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Rheticus had facilitated the publication of Copernicus' work, and had clearly understood the basic principles of the new planetary theory.
In 1551, with the help of six assistants, Rheticus recalculated and produced the Opus Palatinum de Triangulis (Canon of the Science of Triangles) which became the first publication of tables of all six trigonometric functions. This was intended to be an introduction to his greatest work, The Science of Triangles.
When he died his work was still unfinished, but like Copernicus, Rheticus acquired a student, Valentinus Otho who supervised the calculation (by hand) of some one hundred thousand ratios to at least ten decimal places filling some 1,500 pages. This was finally completed in 1596. These tables were accurate enough to be used as the basis for astronomical calculations up to the early 20th century.
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What is the contribution of Georg Von Purbach in trigonometry?
In Epytoma…in Almagestum Ptolomei, the abridgment of Ptolemy's Almagest which was completed by his student, Regiomontanus, he replaced chords by sines, and calculated tables of sines for every minute of arc for a radius of 600,000 units. He made his observations with very simple instruments, using an ordinary plumb-line to measure the angles of elevation of the stars. He also introduced a mathematical innovation by using Hindu-Arabic numerals in his sine tables, the first transition from the duodecimal to the decimal system. Peuerbach noted several errors in Ptolemy's calculations, but remained a devotee of the ancient Greek mathematician.
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Georg Joachim, also known as Rheticus(February 16,1514 -December 4,1574), was a mathematician, cartographer, navigational-instrument maker, medical practitioner, and teacher. He is perhaps best known for his trigonometrc tables and as Nicolaus Copernicus's sole pupil. He facilitated the publication of his master's De revolutionibusorbium coelestium (On the Revolutions of the Heavenly Spheres).
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