bibliography - springer978-3-319-00131-9/1.pdf · bibliography completes works archimedes, heath...

22
Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer in 1897, Cambridge University Press, was based on Heibergs first edition, and the Supplement (1912) containing The Method, on the original edition of Heiberg (in Hermes, xlii, 1907) with the translation by Zeuthen (Bibliotheca Mathematica, vii. 1906/7). (1953), Reed. New York, Dover Publication, 1953. Archimedes, Opera Archimedis Syracusani philosophi et mathematici ingeniosissimi per Nicolaum Tartaleam ... multis erroribus emendata, expurgata, ac in luce posita ... appositisque manu propria figuris quae graeco exemplari deformatae, ac depravatae erant, ad rectissimam symetriam omnia instaurata reducta & reformata elucent Venetiis : per Venturinum Ruffinellum sumptu & requisitione Nicolai de Tartaleis Brixiani, MDXLIII, edited by Nicolo Tartaglia, Venise, Ruffini, 1543. Andersen, Kirsti, (1985) “Cavalieri’s method of indivisibles”, Archive for History of Exact Sciences, vol. 31, pp. 291–367. Barrow, Isaac, (M.W.), Mathematical works of Isaac Barow, Ed. for Trinity college by W. Whewell, Cambridge, University press, 1860. Barrow, Isaac, (M.L.), Lectiones habitae in scholis publicis Academiae Cantabrigiensis, Annis Domini 1664, 1665, 1666 (London, 1683). Copies bearing the dates 1684 and 1685 do exist, but I do not know if they respond to different editions or printings. Variations in the title words may suggest a new edition was brought out at least in 1685: Isaaci Barrow lectiones mathematicae XXIII in quibus principia matheseos generalia exponuntur, habitae Cantabrigiae a. D. 1664, 1665, 1666. Accesserunt ejusdem lectiones IV, in quibus theoremata et problemata Archimedis de sphaera et cylindro methodo analytica eruuntur. It was anglicized as The usefulness of mathematical learning explained and demonstrated, being mathematical lectures read in the publick schools at the University of Cambridge, Translated by the Revd. Mr. John Kirkby, of Egremond in Cumberland, London, S. Austen, 1734. Descartes, Rene ´, (A.T.) Œuvres de Descartes, Edited by Charles Adam et Paul Tannery, Paris, Blanchard, 11 vol., 1897–1913, reed. Paris, CNRS-Vrin, 1987–1991. Euclid, The Thirteen Books of the Elements, translated with introduction and commentary by Sir Thomas L. Heath, Cambridge, University Press, 1908 ; 2nd edition, 3 vol., Cambridge, University Press, 1926 ; New York, Dover Publications, 1956 ; ed. Dover reprint, New-York 1963 ; French translation, notes and commentaries by Bernard Vitrac, LesEle´ments, with a « General Introduction » from Maurice Caveing, 4 volumes, PUF, Paris, 1990–2001. © Springer International Publishing Switzerland 2015 V. Jullien (ed.), Seventeenth-Century Indivisibles Revisited, Science Networks. Historical Studies 49, DOI 10.1007/978-3-319-00131-9 477

Upload: others

Post on 20-Mar-2020

6 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Bibliography

Completes Works

Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the

present writer in 1897, Cambridge University Press, was based on Heiberg’s first edition, andthe Supplement (1912) containing The Method, on the original edition of Heiberg (in Hermes,

xlii, 1907) with the translation by Zeuthen (Bibliotheca Mathematica, vii. 1906/7). (1953),Reed. New York, Dover Publication, 1953.

Archimedes, Opera Archimedis Syracusani philosophi et mathematici ingeniosissimi perNicolaum Tartaleam . . . multis erroribus emendata, expurgata, ac in luce posita . . .appositisque manu propria figuris quae graeco exemplari deformatae, ac depravatae erant,ad rectissimam symetriam omnia instaurata reducta & reformata elucent Venetiis : perVenturinum Ruffinellum sumptu & requisitione Nicolai de Tartaleis Brixiani, MDXLIII, editedby Nicolo Tartaglia, Venise, Ruffini, 1543.

Andersen, Kirsti, (1985) “Cavalieri’s method of indivisibles”, Archive for History of ExactSciences, vol. 31, pp. 291–367.

Barrow, Isaac, (M.W.), Mathematical works of Isaac Barow, Ed. for Trinity college by

W. Whewell, Cambridge, University press, 1860.

Barrow, Isaac, (M.L.), Lectiones habitae in scholis publicis Academiae Cantabrigiensis, AnnisDomini 1664, 1665, 1666 (London, 1683). Copies bearing the dates 1684 and 1685 do exist, butI do not know if they respond to different editions or printings. Variations in the title words may

suggest a new edition was brought out at least in 1685: Isaaci Barrow lectiones mathematicaeXXIII in quibus principia matheseos generalia exponuntur, habitae Cantabrigiae a. D. 1664,1665, 1666. Accesserunt ejusdem lectiones IV, in quibus theoremata et problemata Archimedisde sphaera et cylindro methodo analytica eruuntur. It was anglicized as The usefulness ofmathematical learning explained and demonstrated, being mathematical lectures read in thepublick schools at the University of Cambridge, Translated by the Revd. Mr. John Kirkby, ofEgremond in Cumberland, London, S. Austen, 1734.

Descartes, Rene, (A.T.) Œuvres de Descartes, Edited by Charles Adam et Paul Tannery, Paris,

Blanchard, 11 vol., 1897–1913, reed. Paris, CNRS-Vrin, 1987–1991.

Euclid, The Thirteen Books of the Elements, translated with introduction and commentary by Sir

Thomas L. Heath, Cambridge, University Press, 1908 ; 2nd edition, 3 vol., Cambridge,

University Press, 1926 ; New York, Dover Publications, 1956 ; ed. Dover reprint, New-York

1963 ; French translation, notes and commentaries by Bernard Vitrac, Les Elements, with a «

General Introduction » from Maurice Caveing, 4 volumes, PUF, Paris, 1990–2001.

© Springer International Publishing Switzerland 2015

V. Jullien (ed.), Seventeenth-Century Indivisibles Revisited, Science Networks.Historical Studies 49, DOI 10.1007/978-3-319-00131-9

477

Page 2: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Fermat, Pierre de, Œuvres de Fermat, Edited by Paul Tannery and Charles Henry, 4 vol. and spp.

By Cornelis de Waards, Paris, Gauthier-Villars, 1891–1922.

Galilei Galileo (Ed. Naz), Le Opere di Galileo Galilei, Edizione Nazionale sotto gli auspici di

S.M. il Re d’Italia, a cura di Antonio Favaro, Firenze, G. Barbera, 1890–1909 (20 vol.); reed.,

Firenze, G. Barbera, 1968. On line on Bibliotheque Nationale de France, http://gallica.bnf.fr/

Kepler, Johannes, Joannis Kepleri astronomi opera omnia, ed. Frisch, Christian, 8 vol., Frankfurt

a.M. and Erlangen, Heyder and Zimmer, 1858–1871.

Kepler, Johannes, Kepler Gesammelte Werke, Edited by Max Caspar, Walther von Dyck.

Munchen, C.H. Beck, 24 vol., 1938 ss

Leibniz, Gottfried Wilhelm, (A), S€amtliche Schriften und Briefe, Preussische/Deutsche/Berlin-Brandenburgische und Gottinger Akademie der Wissenschaften, Darmstadt/Leipzig/Berlin,

Akademie Verlag.

Leibniz, Gottfried Wilhelm, Mathematische Schriften, hrsg. Von C.J. Gerhardt, Asher & Comp.,

Berlin, 1849–1850 , vol. I–II; Schmidt, Halle, 1855–1863 , vol. III–VII.

Leibniz, Gottfried Wilhelm Die philosophischen Schriften, hrsg. Von C.J. Gerhardt, Weidmann,

Berlin, 1875–1890 (7 vol.).

Mengoli, Pietro, La corrispondenza di Pietro Mengoli, edited by Gabriele Baroncini and Marta

Cavazza, Florence, Olschki, 1986.

Mersenne, Marin, Correspondance, ed. Mme Tannery, De Waard, Rochot, Beaulieu, CNRS,

16 tomes, Paris 1932–1988.

Newton, Isaac, The Mathematical Papers of Isaac Newton, edited by Derek ThomasWhiteside and

Michael A. Hoskin, Cambridge, Cambridge University Press, 1967–1981, 8 vol.

Newton, Isaac, Isaac Newton’s Papers and Letters on Natural Philosophy and related documents,

edited by I. Bernard Cohen, Cambridge, Mass., Harvard University Press, 1958, 2nd

ed. Cambridge, Mass., Harvard University Press, 1978.

Newton, Isaac, The correspondence of Isaac Newton, edited by Herbert Westren Turnbull a.o,

Cambridge a.o., University Press, 1959–1977, Paperback re-issue, Cambridge [a.o.], Univer-

sity Press, 2008.

Pascal, Blaise, Œuvres de Blaise Pascal, edited in chronological order, with introduction, notes

and comments by Leon Brunschvieg et Pierre Boutroux et Felix Gazier, Paris, Hachette, 9 vol.,

1923–1929.

Pascal, BlaiseOeuvres completes, Bibliotheque de la Pleiade, Gallimard 1954. Nouvelle edition en

1998.

Pascal, Blaise, Œuvres Completes, edited by Louis Lafuma, Paris, Seuil, 1963.

Pascal, Blaise, Œuvres Completes, edited by Jean Mesnard, Paris, Desclee de Brouwer, 1964–

1992 (4 vol. parus).

Rigaud, Stephen Peter, S.J., editor, Correspondence of Scientific Men of Seventeenth Century,including letters of Barrow, Flamsteed, Wallis, and Newton, printed from the originals in thecollection of the Right Honourable the Earl of Macclesfield, Oxford, University Press, 2 vol.,

1841.

Roberval, Gilles Personne de, Divers Ouvrages Monsieur de Roberval, in Histoire de l’academieroyale des sciences depuis son etablissement en 1666 jusqu’a 1686, vol VI, Paris, Imprimerie

Royale, 1693.

Stevin, Simon, The Principal Works of Simon Stevin, edition Struik, Sweet and Zeitlinger, 1958.

