![]() An interesting point is his proof that the author of the proofs of Euclid’s Elements was not Theon, as was the current opinion, but Euclid himself. In the second part of this work, Buteo criticizes errors of many of his contemporaries, particularly in terminological questions. He also mentions two approximate values for π 3–17/120 (from Ptolemy) and (Indian, although he believed it to be Arab). By contrast, he discusses appreciatively the approximations found by Bryson, Archimedes, and Ptolemy. This is also the main theme of De quadratura circuli, in which Buteo refutes the pretensions of those who claimed to have found the solution of the quadrature, most notably those of his master, Oronce Fine. The most original is Ad problema cubi duplicande, in which he refutes Michael Stifel’s claim of an exact solution to this problem and gives an approximate one. The first nine articles treat mechanical, arithmetical, and geometrical problems. The Opera goemetrica contains fifteen articles on different subjects, the last six showing his interest in law through treatment of such mathematical aspects of jurisprudence as division of land and inheritances. There were such variants as Boteo, Butèon, and Bateon.īuteo published his works only after he was sixty years old. His original French name was Jean Borrel ( bourreau means “executioner”, but is also a popular name for the buzzard, and in this last sense is translated as Buteo). In 1562, during the first of the Wars of Religion, he had to leave the monastery and take refuse with one of his brothers in Romans-sur-Isère. By 1528 he longed for his monastic life and returned to St.-Antoine he was abbot during two of his years there. In 1522 he was sent to Paris, where he studied under Oronce Fine. He had so much feeling for languages and mathematics, we are told, that he soon could comprehend Euclid in the original Greek. Because he did not wish to be a burden to his parents, Buteo entered the Abbaye de St.-Antoine about 1508. 1564–1572)īuteo’s father, François, seigneur d’Espenel, is said to have had twenty children. 631 Norman 1556 Stillwell Science 218.( b. The work of Regiomontanus and Peuerbach therefore constitutes one of the monumental breakthroughs in the practice of navigation. In 1594, Thomas Blundeville would reprint the tables, together with explanations for their use, and thus give Englishmen the first complete canon of trigonometrical functions printed in England (see lots 47-49). Waters, The Art of Navigation in England in Elizabethan and Early Stuart Times, New Haven, 1958, p.353). These tables, being printed in folio-size books, were essentially works for the scholar's desk and astronomer's observatory." (D.W. "When, in the middle of the fifteenth century Peuerbach and his pupil Regiomontanus, Professors of Mathematics at Vienna University, prepared the first modern sine tables, they kept the 360 o division of the circle used by the Greeks but, in order to avoid awkward fractions, they divided the diameter much more minutely, into 20,000 parts. In the second part, Regiomontanus proves the errors of Nicolaus de Cusa's theory of squaring the circle. This fundamental proposition of spherical trigonometry appears as theorem 2 in book V of the treatise. ![]() It contains the earliest statement of the cosine law for spherical triangles, stating the proportionality of the sides of a plane triangle to the sines of the opposite angle. Completed in 1464, De triangulis remained in manuscript for nearly seventy years before being published in this edition, edited by J. De triangulis was Regiomontanus's most important scientific contribution. (Lacks blank l4, some very light browning, occasional minor dampstaining.) Late 18th-century vellum.įIRST EDITION OF THE FIRST PRINTED SYSTEMATIC WORK ON TRIGONOMETRY. Woodcut diagram on main title, numerous woodcut diagrams in text. ![]() Two parts in one volume, 2 o (297 x 194 mm).
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