Abstract
Prof. Dr. D. J. Struik started the introduction of his A Concise History of Mathematics as follows: “Mathematics is a vast adventure in ideas; its history reflects some of the noblest thoughts of countless generations”. With this in mind I will give my contribution to Mr. Struik’s Festschrift on the propagation of Arabic science into the West by showing the influence of a twelfth-century mathematical text, translated from the Arabic into Latin, upon a fourteenth-century textbook.
For the authorship of this part see M. Clagett, ‘A Note on the Commensurator Falsely Attributed to Regiomontanus’, Isis 60 (1969) 384, and S. Victor, ‘Johannes de Muris’ Autograph of the De arte mensurandi’, Isis 61 (1970) 389–395.
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Notes
Medicine, Science and Culture, Historical Essays in Honor of Owsei Temkin, Baltimore 1968, pp. 35–49.
H. L. L. Busard, ‘L’Algèbre au Moyen Age: Le “Liber Mensurationum” d’AbûBekr, Journal des Savants, (Paris, 1968 ) 65–124.
D. J. Struik, A Concise History of Mathematics, New York 1948, p. 91.
Compare the Latin text of these propositions given in Appendix I with the text of L. C. Karpinski in his Contributions to the History of Science (Ann Arbor, 1930 ), pp. 70–89.
M. Levey, The Algebra of Abu Kâmil, Madison 1966, p. 10.
M. Curtze, ‘Urkunden zur Geschichte der Mathematik im Mittelalter und der Renaissance’, Abhandlungen zur Geschichte der mathematischen Wissenschaften, No. 12 (Leipzig, 1902 ), 1–183.
B. Boncompagni, Scritti di Leonardo Pisano, Vol. II (Roma, 1862 ), pp. 1–224.
A German translation of this text was made by W. Blaschke and G. Schoppe, ‘Regiomontanus: Commensurator’, Akademie der Wissenschaften und der Litteratur (in Mainz): Abhandlungen der mathematisch-naturwissenschaftlichen Klasse, ann. 1956, Nr. 7.
Savasorda, p. 78; Leonardo, p. 79, both with other numbers. Prop. 41a = Commensurator, no. V. 61, p. 466;
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© 1974 D. Reidel Publishing Company, Dordrecht-Holland
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Busard, H.L.L. (1974). The Second Part of Chapter 5 of the De Arte Mensurandi by Johannes De Muris. In: Cohen, R.S., Stachel, J.J., Wartofsky, M.W. (eds) For Dirk Struik. Boston Studies in the Philosophy of Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2115-9_13
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