Stevin, Simon, Les œuvres mathematiques de Simon Stevin de Bruges. Ou sont inserees lesmemoires mathematiques, esquelles s’est exerce le tres-haut & tres-illustre prince Mauricede Nassau [.]. Le tout reveu, corrige, & augmente par Albert Girard, Leyde, Elzevier, 1634.

Torricelli, Evangelista, Opera geometrica Evangelistae Torricellii [. . .]. Typis Amatoris Masse &Laurentij de Landis, Firenze, de Landis, 1644.

Torricelli, Evangelista, Opere di Evangelista Torricelli, edited by Gino Loria and Giuseppe

Vassura, 4 vol., Faenza, G. Montanari, 1919–1944.

Torricelli, Evangelista, Opere Scelte a Cura di Lanfranco Belloni, Torino, UTET, 1975.Viete, Francois, Francisci Vietæ Opera mathematica in unum volumen congesta ac recognita,

opera atque studio Francisci a Schooten Leydensis, matheseos professoris, edited by F. A.

Schooten, Leyde, Elseveir, 1646 ; Hildesheim, Georg Olms, 1970.

478 Bibliography

Page 3: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Wallis, John, Opera mathematica. ; Johannis Wallisii, Oxford, Robinson, 3 vol., 1693–1699 ;

New York, Olms, 1972.

Wallis, John, The Mathematical Work of John Wallis, D.D. F.R.S. (1616–1703), translated by

Scott, E. J., London, Taylor and Francis, LTD, 1938.

Primary Literature

- 350, Aristote, Physique, text established and translated by H. Carteron, Paris, Les Belles Lettres,1983 ; Aristotle, Physics, translated by Robin Waterfield with introduction and notes by David

Bostock, Oxford, University Press, 2008.

-- 200, Apollonius, Apolloni Pergæi Inclinationum Libri duo, edited by Samuel Horsley, Oxford,

Clarendon, 1770.

1190, Maımonide, Moıse, Le guide des egares, French translation from arabic by S. Munk, St

Amand-Montrond, Verdier, 1979.

1300, Harclay, Henry of, Ordinary Questions, edited by Mark G. Henninger, translated by

R. Edwards and M. Henninger, in Auctores Britannici Mediaevi, vol. XVII and XVIII, The

British Academy, Oxford, University Press, 2008.

1330, Bradwardine, Thomas, see J.E.Murdoch, Mathematics and continuity in the fourteenthcentury, in Mathematics and its Applications to Science and Natural Philosophy in the MiddleAges. Essays in Honor of Mashall Clagett, edited by E. Grant and J.E. Murdoch, Cambridge,

University Press, 1987.

1330, Chatton, Gualterus de, Reportatio super Sententias, Liber II, edited with an introd. and

notes, by Joseph C. Wey, and Girard J. Etzkorn, Toronto, Pontifical Institute of Mediaeval

Studies, 2004.

1340, Wodeham, Adam de, Tractatus de indivisibilibus, A Critical Edition with Introduction,

Translation and Textual Notes by R. Wood, Dordrecht, Boston, London, Kluwer Academic

Publishers, 1988.

1370, Oresme, Nicole, De configurationibus qualitatum et motuum, edited, translated and

commented by Marshall Clagett in Nicole Oresme and the Geometry of Qualities and Motions,Madison, Milwaukee and London, The University of Wisconsin Press, 1968.

1574, Clavius, Christophe, Euclidis Elementorum Libri XV, Accessit XVI. De solidorumregularium comparatione. Omnes perspicuis demonstrabimus, accuratisque scholiis illustrati,Rome, Vincenzo Accolti, 1574.

1604, Valerio, Luca, De centro Gravitatis solidorum libri tres, Lucae Valerii Mathematicae, &Civilis Philosophiae in Gymnasio Romano professoris Romae, Typis Bartholomaei Bonfadini.MDCIIII. Superiorum permissu, Rome, Bonfadini, 1604.

1605, Galilei, Galileo, « Lettre a Sarpi », in Opere di Galileo, Ed. Naz, vol. X, pp. 115–116.1605, Galilei, Galileo, « Fragments pour la lettre a Sarpi », Opere di Galileo, Ed. Naz, vol. 8, pp.

371–377.

1605, Galilei, Galileo, « De motu accelerato », Opere di Galileo, Ed. Naz, vol. 2, pp. 261–266.1609, Kepler Johannes, Astronomia nova, seu Physica Coelestis, tradita commentariis de motibus

stellae Martis ex observationibus G.V. Tychonis Brahe a Joanne Keplero; jussu et sumptibusRudolphi II romanorum imperatoris. . ., Heidelberg, G. Voegelinus, 1609 ; Kepler,

Gesammelte Werke, ed. Max Caspar, Vol. III; ed. Frisch, vol. 4; English translation William

H. Donahue, Johannes Kepler New Astronomy, Cambridge University Press, 1992.

1611, Kepler, Johann, Ioannis Kepleri Sae. Cae. Mtls. Mathematici, Dioptrice seu Demonstratioeorum quae visui et visibilibus propter Conspicilla non ita pridem inventa accidunt.Praemissae Epistolae Galilei dei ijs, quae post editionem Nuncii Siderei ope Perspicilli,nova et admiranda in coelo deprehensa sunt. Item Examen prefationis loannis Penae Galliin Optica Euclidis, de usu Optices in philosophia. Augustae Vindelicorum, typis Davidis

Bibliography 479

Page 4: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Franci. Cum privilegio Cesareo ad annos XV. M.DC.XI, Augsburg, David Franci, 1611 ; OperaOmnia, Vol. ??????, pp. ; Kepler Gesammelte Werke, Band IV, Munchen 1941.

1615, Kepler Johannes, Nova stereometria doliorum vinariorum in primis Austriaci, figuraeomnium aptissimae et usus in eo virguae cubicae compendiosissimus et plane singularis.Accessit stereometriae archimedeae supplementum, Authore Ioanne Kepplero, Imp. Caes.Matthiae I. eiusq; fidd. Ordd. Austriae supra Anasum Mathematico. Cum privilegio Caesareoad annos XV. Anno M.DC.XV. Lincii Excudebat Ioannes Plancus, sumptibus Authoris. Linz,Plancus, 1615 ; Opera Omnia, Vol. IV, pp. 545–646 ; Gesammelte Werke, Vol. IX, Munchen

1943. English trans. by William H. Donahue, Johannes Kepler New Astronomy, Cambridge

University Press, 1992.

1616, Anderson, Alexander, Vindiciae Archimedis, sive elenchus cyclometriae novae, a PhilippoLansbergio, Paris, Laquehay, 1616.

1616, van Lansberg de Meulebeek, Philip, Cyclometria nova : libri duo, Middelburg, Schilders,

1616.

1630, Sover, Bartholomeo, Curvi ac recti proportio, a Bartolomaeo Sovero Friburgensi. InGymnasio Patavino Matheseos Professore promota. Libri sex ad Illustriss. & Excellentiss.Viros Nicolam Contarenum, Iohannem Baptistaa Nani, Dominnicum Molinum eiusdemGymnasii Patavini moderators. Patavii, Ex Typographia Varisci Varisci. MDCXXX.Superiorum permissu, Padoue, Varisci Varisci, 1630.

1632, Cavalieri, Bonaventura, Lo’specchio ustorio overo trattato delle settione coniche Et alcuni loromirabili effetti Intorno al Lume, Caldo, Freddo, Suono, e Moto ancora. Dedicato a gl’illustrissimiSignori Senatori di Bologna, Da F. Bonaventura Cavalieri Milanese Giesuato di S. Girolamoautore e Matematico Primario nell’Inclito Studio dell’istessa Citta In Bologna, presso ClementeFerroni M DC XXXII. Con licenza de’ Superiori, Bologne, Clemente Ferroni, 1632.

1632, Galileo, Galilei, Dialogo sopra i due Massimi sistemi del mundo tolemaico, e copernicano,Firenze, Batista Landini, 1632. Opere di Galileo Ed. Naz., t. VII. English translation by

Stillman Drake, Berkeley and Los Angeles, University of California Press, 1953 ; French

translation by Rene Frereux et Francois de Gandt, Paris, Seuil, 1992.

1635, Cavalieri, Bonaventura, Geometria Indivisibilibus Continuorum Nova quadam rationepromota, Authore P. Bonaventura Cavalerio Mediolan. Ordinis Iesuatorum S. Hieronymi.D. M. Mascarellae Pr. Ac in Almo Bonon. Gymn. Prim. Mathematicarum Professore. AdIllustriss. Et Reverendiss. D. D. Ioannem Ciampolum. Bononiae, Typis Clementis Ferronij.M. DC. XXXV. Superiorum permissu, Bologne, Gio. Battista Ferroni, 1635.

1635, Kepler, Johannes, Epitome Astronomiae Copernicanae, Usitata forma Quaestionum &Responsionum conscriptae . . ., Authore Joanne Keplero, Frankfurt, Schonwetter andWeissius,

1635 ; Opera Omnia, Vol. ????, pp. ?????1635–1641, Guldin, Paul (Habakuk), De centro gravitatis trium specierum quantitatis continue,

Vienne, Gregorius Gelbhaar, 1635–1641.

1638, Galileo, Galilei,Discorsi e dimostrazioni matematiche intorno a due nuove scienze attenentialla mecanica & i movimenti locali, Leide, Elzevier 1638, Opere di Galileo Ed. Naz., t. VIII ;

French translation with introduction, notes, index and comments by Maurice Clavelin, Armand

Colin, Paris, 1970, reed. PUF, 1995 ; English translation by Stillman Drake, The University of

Wisconsin Press, 1974.

1643, Cavalieri, Bonaventura, Trigonometria Plana, Et Sphærica, Linearis, & Logarithmica. HocEst Tam per Sinuum, Tangentium, & Secantium multiplicationem, ac divisionem iuxta Veteres:Quam per Logarithmorum simplice fere additionem iuxta Recentiores; Ad Triangulorumdimetiendos angulos, & latera procedens. Cum Canone duplici Trigonometrico, & ChiliadeNumerorum absolutorum ab 1 usque ad 1000, eorumque Logarithmis, ac differentijs. Opus-culum Universae Mathesi utilissimum: Omniumq; terrestrium, ac coelestium dimensionumPromptuarium. Auctore Fr. Bonaventura Cavalerio Mediolanensi, Ordinis Iesuatorum SanctiHyeronimi: Ac in Almo Bononiensi Gymnasio Primario Mathematicarum Professore.Bononiae, Typis Haeredis Victorij Benatij. MDCXLIII. Superiorum permissu, Bologne,

Vittorio Benati, 1643.

