Proof in C17 algebra
Philosophia Scientiae, Volume 9 (2005) no. S2, pp. 43-59.
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     title = {Proof in {C17} algebra},
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Larvor, Brendan. Proof in C17 algebra. Philosophia Scientiae, Volume 9 (2005) no. S2, pp. 43-59. http://archive.numdam.org/item/PHSC_2005__9_S2_43_0/

[1] Cardano, G. 1545.- Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqve rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & obseruationibus rerum in natura... Praeterea Artis magnae; sive, De regvlis algebraicis, liber vnvs, abstrvsissimvs & inexhaustus plane totius arithmeticae thesaurus, ab authore recens multis in locis recognitus & auctus. Item, De aliza regvla liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum geometricas quantitates inquirentis, necessaria coronis, nunc demum in lucem edita, Basileae: Ex officina Henricpetrina, 1570; eng. trans. by T.R. Witmer: The great art: or, The rules of algebra, Cambridge, Massachusetts/London: the M.I.T. Press, 1968. | MR

[2] Girard, A. 1629.- Invention nouvelle en l'algèbre, Leiden: Imprimé chez Muré frères, 1884, D. B. d. Haan (ed.).

[3] Harriot, T. 1631.- Artis analyticae praxis, ad Aequationes algebraicas nova, expedita & generali methodo resolvendas, London: Robert Barker, 1631.

[4] Larvor, B. 2001.- Old Maps, Crystal Spheres and the Cartesian Circle, Graduate Faculty Philosophy Journal, 22(2), 13-27.

[5] Leibniz, G. W. 1960.- Die philosophischen Schriften von Gottfried Wilhelm Leibniz. Hrsg. von C.I. Gerhardt, Hildesheim: G. Olms Verlagsbuchhandlung, 1960, K. I. Gerhardt (ed.).

[6] Mancosu, P. 1992.- Aristotelian Logic and Euclidean Mathematics: Seventeenth-century Developments of the Quaestio de Certitudine Mathematicarum, Studies in the History and Philosophy of Science, 23(2), 241-265. | MR | Zbl

[7] Mancosu, P. 1996.- Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century, New York/Oxford: Oxford University Press, 1996. | MR | Zbl

[8] Pycior, H. M. 1997.- Symbols, impossible numbers, and geometric entanglements: British algebra through the commentaries on Newton's Universal arithmetick, Cambridge, U.K/New York: Cambridge University Press, 1997. | MR | Zbl

[9] Rahn Johann, H. 1668.- An introduction to Algebra, translated out of the High-Dutch into English, by T. Branckner... Much altered and augmented by D. P. [i.e. Dr. John Pell.] Also a table of Odd Numbers less than one hundred thousand, shewing those that are incomposit, and resolving the rest into their factors or coefficients, &c., London: W. G. for Moses Pitt, 1668.

[10] Sasaki, C. 1985.- The Acceptance of the Theory of Proportion in the Sixteenth and Seventeenth Centuries-Barrow's reaction to the Analytic Mathematics, Historia Scientiarum, 29, 83-116. | MR | Zbl

[11] Viète, F. 1646.- Opera mathematica in unam volumen congesta ac recognita, Lugdunum Batavorum: Elzevir, 1646.

[12] Viète, F. 1591.- Opus restitutae mathematicae analyseos, seu algebra nova, 1591; eng. trans. by Wilmer, T. R. The analytic art, Kent (Ohio): Kent State University Press, 1983. | MR | Zbl

[13] Wallis, J. 1684.- A treatise of algebra, both historical and practical, London: printed by John Playford; Oxford: Richard Davis, 1685, 1684.