " Euclid's Elements ", which was described as having brought the difficult problems " more within the reach of ordinary understandings . " His later papers in the Philosophical Transactions treat of astronomical refractions, of planetary perturbations, of equilibrium of fluid masses, etc . For his investigations in the first named of these he received a royal medal in 1826 and again in 1839.
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