480 Bibliography

Page 5: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

1644, Herigone, Pierre, Cursus Mathematicus, Nova, brevi et clara, Methodo Demonstratus, PerNotas reales & universales, citra usum cuiuscumque idiomatis, intellectu facilis. A PetroHerigono, Mathematico. Parisiis Sumptibus Aegidii Morelli, Archi-typographi Regii. M.DC.XLIV. Cum Privilegio Regis, Paris, Aegide Morelli, 1644.

1644, Mersenne, Le Pere Marin, Cogitata physico-mathematica , in quibus tam naturae quam artiseffectus admirandi certissimis demonstrationibus explicantur, Paris, Antoine Bertier, 1644.

1644, Torricelli, Evangelista, « De Solids Spheralibus; De Motu; De Dimensione Parabolae; De

solido Hyperbolico; Cum Appendicibus de Cycloide, & Coclea in Opera geometrica, 1644 andin Opere, Vol. I, Parte I.

1646, van Schooten, Francois, Francisci a Schooten Leydensis, De Organica ConicarumSectionum In Plano Descriptione, Tractatus. Geometris, Opticis; Præsertim vero Gnomonicis& Mechanicis Utilis. : Cui subnexa est Appendix, de Cubicarum Æquationum resolutione,Leyde, Elzevier, 1646.

1647, Mersenne, Le Pere Marin, Novarum observationum physico-mathematicarum fr. MariniiMersenni tomus III quibus accessit Aristarchus Samius de mundi systemate, Parisiis,Sumptibus Antonii Bertier, via Iacobaea sub signo Fortunae. M.DC.XLVII. Cum PrivilegioRegis, Paris, Antoine Bertier, 1647.

1647, Saint-Vincent, Gregoire de, P. Gregorii A S.TO Vincentio Opus Geometricum Quadraturaecirculi et sectionum coni, Decem Libris comprehensum Antverpiae, apus Ioannem et IacobumMeurios, M.DC.XL VII. Cum privilegio Caesareo et Regis Hispaniarum, Antwerp, Meursius,

1647. Seventeen volumes in folio of manuscripts put together at the college of Gent when

Gregorius of St Vincent died, (MSS 5770 a 5793C), are now at the Bibliotheque royale de

Belgique. They contain principally his preparations for the Opus Geometricum.1647, Cavalieri, Bonaventura, Exercitationes geometricae sex. 1. De priori methodo

Indivisibilium. II. De posteriori methodo Indivisibilium. III. In Paulum Guldinum e SocietateJesu dicta Indivisibilia oppugnantem. IV. De usu eorumdem Ind. in Potestatibus Cossicis.V. De usu dictorum Ind. in unif. diffor. gravibus. VI. De quibusdam Propositionibusmiscellaneis, quarum , synopsim versa pagina ostendit. Auctore F. Bonaventura CavaledoMediolanensi Ordinis Iesuatorum. S. Hyeronimi Priore, et in Almo Bononiensi Archigymnasioprimario Mathematicarum Professore. Ad Illustrissimos, et sapientiss. Senatus Bononiensisquinquaginta Viros, Bononiae, Typis Iacobi Montji. MDCXLVII. Superiorum permissu,Bologne, Jacobi Monti, 1647.

1647, Roberval, Gilles Personne de, « Lettre a Torricelli », in Divers Ouvrages mathematiques etde physique par MMrs les savants de l’Academie Royale des Sciences, Paris, Imprimerie

Royale, 1693, pp. 283–302.

1648, White, Richard, Hemisphaerium dissectum : opus geometrium in quo obiter tractatur demaximis inscriptibilibus & minimis circumscribentibus ratio etiam discutitur quare aliquæpropositiones non admittant solutionem per media plana vel Euclidis Elementa, Cum Methodonova Geometrica qua ad Aequationem reducitur Propositio de Sectione Hemisphaerij inratione data Accessit Appendix de Incriptione in Sphaera Coni Scaleni, & de Supeficie eius.Demum Cubatio cuisdam partis Cylindri dissectae Plano Authore Ricardo Albio Anglo,Romae, Ex Typographia Manelphi Manelphij. 1648. Superiorum permissu, Rome, Manelphi,

1648.

1649, de Sarasa, Antoine A., Solutione problematis A. R. P. Marino Mersenno Minimo propositi[. . .]. Apud Ioannem et Iacobvm Meursios, Antverpiæ, Antwerp, Meursius, 1649.

1650, Cavalieri, Bonaventura, Lo’specchio ustorio del P.F. Bonaventura Cavalieri Giesuato overotrattato Delle Settioni Coniche, E di alcuni loro mirabili effetti Intorno al Lume, Caldo,Freddo, Suono, e Moto. Fatto ristampare, e Dedicato All’Ill.mo Sign. Co. Francesco MariaRiari da Fr. Urbano Davisi Romano Priore nel Convento DI S. Girolamo. In Bologna, pressoGio. Battista Ferroni MDCL. Con Licenza de’ Superiori, Bologne, Gio. Battista Ferroni, 1650.

1650, Mengoli, Pietro, Novae quadraturae arithmeticae seu de additione fractionum, Bologna,Monti, 1650.

Bibliography 481

Page 6: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

1651, Lalouvere, Antoine de, Quadratura Circuli Et Hyperbolae Segmentorum Ex dato eorumcentro gravitatis, una cum inventione proportionis & centri gravitatis in portionibus sphaeraeplurimurumque periphericorum, nec non tetragonismo absoluto certa cuiusdam cylindripartis, & aliorum: Demonstrata atque ad calculum reducta adiumento librae Archimedae &a materia divulsae, quam praesenti Opere restaurat atque amplificat Antonius LaloveraSocietatis Iesu. Tolosae Apud Petrum Bosc, p M.DC.LI, Toulouse, Petrus Bosc, 1651.

1651, Tacquet, Andre, Cylindricorum et annularium libri IV, item de circulorum Volutione perplanum Dissertatio physico-mathematica, apud JacobumMeursium, Antwerp, Meursius, 1651.

1653, Cavalieri, Bonaventura, Geometria Indivisibilibus Continuorum Nova quadam rationepromota, Authore P. Bonaventura Cavalerio Mediolanen. Ordinis S. Hieron. Olim in AlmoBononien. Archigym. Prim. Mathematicarum Profess. In hac postrema edictione ab erroribusexpurgata. Ad Illustriss. D.D. Martium Ursinum Pennae Marchionem & c. Bononiae, M. DC.LIII. Ex Typographia de Ducijs. Superiorum permissu. Bologne, de Ducis, 1653 ; Italian

translation, Geometria degli Indivisibili di Bonaventura Cavalieri a cura di Lucio

Lombardo-Radice Unione tipografico-Editrice Torinese, 1966, Besides the Geometria, it

contains the Exercitatio Ill, In Guldinum, and a selection of letters of Cavalieri to Galileo.

1654, Tacquet, Andre, Elementa geometriæ planæ ac solidæ [Euclid, book 1–6, 11,12]. Quibusaccedunt selecta ex Archimede theoremata, Antwerp, Meursius, 1654.

1655, Pascal, Blaise, Traite du triangle arithmetique, avec quelques autres petits traites sru lameme matiere, Paris, Desprez, 1655.

1655, Bettini, Mario, Apiariorum philosphiae mathematicae tomus tertius : Apiaria universaephilosophiae mathematicae : complectens fucaria, et auctaria militaria, stereometrica, conicaet novas alias iucundas praxes . . .; accessit appendix, . . ., in qua sunt denfensiones contraoppositiones Novalmagesti, autore Mario Bettino, Venise, Baleonius, 1655.

1655, Mengoli, Pietro, Via Regia ad Mathematicas per Arithmeticam, Algebram Speciosam, &Planimetriam, ornata, maiestati Serenissimae D. Christinae Reginae Suecorum, Bologne,Benacci, 1655.

1655, Wallis, John, De Sectionibus Conicis Nova Methodo Expositis, Tractatus. typis L. Lichfield,Academiæ Typographi, Impensis T. Robinson, Oxonii, Oxford, L. Lichfield and T. Robinson,

1655.

1656a, Wallis, John, Arithmetica Infinitorum, sive Nova Methodus Inquirendi in CurvilineorumQuadraturam, alisque difficiliora Matheseos problemata; typis L. Lichfield, AcademiæTypographi, Impensis T. Robinson, Oxonii, Oxford, L. Lichfield and T. Robinson, 1655 ; TheArithmetic of Infinitesimals, Translated from Latin to English with an Introduction by J. A.

Stedall, New York, etc., Springer, 2004.

1656b, Wallis, John, De Angulo Contactus et Semicirculis Disquisitio Geometrica, typisL. Lichfield, Academiæ Typographi, Impensis T. Robinson, Oxonii, Oxford, L. Lichfield and

T. Robinson, 1656.

1657, Bouillau, Ismael, Ismaelis Boullialdi, De lineis spiralibus demonstrationes novae, Paris,Sebastien Cramoisy, 1657.

1657, Wallis, John, Mathesis Universalis, Sive Arithmeticum Opus Integrum [. . .]. typisL. Lichfield, Academiæ Typographi, Impensis T. Robinson, Oxford, L. Lichfield and

T. Robinson, 1657.

1658, Angeli, Stefano, Problemata geometrica sexaginta, Circa Conos, Sphaeras, SuperficiesConicas, Sphaericasque praecipue versantia. A F. Stephano Angeli Veneto, OrdinisIesuatorum S. Hieronymi, In Veneta Provincia Definitore Provincialis, elaborata. Cumprivilegio Venetiis MDCLVlI, Apud Andream Iulianum, De consensus superiorum, Venise,La No�u, 1658.

1658, Pascal, Blaise, Lettre de A. Dettonville a Monsieur de Carcavy, en luy envoyant une Methode generale pour trouver les Centres de gravite de toutes sortes de grandeurs : Un Traittedes Trilignes et de leurs onglets ; Un Traitte des Sinus du quart de Cercle. . . ; Un Traitte desArcs de Cercle ; Un Traitte des Solides circulaires ; Et enfin un un Traitte general de la

482 Bibliography

Page 7: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Roulette, qu’il avoit proposez publiquement au mois de Iuin 1658. A PARIS, M.DC.LVIII,Paris, Guillaume Desprez, 1658.

