Proof in C17 algebra

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1. [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. MR360112
2. [2] Girard, A.1629.— Invention nouvelle en l’algèbre, Leiden: Imprimé chez Muré frères, 1884, D. B. d. Haan (ed.). 
3. [3] Harriot, T.1631.— Artis analyticae praxis, ad Aequationes algebraicas nova, expedita & generali methodo resolvendas, London: Robert Barker, 1631. 
4. [4] Larvor, B.2001.— Old Maps, Crystal Spheres and the Cartesian Circle, Graduate Faculty Philosophy Journal, 22(2), 13-27. 
5. [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. [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. Zbl0756.01010MR1175170
7. [7] Mancosu, P.1996.— Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century, New York/Oxford: Oxford University Press, 1996. Zbl0939.01004MR1382658
8. [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. Zbl0876.01002MR1470715
9. [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. [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. Zbl0602.01008MR837328
11. [11] Viète, F.1646.— Opera mathematica in unam volumen congesta ac recognita, Lugdunum Batavorum: Elzevir, 1646. 
12. [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. Zbl0558.01041MR731262
13. [13] Wallis, J.1684.— A treatise of algebra, both historical and practical, London: printed by John Playford; Oxford: Richard Davis, 1685, 1684.