1658, White, Thomas, Exercitatio geometrica, De Geometria Indivisibilium, & PropositioneSpiralis ad Circulum. Authore, Thoma Anglo, ex Albis East-Saxonum, Londinii, M.DC.LVIII,London, s.n. 1658.

1659, Angeli, Stefano, De infinitis parabolis, de infinitisque solidis ex variis rotationibus ipsarumpartiumque earundem genitis. Una cum nonnullis ad praedictarum magnitudinum aliarumquecentra gravitatis attinentibus. Authore F. Stephano de Angelis Veneto, Ordinis IesuatorumS. Hieronymi, in Veneta Provincia Definitore Provinciali. Venetiis MDCLIX Apud Ioannem LaNo�u, Superiorum permissu, Venise, La No�u, 1659.

1659 Angeli, Stefano, Miscellaneum hyperbolicum et parabolicum : In quo praecipue agitur decentris gravitatis hyperbolae partium eiusdem atque nonnullorum solidorum de quibusnunquam Geometria locuta est .. Authore F. Stephano de Angelis, Venise, La No�u, 1659.

1659, Mengoli, Pietro,Geometriae speciosae elementa : primum de potestatibus, aradice binomia,& residua : Secundum de innumerabilibus numerosis progressionibus : Tertium de quasiproportionibus : Quartum de rationibus logarithmicis : Quintum de proprijs rationumlogarithmis : Sextum de innumerabilibus quadraturis, Superiorum permissu, Bologne, Ferroni,1659.

1659, Viviani, Vincenzo, De maximis et minimis geometrica divinatio, Firenze, Cocchini, 1659.Quadrature of the parabola on page 35 of the first book.

1659, Tacquet, Andre, Opera mathematica, Antverpiae, J. Meursium, 1659.

1660, Lalouvere Antoine de, Veterum Geometria promota in septem de Cycloide Libris et induabus adjectis Appendicibus, VI, Cor. 1, Toulouse, Arnaud Colomerius, 1660.

1660, Angeli, Stefano, Miscellaneum geometrium in quatuor partes divisum : In quarum prima,agitur de mensura, centro gravitatis quorundam solidorum a Geometria nondumconsideratorum . . . Authore F. Stephano de Angelis, Venise, La No�u, 1660.

1660, Angeli, Stefano, De infinitorum spiraliorum spatiorum mensura, opusculum geometricum,authore F. Stephano de Angelis, Venise, La No�u, 1660.

1660, Tacquet, Andre, Veterum Geometria promota in septem de Cycloide Libris et in duabusadjectis Appendicibus, Autore Antonio Lalovera, Societatis Jesu, Toulouse, Arnauld

Colomerius, 1660.

1661, Angeli, Stefano, De infinitarum cochlearum mensuris, ac centris gravitatis : quibus accessitConstructio quorundam problematum geometricorum, authore F. Stephano De Angelis,Venise, La No�u, 1661.

1661, Angeli, Stefano, De superficie ungulae, Et De Quartis Liliorum Parabolicorum, &Cycloidalium. Tractatus Duo Geometrici, Authore F. Stephano de Angelis, Veneto, OrdinisIesuatorum S. Hieronymi, In Veneta Provincia Definitore Provinciali, Venise, La No�u, lejeune, 1661.

1662, Angeli, Stefano, Accessionis ad stereometriam et mecanicam pars prima, Stefano DegliAngeli, Venise, La No�u, 1662.

1662, Arnauld, Antoine and Nicole Pierre, La logique ou l’art de penser, Paris, Charles Savreux,1662 ; Clair and Girbal, Paris, PUF, 1965; translated by Mr Ozell, Logic, or the art of thinking,London, William Taylor, 1727.

1665, Pascal, Blaise, Traite du triangle arithmetique: avec quelques autres petits traitez sur lamesme matiere, Paris, Guillaume Desprez, 1665.

1667, Angeli, Stefano, De infinitis spiralibus inversis, de infinitisque hyperbolis ac aliisgeometricis, authore F. Stefano de Angelis, . . . Padoue, M. Bolzetta de Cadorinis, 1667.

1667, Arnauld Antoine, Nouveaux Elements de Geometrie ; contenant outre un ordre tout nouveauet de nouvelles demonstrations, les propositions les plus communes, de nouveaux moyens defaire voir quelles lignes sont incommensurables, De nouvelles mesures de l’angle dont on nes’estoit point encore avise ; et de nouvelles manieres de trouver et de demontrer la proportiondes lignes. Paris, Claude Savreux, 1667 ; seconde edition, Paris, Guillaume Desprez, 1683 ;

troisieme edition La Haye, Van Duren, 1693.

Bibliography 483

Page 8: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

1668, Rinaldini, Carlo, Caroli Renaldinii Serenissimi Magni Ducis Etruriae Philosophi, acMathematici, olim in Pisana Academia Philosophiam ordinario loco profitentis, Nunc inPatavino Lycaeo Philosophi primae sedis, De Resolutione, & Compositione MathematicaLibri duo, . . . MDCLXVIII Typis, ac Impensis Heredum Pauli Frambotti Bibliopolae, Pavie,Paolo Frambotti, 1668. In his book Renaldini includes large excerpts and figures taken from the

« Exercitationes Geometricae Sex ».

1669, Tacquet, Andre, Cylindrica et Annularia quinque libris comprehensa, Antwerp, Meursius,

1669.

1672, Mengoli, Pietro, Facchinetti, Alessandro, Circolo : A gl’Illustrissimi Signori March.Alessandro Fachenetti Confaloniere Di Giustitia E Signori Del Reggimento di Bologna,Dedicato Da Pietro Mengoli Priore della Maddalena, Lettore di Mecaniche, Dottore dell’una,e l’altra Legge, e di Filosofia Collegiato, Bologna, Benacci, 1672.

1675, Mengoli, Pietro, Arithmetica realis, serenissimo et reverendissimo principi Leopoldo abEtrvria cardinali Medices dicata a Petro Mengolo, Bologne, Benacci, 1675.

1675, Roberval, Gilles Personne de, Elements de Geometrie, manuscripts in the Archives de

l’Academie des Sciences de Paris, first edition with introduction, notes and comentaries by

V. Jullien, Paris, Vrin, 1996.

1675–1676, Leibniz, Gottfried Wilhelm, De quadratura arithmetica circuli ellipseos et hyperbo-lae cujus corolarium est trigonometria sine tabulis, critical edition and commentary by

Eberhard Knobloch, in Abhandlungen der Akademie der Wissenschaften in Gottingen,Mathematisch-physikalische Klasse 3. Folge, Nr. 43, Vandenhoeck and Ruprecht, Gottingen,

1993; French translation, introduction and notes by Marc Parmentier,Quadrature arithmetiquedu cercle, de l’ellipse et de l’hyperbole , Paris, Vrin, Mathesis, 2004.

1682–1713, Leibniz, Gottfried Wilhelm, La naissance du calcul differentiel, 26 articles des ActaEruditorum, with Nova Methodus pro Maximis et Minimis, itemque Tangentibus, quae necfractas nec irrationales quantitates moratur, et singulare pro illis calculi genus (1684), Math.

Schr. V, 220–26. Meditatio nova de natura anguli contactus et osculi, horumque usu inpractica mathesi ad figuras faciliores succedane as difficilioribus substituendas (1686),Math. Schr. VII, 326–329, introduction, translation and notes by Marc Parmentier, Paris,

Vrin, 1989.

1684, Dechales, Claude Francois Milliet, R. P. Claudii Francisci Milliet Dechales camberiensis eSocietate Jesu. Cursus seu mundus mathematicus Tomus tertius : Complectens Musicam,Pyrotechniam, Astrolabia, Gnomicam, Astronomiam, Kalendarium, Algebram, Indivisibiliummethodum, aliasque. Nunc primum in lucem prodit, Lugdini, Ex Officina Anissoniana, M.DC.LXXXIV. Cum privilegio Regis, Lyon, Anisson, 1684. (Tractatus XXX, De Indivisibilibus).

1687, Newton, Isaac, Philosophiæ naturalis principia mathematica. Jussu Societatis Regiæ acTypis Josephi Streater, London, Joseph Streater, 1687 ; Edited by Alexandre Koyre and

I. Bernard Cohen , Cambridge (Mass), 1972 ; The Principia. Mathematical Principles ofNatural Philosophy, A new translation by I. B. Cohen and A. Whitman, assisted by

J. Budenz; preceded by a guide to Newton’s Principia by I. Bernard Cohen, Berkeley, Los

Angeles and London, University of California Press, 1999.1687, Spinoza, Stelkonstige Reeckening van den Regenborg, La Hague, Levyn van Dyck, 1687 ;

latin transl. (1862), « Iridis Computatio algebraic », in supplements aux Œuvres de Spinoza;English transl., M.J. Petry, Algebraic Calculation of the Rainbow; French transl. P.-F. Moreau,

« Calculs algebriques de l’Arc-en-Ciel », Cahiers Spinoza, 5, 1984–85, Paris, pp. 7–69. A to

day controversy exists about the role of Spinoza in this text.

1690, Vitali, Hieronimo, Lexicon Mathematicum : Hoc est Rerum omnium ad universam planeMathesim quoquo modo, directe, vel indirecte spectantium , Collectio et Explicatio ; ContinesTerminorum, prasertim exoticorum, dilucidationem, Noninis rationem, atque Etymologiam,Principia, Praecepta communia, Axiomata, & c. ad brevem, & exactam Doctrinaetraditionem; adiectis, ubi opus est, schematibus, ad pleniorem Tyronum intelligentiam. Utnon immerito quadrivium scientiarum; Ac totius Mathesis Prontuarium dici possit, Rome,

Vannacius, 1690.

484 Bibliography

Page 9: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

1692, Bernoulli, Johann, Lectiones de calculo differentialium et integralium (Ms. A), Manuskript

der Universitatsbibliothek Basel, LIa 6.

1692, Varignon, Pierre, «Dimension d’une espece de coeur que forme une demi-ellipse en tournant

autour d’un de ses diametres obliques », in Memoires de l’ Academie Royale des Sciences,1692.

1693, Roberval, Gilles Personne de, « Traite des indivisibles » in Divers Ouvrages de mathematiques et de physique par MMrs les savants de l’Academie Royale des Sciences, Paris,Imprimerie Royale, 1693, pp. 190–245.

1693, Roberval, Gilles Personne de, « De trochoıde ejusque spatio », in Divers ouvrages mathematiques et de physique par MMrs les savants de l’Academie Royale des Sciences, Paris,Imprimerie Royale, 1693, pp. 246–278.

1696, L’Hopital, Guillaume, Marquis de, Analyse des infiniment petits pour l’intelligence deslignes courbes, Paris, Jombert, 1696 ; reed. 1716 then in 1768 by Didot le jeune.

1700, Halley, Edmund, « De Iride, sive de Actu Cœlesti, dissertatio Geometrico, qua methodo

directa hidis utriusq ; Diameter, data Ratione Refractionis, obtinetur : Cum solutione Inversi

Problematis, sive Inventione Rationis istius ex data Arcus Diametro », Philosophical Trans-actions, 1700–1701, pp. 714–725.

1701, Grandi, Guido, Geometrica demonstratio theorematum Hugenianorum circa logisticam, seulogarithmicam lineam, Qua occasione plures Geometricae Methodi exhibentur circaTangentes, Quadratures, Centra gravitatis, Solida, &c. variarum curvarum, uti infinitarumParabolarum, Hyperbolarum, Spiralium, &c. Aliaeque Geometricae Veritates illustrantur.Addita epistola geometrica ad P. Thomam Cevam S.J. Auctore D. Guidone Grando Cremonesi,Monacho Camaldulensi, & in Almo Pisano Lyceo Publ. Philosophiae Professore. Adserenissimum Ferdinandum Ill. Magnum Etruriae Principem. Florentiae, MDCCI, Superiorumpermissu. Firenze, Pietro Antonio Brigonci, pp. 20–29.

1710, Leibniz, Gottfried Wilhelm, essais de theodicee sur la bonte de Dieu, la Liberte de l’hommeet l’origine du mal, chez Isaac Troyel, Paris, 1710, in 8�. Reed. Phil. Schr. VI. English transl.

Theodicy: Essays on the Goodness of God, the Freedom of Man and the Origins of Evil,Translated by Austin Marsden Farrer. Chicago: Open Court Publishing, 1985

1734, Berkeley, George, the analyst, or a discourse addressed to an infidel mathematician,London, 1734, translated by M. Blay, Œuvres de Berkley, PUF, 1983–92, tome II, 1985.

1735, Stone, Edmund, Analise des infiniment petits comprenant le Calcul integral dans toute son etendue, trad. fr. M. Rondet, Paris, J.M. Gandouin, P. F. Giffart, 1735.

1735, Castel Louis-Bertrand, in Edmund Stone, Analise des infiniment petit. . . The long prelim-

inary text by Castel (exactly one hundred pages) will be referred as Discours de Castel sur leCalcul.

1738, Doria, Paolo Mattia, Raccolta delle opere mattematiche di P. M. D., con l’aggiunta di alcunitrattati dell’Autore, dedicata a posteri. Divisa in due Parti , Saggi geometrico, logici, emetafisici su del metodo degl’indivisibili, in Venezia MDCCXXXVIII, Venise, s.n. 1738.

1742, Bernoulli, Johann, Opera Omnia tam antea sparsim edita quam hactenus inedita, Lausanne,Geneve, Bousquet, 1742.

1748, Agnesi, Maria Gaetana, Instituzioni Analitiche Ad Uso Della Gioventu’ Italiana. di DnaMaria Gaetana Agnesi Milanese Dell’Accademia delle Scienze di Bologna. Tomo ll in Milano,MDCCXLVIII. Nella Regia-Ducalcorte, con licenza de’ superiori, Milan, Regia-Ducalcorte,1748.

1750, Fagnano, Giulio Carlo, « dell’infinitesimo e dell’infinito », in Produzioni matematiche delConte Giulio Carlo di Fagnano, Marchese de’ Toschi e de’ Sant’ Onorio, Pesaro, stamperia

Gavelliana, 1750, vol. II, pp. ??????.

1772, la Caille, Nicolas Louis, Abbe de, Clarissimi viri D. De La Caille, Lectiones elementaresmathematicæ, seu elementa algebræ et geometriæ in Latinum traductæ, et ad editionemParisinam anni MDCCLIX denuo exactæ a C.S. e S.J. anno MDCCLXXII, Vienne,

J.T. Trattner, 1772.

Bibliography 485

Page 10: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

1772, Boyle, Robert, The Works of the Honorable Robert Boyle, ed. Thomas Birch, (6 volumes),

London., Works, London, 1772.1784, D’Alembert, Jean le Rond, entry « Limite » in the Encyclopedie Methodique, Mathematique,

Paris, Panckouke et Liege, Plomteux, 1784, 3 vol. ; reprint ACL ed., 1987, t.II, 310a.

1784, Encyclopedie methodique, Mathematiques, Paris, Panckouke et Liege, Plomteux, 1784,

3 vol. ; reprint. ACL-editions, Paris, 1987

1785, Rocca, Gianantonio, Lettere d’uomini illustri del secolo XVII a Gianantonio Roccafilosopho reggiano con alcune del Racca a medesimi in Modena MDCCLXXV, presso lasocieta tipografica, Con Iicenza de’ Superiori, n� LXXXVIII, Modena., Societa Tipografica,

1785.

1797, Carnot, Lazare, Reflexions sur la metaphysique du Calcul infinitesimal, Paris, Duprat, 1797 ;4th ed. 1860 ; reed. Paris, Albert Blanchard, 1970.

1841, Correspondence of Scientific Men of Seventeenth Century : including letters of Barrow,Flamsteed, Wallis, and Newton, printed from the originals in the collection of the RightHonourable the Earl of Macclesfield, edited by Rigaud, Stephen Jordan, Oxford, University

Press, 2 vol., 1841 ; Hildesheim, Olms, 1965.

Secondary Litterature

Andersen, Kirsti, (1985) « Cavalieri’s theory of indivisibles », Archive for the History of ExactSciences, vol. 31, issue 4, pp. 291–367.

Arthur Richard T.W. (ed) (2001), G.W. Leibniz, The Labyrinth of the Continuum. Writings on theContinuum Problem, 1672–1686, New Haven and London, Yale University Press.

Arthur Richard T.W. (2009), “Actual Infinitesimals in Leibniz’s Early Thought”, in The Philos-

ophy of the Young Leibniz, Studia Leibnitiana Sonderhefte 35, ed. Mark Kulstad, Mogens

Laerke and David Snyder, 2009, pp. 11–28.

Auger, Leon (1962), Un savant meconnu: Gilles Personne de Roberval (1602–1675), Paris,Blanchard, 1962.

Baron, Margaret E. (1969), The Origins of infinitesimal Calculus, Oxford, Pergamon Press, 1969.

Beeley, Philip (1996) Kontinuit€at und Mechanismus. Zur Philosophie des jungen Leibniz in ihremideen geschichtlichen Kontext, Stuttgart, Franz Steiner Verlag, Studia LeibnitianaSupplementa, Vol. 30.

Belaval, Yvon (1960), Leibniz critique de Descartes, Paris, Gallimard, 1960.

Belloni, Lanfranco (1987), « Torricelli et son epoque. Le triumvirat des eleves de Castelli :

Magiotti, Nardi et Torricelli » in De Gandt, Francois (ed.) L’Œuvre de Torricelli , sciencegalileenne et nouvelle geometrie, Nice, Les Belles Lettres, Publications de la Faculte des

Lettres et Sciences Humaines de Nice, I, 32, pp. 147–206.

Blay, Michel and Festa, Egidio (1998), « Mouvement continu et composition des vitesses au XVIIe

siecle», Archives internationales d’Histoire des sciences, vol. 48, 1998, pp. 66–118.Bopp, Karl (1907) , « Die Kegelschnitte des Gregorius a S. Vincentio», Abhandlungen zur

Gechichte der Mathematik, 20, 1907, pp. 83–314Bortolotti, Ettore (1923), « Evangelista Torricelli », in Matematica elementare, 2/8-9-10 (1923)

pp. 113–123.

Bortolotti, Ettore (1924), « La scoperta e le successive generalizzazioni di un teorema

fondamentale di calcolo integrale », in Archivio di storia della scienza, 5 (1924) pp. 205–227.

Bortolotti, Ettore (1925a), « La memoria De Infinitis Hyperbolis di Torricelli », in Archivio distoria della scienza, 6 (1925) pp. 49–58.

Bortolotti, Ettore (1925b), « La memoria De Infinitis Hyperbolis di Torricelli. Esposizione

sistematica », in Archivio di storia della scienza, 6 (1925) pp. 139–152.

Bortolotti, Ettore (1928), « I progressi del metodo infinitesimale nell’Opera geometrica di

Evangelista Torricelli », in Periodico di matematiche, IV, 8/1 (1928) pp. 19–59.

486 Bibliography

Page 11: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Bortolotti, Ettore (1930), « Le Coniche di Apollonio e il problema inverso delle tangenti di

Torricelli », in Archeion, 12 (1930) pp. 267–271.

Bortolotti, Ettore (1931), « L’integrazione indefinita ed il teorema di inversione nell’opera del

Torricelli », in Archeion, 13 (1931) pp. 60–64.

Bortolotti, Ettore (1939), « L’Œuvre geometrique d’Evangeliste Torricelli », in Monatshefte f€urMathematik und Physik, 48 (1939); and in De Gandt, Francois (ed.) L’Œuvre de Torricelli ,science galileenne et nouvelle geometrie, Nice, Les Belles Lettres, Publications de la Facultedes Lettres et Sciences Humaines de Nice, I, 32 (1987) pp. 111–146.

Bos Henk (1974), “Differentials, Higher-Order Differentials and the Derivative in the Leibnizian

Calculus”, Archive for History of Exact Sciences (14), 1974, pp. 1–90.Bosmans, Henri (1922), « Un chapitre de l’œuvre de Cavalieri. Les Propositions XVI-XXVII de

l’Exercitatio Quarta », Mathesis 36 (1922), pp. 365–456.

Bosmans Henri (1923), « La notion des indivisibles chez Blaise Pascal », in Archivio di storiadella scienza, IV, 1923, pp. 369–379.

Bosmans Henri (1924), « Sur l’œuvre mathematique de Blaise Pascal », in Revue des Questionsscientifiques, LXXXV, janvier-avril 1924, pp. 130–161 et pp. 424–451 and in Mathesis38 (1924), Supplement, pp. 1–59.

Bourbaki, Nicolas (1974), Elements d’histoire des mathematiques, nouvelle edition augmentee,

Paris, Hermann, 1974.

Boyer, Carl Benjamin (1939), The concept of the Calculus, a critical and historical discussion ofthe derivative and the integral, Columbia University Press, 1939, 1949, New York, 1959.

Boyer, Carl Benjamin (1941), « Cavalieri, limits and Discarded Infinitesimals », in ScriptaMathematica, vol. 8 (1941), pp. 79–91.

Boyer, Carl Benjamin (1943), « Pascal’s Formula for the Sums of Powers of the Integers », in

Scripta Mathematica, 9 (1943), pp. 237–244.

Boyer, Carl Benjamin (1959), The History of the Calculus and its Conceptual Development,New York, Dover Publications, 1959.

Breger, Herbert (1992), « Le continu chez Leibniz », in Le labyrinthe du continu, edited by

J.M. Salanskis and H. Sinaceur, Paris, Springer-Verlag, 1992.

Brunschvicg, Leon (1922), Les etapes de la philosophie mathematiques, Paris, Alcan, 1922, reed.Paris, Blanchard, 1981.

Cajori Florian (1915), «History of Zeno’s arguments on motion», Amer. Math. Monthly, XXII,1915.

Cantor, Moritz (1901), Vorlesungen €uber Geschichte der Mathematik, Leipzig, B. G. Teubner,zweiten Auflage, 1894–1901, 4 vol.

Caruccio, Ettore, « Cavalieri», in Dictionary of Scientific Biography, vol. III, pp. 149–153.Caveing, Maurice (1982), Zenon d’Elee. Prolegomenes aux doctrines du continu. Etude historique

et critique des Fragments et Temoignages, Paris, Vrin, 1982.Celeyrette, Jean (2006), « L’indivisibilisme de Nicolas d’Autrecourt dans le contexte parisien des

annees 1330 », in Nicolas d’Autrecourt et la Faculte des arts de Paris (1317–1340). Actes ducolloque de Paris 19–21 mai 2005, edited by S. Caroti and C. Grellard, Cesena, Quaderni du «Paideia », Stilgraf Editrice, 2006, pp. 195–218.

Chasles, Michel (1837), Apercu historique sur l’origine et le developpement des methodes en geometrie, Bruxelles, Hayez, 1837.

Clagett, Marshall (1959), The Science of Mechanics in the Middle Ages,Madison, The University

of Wisconsin Press, 1959.

Clagett, Marshall (1968), (ed., transl. and comm.), Nicole Oresme and the Medieval Geometry ofQualities and Motions. A Treatise on the Uniformity and Difformity of Intensities known asTractatus de configurationibus qualitatum and motuum, Madison, Milwaukee and London, The

University of Wisconsin Press, 1968.

Clavelin, Maurice (1968), La philosophie naturelle de Galilee, essai sur les origines et laformation de la mecanique classique, Paris, Colin, 1968, reed. Paris, Albin Michel, 1996.

Bibliography 487

Page 12: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Comte, Auguste, (1830), Premiers cours de philosophie positive, critical edition by Yann Clement

Colas, with notes and an afterword by John Dhombres, Paris, PUF, 2007.

Comte, Auguste (1879), Essai sur la philosophie des mathematiques, composed after Comte’sdeath from manuscripts texts and letters of the author by Pierre Laffite, Paris, au bureau de la

Revue occidentale, 1879.

Costabel, Pierre (1964), « Essais sur les secrets des Traites de la Roulette », L’Œuvre scientifiquede Pascal, Paris, PUF, 1964.

Dahan, Amy and Peiffer, Jeanne (1986), Une Histoire des mathematiques, routes et dedales, Paris,Seuil, 1986.

De Gandt, Francois (1987), « Les indivisibles de Torricelli » in L’Œuvre de Torricelli , sciencegalileenne et nouvelle geometrie, edited by Francois De Gandt, Nice, Les Belles Lettres,

Publications de la Faculte des Lettres et Sciences Humaines de Nice, I, 32 (1987) pp. 147–206.

De Gandt, Francois (1991), « Sur la determination du mouvement selon Aristote et les conditions

d’une mathematisation » in La physique d’Aristote et les conditions d’une science de la nature,edited by Francois De Gandt and Pierre Souffrin, Paris, Vrin, 1991, pp. 85–105.

De Gandt, Francois (1992), « L’evolution de la theorie des indivisibles et l’apport de Torricelli » inGeometria e atomismo nella scuola galileiana, edited by Massimo Bucciantini and Maurizio

Torrini, Firenze, L.S. Olschki, 1992, pp. 103–118.

De Gandt, Francois (1995), Force and Geometry in Newton’s Principia, translated by Curtis

Wilson Princeton, University Press, 1995.

Descotes, Dominique (1990), « Espaces infinis egaux au fini », in Le grand et le petit, CRDP,Clermont-Ferrand, 1990, pp. 41–67.

Descotes, Dominique (2001), Blaise Pascal litterature et geometrie, Clermont-Ferrand, Presses

universitaires Blaise Pascal, 2001.

Descotes Dominique, (2010) « Un unknown mathematical manuscript by Blaise Pascal », in

Contexts, emergence and issues of cartesian geometry, In honor of Henk Bos’s 70th birthday,Historia mathematica, vol. 37, Issue 3, Elsevier, august 2010, p. 503–534.

Dhombres, Jean (1995), « L’innovation comme produit captif de la tradition: entre Apollonius et

Descartes, une theorie des courbes chez Gregoire de Saint-Vincent », in Geometria, flussioni edifferenziali. Tradizione e innovazione nella matematica del Seicento, edited by M. Panza and

C. S. Roero, Napoli, La Citta del Sole, 1995, pp. 7–100.

Dhombres, Jean (2002), “Jean Etienne Montucla, Historian of Mathematics”, in Joe Dauben,

Christoph Scriba (eds.), Writing the History of Mathematics: its Historical Developments,Birkhauser, Basel, 2002, p. 488 et seq.

Dhombres, Jean (2003), « Shadows of a circle, or what is there to be seen ? Some Figurative

Discourses in the Mathematical Science during the Seventeenth Century« , in The treatise onperspective: published and unpublished, Studies in the History of Art, edited by Lyle Masseey,

Yale, University Press, 2003, pp. 177–211.

Dhombres, Jean (2006), « L’aventure epistemologique de la mathematisation des Lumieres

eclairee par les images de marine de l’Encyclopedie methodique », in L’encyclopedie methodique (1782–1832) : des Lumieres au positivisme, Geneve, Droz, 2006, pp. 423–466.

Dhombres, Jean (2012) Une deconstruction d’une histoire des limites de Francois Viete aux

ultrafiltres, in Jackie Pigeaud (dir.), XVIe Entretiens de la Garenne-Lemot, La limite, Pressesde l’Universite de Rennes, Rennes, 2012, pp. 77–119.

Dhombres, Jean, Les savoirs mathematiques et leurs pratiques culturelles, Tome 1: De l’Agebaroque a la moisson des Lumieres (1585–1750), Paris, Fayard, Forthcoming.

Dhombres, Jean et Nicole (1998), Lazare Carnot, Paris, Fayard, 1998.Drake, Stillman, see 1632 and 1638, Galileo.

Ducheyne, Sven (2011), The Main Business of Natural Philosophy. Isaac Newton’s Natural-Philosophical Methodology, Dordrecht, etc., Springer, 2011.

Duhem, Pierre (1913), Etudes sur Leonard de Vinci. Troisieme serie. Les precurseurs parisiens deGalilee, Paris, Hermann et fils, 1913, reprintMontreux, Editions des archives contemporaines,

1984.

488 Bibliography

Page 13: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Edwards, Charles H. Jr. (1979), The historical Development of the Calculus, New-York, Springer,1979.

Edwards, A. N. F. (1987), Pascal’s Arithmetical Triangle. The Story of a Mathematical Idea,London, C. Griffin and Company ; reed, Baltimore, London, Johns Hopkins University Press,

2002.

Engelsman, Steven B., (1984), Families of curves and the Origins of Partial Differentiation,Amsterdam, North-Holland, 1984.

Erlichson, Herman (1990), Comment on « Newton’s Principia and the external gravitational field

of a spherically symmetric mass distribution » by R. Protect Weinstock, in American Journal ofPhysics, 58 (1990) pp. 274–276.

Favaro, Antonio (1983), « Amici e corrispondenti di Galileo Galilei », vol. XIX, Gianantonio

Rocca, Firenze, Museo di Storia della Scienza, Salimbeni, 1983, vol II.

Favaro, Antonio, « Lettere d’uomini illustri del secolo XVII a Gianantonio Rocca filosofo e

matematico reggiano con alcune del Rocca a’medesimi », Modena, Societa Tipografica, 1785.

Festa, Egidio (1992a), « Aspects de la controverse sur les indivisibles », in Geometrie e atomismonella scuola galileana, Firenze, 1992.

Festa, Egidio (1992b), « La notion d’ ‘agregat d’indivisibles’ dans la constitution de la cinematique

galileenne : Cavalieri, Galilee, Torricelli » in Etudes sur Galilee, 45/2-3 (1992) pp. 307–336.

Festa, Egidio, Jullien, Vincent, and Torrini, Maurizio (eds.) (1999), Geometrie, atomisme et videdans l’ecole de Galilee, Paris, ENS editions, 1999.

Gardies, Jean-Louis (1984), Pascal entre Eudoxe et Cantor, Paris, Vrin, 1984.Giuntini, Sandra (1985), Opere inedite di Bonaventura Cavalieri, Edizione a cura di S. Giuntini,

E. Giusti ed E. Ulivi, Bolletino di Storia delle Scienze Matematiche, 5 (1985) pp. 1–352.

Giusti, Enrico (1980a), Bonaventura Cavalieri and the theory of indivisibles, Bologna, EdizioniCremonese, 1980.

Giusti, Enrico (1980b), ‘’Le prime ricerche di Pietro Mengoli. La somma delle serie”, in Geometryand Complex Variables, Proceedings of an International Meeting on the Occasion on the IX

Centennial of the University of Bologna, edited by S. Coen, New York, Dekker, 1980, pp. 95–

213.

Giusti, Enrico (1981), « Aspetti matematici della cinematica galileiana », in Bolletino di Storiadelle Scienze Matematiche, 1,2 (1981) pp. 3–42.

Giusti, Enrico, (1982) « Dopo Cavalieri. La discussione sugli indivisibili », in Atti Convegno

Cagliari (estratti) 1982.

Giusti, Enrico (1984), A tre secoli dal calcolo: la questione delle origini, in Bolletino dell’Unionematematica italiana (6) 3-A (1984) pp. 1–55.

Giusti, Enrico (1986a), « Il problema della velocita in Galilei », in 20 conferenze nel Politecnico diMilano, Milano 1986.

Giusti, Enrico (1986b), « Per un’edizione delle opere di Cavalieri”, in Atti del Convegno «Edizionicritiche e storia della matematica, Trento, ETS editrice, 1986, pp. 61–75.

Giusti, Enrico (1987), « Le probleme des tangentes de Descartes a Leibniz », in Atti del Convegno«300 Jahre ‘Nova Methodus’ von G. W. Leibniz, Noordwijkerhout, 1984 ; Studia LeibnitianaSuppl. (1986) pp. 26-37Giusti, Enrico (2001), Bonaventura Cavalieri, Lo specchio ustorio,edition and introduction by E. Giusti, Firenze, Olschki, 2001.

Giusti, Enrico (1988), « Il calcolo infinitesimale tra Leibniz e Newton », in Rendiconti delSeminario Matematico di Torino, 46/1 (1988) pp. 1–29.Giusti, Enrico (1990), Introduzione a

Galileo Galilei, Discorsi e dimostrazioni matematiche intorno a due nuove scienze, Torino,Einaudi, 1990.

Giusti, Enrico (1989), « Evangelista Torricelli continuatore di Galileo », in Torricelliana,40 (1989) pp. 13–25.

Giusti, Enrico (1990), « Il calcolo infinitesimale tra Leibniz e Newton », in Giornale di Fisica(1990) pp. 47–59.

Giusti, Enrico (1991), La prime ricerche di Pietro Mengoli: la somma delle serie, Geometry and

Complex Variables: Proceedings of an International Meeting on the Occassion of the IX

Centennial of the University of Bologna (Salvatore Coen, ed.), Lecture Notes in Pure and

Applied Mathematics, vol. 132, Marcel Dekker, New York, NY pp. 195–213.

Bibliography 489

Page 14: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Giusti, Enrico (1993), Euclides reformatus. La teoria delle proporzioni nella scuola galileiana,Torino, Bollati Boringhieri, 1993.

Giusti, Enrico (1995), « Il ruolo della matematica nella meccanica di Galileo », in Atti delconvegno ‘Galileo Galilei e la cultura veneziana’, Istituto Veneto di Scienze, Lettere ed

Arti, Venezia, 1995, pp. 321–337.

Giusti, Enrico (1997), « Gli scritti «de motu» di Giovanni Battista Benedetti », Bolletino di Storiadelle Scienze Matematiche. XVII (1997), pp. 51–104.

Giusti, Enrico (1998), « La revolution cartesienne en geometrie », in Descartes et son oeuvreaujourd’hui, Sprimont, Mardaga, 1998.

Giusti, Enrico (1999), Ipotesi sulla natura degli oggetti matematici, Torino, Bollati Boringhieri,1999 ; French translation, La naissance des objets mathematiques, Paris, Ellipses, 2000.

Giusti, Enrico, « Proportionenlehre und Geschwindigkeit der Bewegung”, in Atti del Convegno suGalileo, Berlin.

Giusti, Enrico (2000), Ipotesi sulla natura degli oggetti matematici, Turin, Bollati Boringhieri,

1999; Traduction de Georges Barthelemy, La naissance des objets mathematiques, Paris,

Ellipses, 2000.

Goldenbaum Ursula and Jesseph Douglas (2008), Infinitesimal Differences: Controversiesbetween Leibniz and his Contemporaries, Berlin, de Gruyter, 2008.

Guicciardini, Nicolo (1999), Reading the Principia. The Debate on Newton’s MathematicalMethods for Natural Philosophy from 1687 to 1736, Cambridge, University Press, 1999.

Hara, Kokiti (1970), « Roberval », in the Dictionary of Scientific Biographies, 1970.Hara, Kokiti (1985), « Comment Descartes a-t-il decouvert ses ovales? », Historia scientiarum,

29 (1985) pp. 51–82.

Heath, Thomas (1981), A History of Greek Mathematics, Oxford, Clarendon Press, 1961, 2 vol.

The Heiberg Edition, all the works of Archimedes with Eutocius’s commentaries, Latin

translation, apparatus criticus etc. (1910–1915), including The Method from the new discov-ered Constantinople Manuscript, reed. Dover, 1981.

Heath, Thomas, (2007) TheWorks of Archimedes, edited in modern notation by the present writer

in 1897, Cambridge University Press, was based on Heiberg’s first edition, and the Supplement

(1912) containing The Method, on the original edition of Heiberg (in Hermes, xlii, 1907) with

the translation by Zeuthen (Bibliotheca Mathematica, vii. 1906/7). Paperback, 2007.Hofmann, Joseph E. (1941), « Das Opus geometricum des Gregorius a Sancto Vincentio und seine

Einwirkung auf Leibniz », Abhandlungen der Preussische Akademie der Wissenschaften,Mathematik und Naturwissenschaft Klasse, n�13 (1941) Berlin, Akademie Verlag, 1942.

Horiuchi, Annick (1994), Les mathematiques japonaises a l’epoque d’Edo, Paris, Vrin, 1994.Houzel, Christian (1997), « Descartes et les courbes transcendantes », in Descartes et le moyen -

age, edited by Joel Biard and Rosdi Rashed, Paris, Vrin, 1997, pp. 27–35.

Ishiguro, Hide (1990), Leibniz’s Philosophy of Logic and Language, Cambridge University Press.

Israel, Giorgio (1990), « Dalle Regulae alla Geometria », in Descartes, il metodo e i saggi,Atti delconvegno per il 350e anniversario della pubbicazione del Discours de la methode e degli

Essais, Roma, 1990. French version, « Des Regulae a la Geometrie», Revue d’histoire dessciences, 1998, 51/2-3, XXX.

Itard, Jean (1956), « La Geometrie de Descartes », 7 janvier 1956, in Les conferences du palais dela decouverte, Serie D, n�39.

Jacoli, Ferdinando (1875), « Evangelista Torricelli ed il metodo delle tangenti detto metodo di

Roberval », in Bollettino di bibliografia e di storia delle scienze matematiche e fisiche, 8 (1875)pp.265-304.

Jesseph Douglas M. (1998), “Leibniz on the Foundations of the Calculus: The Question of the

Reality of Infinitesimal Magnitudes”, Perspectives on Science 6.1&2 (1998) pp. 6–40.

Jesseph, Douglas M. (1999), Squaring the circle: the war between Hobbes and Wallis, Chicago,University Press, 1999.

Jullien, Vincent (1996a), Descartes et la Geometrie de 1637, Paris, PUF, Philosophies, 1996.Jullien, Vincent (1996b), Elements de Geometrie de G.P. de Roberval, Mathesis, Vrin, Paris, 1996.

490 Bibliography

Page 15: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Jullien, Vincent (2006a), « Les indivisibles de Roberval, une « petite difference » de doctrine, une

moisson de resultats», in Philosophie naturelle et Geometrie au XVIIe siecle, by Vincent

Jullien, Paris, Honore Champion, 2006, pp. 399–438.

Jullien, Vincent (2006b), «Les frontieres des mathematiques cartesiennes », in Philosophienaturelle et Geometrie au XVIIe siecle, by Vincent Jullien, Paris, Honore Champion, 2006,

pp.311-353.

Jullien, Vincent and Charrak, Andre (2002), Ce que dit Descartes concernant la chute des graves,Lille, Septentrion, 2002.

Knobloch Eberhardt (1993), G.W. Leibniz, De quadratura arithmetica circuli ellipseos et hyper-bolae cujus corollarium est trigonometria sine tabulis, critical edition and commentary by

Eberhard Knobloch. Abhandlungen der Akademie der Wissenschaften in Gottingen,

Mathematisch-physikalische Klasse 3. Folge, Nr. 43, Vandenhoeck & Ruprecht, Gottingen,

1993

Knobloch, Eberhardt (2000), « Archimedes, Kepler, and Guldin: the role of proof and analogy », in

Festschrift zum siebzigsten Geburstag von Matthias Schramm, Mathesis, Berlin, Diepholz,2000.

Knobloch Eberhardt (2002), Leibniz’s Rigorous Foundation of Infinitesimal Geometry by Meansof Riemannian Sums, Synthese, 2002, 133 (1–2), pp. 59–73.

Koyre, Alexandre (1966), « Bonaventura Cavalieri et la geometrie des continus », in Hommage aLucien Febvre, Paris Colin, 1954, pp. 319–340, reprinted in Etudes d’histoire de la penseescientifique, Paris, PUF, 1966.

Loria, Gino (1897), « Evangelista Torricelli e la prima rettificazione di una curva », in Atti dellaReale Accademia dei Lincei, V, 6 (1897) pp. 318–323.

MacDonald Ross G. (1990), “Are there real Infinitesimals in Leibniz’s Metaphysics?”, in

A. Lamarra (ed.), L’infinito in Leibniz: Problemi e terminologia, Rome, Edizionidell’Ataneo,1990, pp. 125–141.

Mac Guire, James E. and Tamny, Martin (1983), Certain Philosophical Questions. Newton’sTrinity Notebook, Cambridge, University Press, 1983.

Mahoney, Michael Sean (1973), The mathematical career of Pierre de Fermat, Princeton,

University Press, 1973.

Maier�u, Luigi (2007), John Wallis. Una vita per un progetto, Soveria Mannelli (CZ), Rubbettino,

2007.

Malet, Antoni (1996), From Indivisibles to Infinitesimals. Studies on Seventeenth-Century Math-ematization of Infinitely Small Quantities, Barcelona, Servei de Publication de la Universitat

Autonoma de Barcelona, 1996.

Malet, Antoni, (1997), “Isaac Barrow on the Mathematization of Nature: Theological Voluntarism

and the Rise of Geometrical Optics”, Journal of the History of Ideas, 58, 1997.Mancosu Paolo (1989), “The Metaphysics of the Calculus: A Foundational Debate in the Paris

Academy of Sciences, 1700-1706”, HistoriaMathematica 16 (1989), pp. 224–248.

Mancosu, Paolo (1996), Philosophy of Mathematics and Mathematical Practice in the SeventeenthCentury, New York, Oxford, Unversity Press, 1996.

Marie, Maximilien (1977), Histoire des sciences mathematiques et physiques, 12 vol., Paris,

Gauthier-Villars, 1883–1888, reprint Nendeln/Liechtenstein, Kraus, 1977.

Massa–Esteve, Maria Rosa (1994), « El metode dels indivisibles de Bonaventura Cavalieri », in

Bulletı de la Societat Catalana de Matematiques, 9 (1994) pp. 68–100.

Massa–Esteve, Maria Rosa (1997), « Mengoli on ‘quasi proportions’ », in Historia Mathematica,24/2 (1997) pp. 257–280.

Massa–Esteve, Maria Rosa (2003), « La theorie euclidienne des proportions dans les « Geometriae

Speciosae Elementa »(1659) de Pietro Mengoli », in Revue d’Histoire des Sciences, 56/2(2003) pp. 457–474.

Massa–Esteve, Maria Rosa (2006a), « Algebra and Geometry in Pietro Mengoli (1625–1686) », in

Historia Mathematica, 33 (2006) pp. 82–112.

Massa–Esteve, Maria Rosa (2006b), L’Algebritzaci�o de les Matematiques. Pietro Mengoli (1625–1686), Barcelona, Institut d’Estudis Catalan, 2006.

Bibliography 491

Page 16: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Massa–Esteve, Maria Rosa (2008), « Symbolic language in early modern mathematics: The

Algebra of Pierre Herigone (1580–1643) », in Historia Mathematica, 35 (2008) pp. 285–301.

Massa–Esteve, Maria Rosa (2010), « The symbolic treatment of Euclid’s Elements in Herigone’sCursus mathematicus (1634, 1637, 1642) », in Philosophical Aspects of Symbolical Reasoningin Early Modern Mathematics, Vol. 26, edited by A. Heeffer and M. Van Dyck, London,

College Publications, 2010, pp. 165–191.

Massa–Esteve, Maria Rosa and Delshams, Amadeu (2009), « Euler’s Beta integral in Pietro

Mengoli’s Works », in Archive for History of Exact Sciences, 63(2009) pp. 325–356.Massa Esteve, M. Rosa (2012), “The role of symbolic language in the transformation of mathe-

matics” , Philosophica 87, 153–193.

Mazet, Edmond (2003), « La theorie des series de Nicole Oresme dans sa perspective aristote-

licienne. Questions 1 et 2 sur la geometrie d’Euclide », in Revue d’histoire des mathematiques,IX/1 (2003) pp. 33–80.

Merker, Claude (2001), Le chant du cygne des indivisibles. Le calcul integral dans la derniereœuvre scientifique de Pascal, Besancon, Presses Universitaires Franc-Comtoises, 2001.

Milhaud, Gaston (1921), Descartes Savant, Paris, Felix Alcan, 1921.

Miller, G. A. (1926), « Was Paul Guldin a Plagiarist ? » in Science 64 (1926) pp. 204–206.

Montucla, Jean Etienne (1758), Histoire des Mathematiques, dans laquelle on rend compte deleurs progres depuis leur origine jusqu’a nos jours; o�u l’on expose le tableau et le developpement des principales decouvertes dans toutes les parties des Mathematiques, lescontestations qui se sont elevees entre les Mathematiciens, et les principaux traits de la viedes plus celebres, Paris, Jombert.

(1799), a second edition largely extended Paris, Agasse, 1799 ; reprint. Paris, Blanchard, 1960,

4 vol.

Murdoch, John E. (1981), « Henry of Harclay and the Infinite » in Studi sul XIV secolo in memoriadi Anneliese Maier, edited by Alfonso Maier�u and Agostino Paravicini Bagliani, Roma,

Edizioni di storia e letteratura, 1981, pp.219-261.

Murdoch, John E. (1987), « Thomas Bradwardine : mathematics and continuity in the fourteenth

century », in Mathematics and its Applications to Science and Natural Philosophy in theMiddle Ages. Essays in Honor of Mashall Clagett, edited by E. Grant and J.E. Murdoch,

Cambridge, University Press, 1987, pp. 103–137.

Nadir, Albır Nasrı (1984), Le systeme philosophique des Mu’tazila, Beyrouth, Les lettres

orientales, 1956, 2d edition, Beyrouth, Dar el-Machreq, 1984.

Natucci, Alessandro, « Mengoli », in The Dictionary of Scientific Biography, Scribner’s, 9, -New York., 303–304.

Nunn, Thomas Percy (1910), « The arithmetic of infinites », in The Mathematical Gazette,5 (1910–1911) pp. 345–356 and pp. 377–386.

Panza, Marco (1995), « Da Wallis a Newton : una via verso il calcolo. Quadrature, serie e

rappresentazioni infinite delle quantita e delle forme trascendenti », in Geometria, flussioni edifferenziali. Tradizione e innovazione nella matematica del Seicento, edited by M. Panza and

C. S. Roero, Napoli, La Citta del Sole, 1995, pp. 131–219.

Panza, Marco (2005), Newton et les origines de l’analyse, 1664–1666, Paris, Blanchard, 2005.Panza, Marco (2007), Nombres. Elements de mathematiques pour philosophes, Lyon, ENS edition,

Lyon, 2007.

Panza, Marco (2009), Review of Luigi Maier�u, « John Wallis. Una vita per un progetto », in

Historia Mathematica, 36 (2009) pp. 279–281.

Parmentier, Marc (1989), La naissance du calcul differentiel differentiel : 26 articles des ActaEruditorum, Paris, Vrin, 1989.

Prag, Adolf (1931), « John Wallis. 1616–1703. zur Ideengeschichte der Mathematik im 17.

Jahrhundert », in Quellen und Studien zur Geschichte der Mathematik, Astronomie und Physik,Abteilung B, 1 (1931) pp. 381–412.

Rashed, Roshdi (1993), Les mathematiques infinitesimales du IXe au XIe siecle, Londres,

Al-Furqan Islamic Foundation, 5 vol., 1993.

Rashed, Roshdi (1997), « La Geometrie de Descartes » in Descartes et le moyen age, Paris, Vrin,1997.

492 Bibliography

Page 17: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Redondi, Pietro (1983), Galileo Eretico, Torino, Einaudi, 1983 ; French translation by Monique

Aymard, Paris, Gallimard, 1985 ; English translation by Raymond Rosenthal, Princeton,

New Jersey, University Press, 1987.

Rigaud S.J. (1841), editor.Correspondence of Scientific Men of Seventeenth Century. Oxford Univ.Press, Oxford, 1841. 2 vols.

Robinson A. (1966), Non-standard Analysis, Princeton University Press, 1st ed. 1966, revised

edition 1996.

Rocca, G., (1785), Lettere d’uomini illustri del secolo XVII a Giannantonio Rocca filosofo ematematico reggiano con alcune del Rocca a’ medesimi. In Modena. Presso la Societa

Tipografica, in 8�.Russo Francois (1964), « Pascal et l’analyse infinitesimale », l’œuvre scientifique de Pascal, PUF,

1964, p. 136–153.

Russell, Bertrand (1903), The principles of mathematics, London, C. J. Clay and Sons, Cambridge,

University Press, 1903.

Salem, Jean (1996), Democrite. Grains de poussiere dans un rayon de soleil¸ Paris, Vrin, 1996.Sasaki, Chikara (2003), Descartes’s mathematical Thought, Dordrecht, Kluver Academic Pub-

lishers, 2003.

Sauvenier-Goffin, Elisabeth (1951), « Les manuscrits de G. de Saint-Vincent (1584–1667) », Bull.Soc. des Sciences de Liege, 1951.

Scholtz, Lucie (1934), Die exakte Grundlegung der Infinitesimalrechnung bei Leibniz, Marburg,

Gorlitz-Biesnitz, Druck von H. Kretschmer, 1934.

Scott, Joseph F. (1938), The Mathematical Work of John Wallis, D.D. F.R.S. (1616–1703),London, Taylor and Francis, LTD, 1938.

Scott, Joseph F. (1952), The scientific Work of Rene Descartes, first ed. Taylor & Francis, 1952,

New York and London, Garland Publishing, Inc., 1987.

Scriba, Christoph J. (1976), «Wallis, John », in The Dictionary of Scientific Biography, New York,

Charles Scribner’s Sons, XIV (1976) pp. 146–155.

Stedall, Jackie A. (2001), « The discovery of wonders: Reading between the lines of John Wallis’sArithmetica Infinitorum », in Archive for History of Exact Sciences, 56 (2001) pp. 1–28.

Stedall, Jackie A. (2002), A discourse Concerning Algebra : English Algebra to 1685, Oxford,University Press, 2002.

Ulivi, Elisabetta (1982), « Il theorema di Pappo-Guldino, Dimostrazioni e attribuzioni », in

Bolletino di Storia delle Scienze Matematiche, 2/2 (1982) pp. 179–209.

Vailati, Ezio and Mancosu, Paolo (1991), « Torricelli’s infinitely long solid and its philosophical

reception in the seventeenth century », in Isis, 82 (1991) pp. 50–70.

van Looy, Hermann (1984), « A chronology and historical analysis of the mathematical manu-

scripts of Gregorius a Sancto Vincentio », in Hist. Math., 11 (1984) pp. 57–75.

Ver Eecke, Paul (1932), « Le theoreme dit de Guldin considere au point de vue historique » in

Mathesis, 46 (1932) pp. 395–397.

Vuillemin, Jules (1987), Mathematiques et metaphysique chez Descartes, 2d ed., Paris, PUF.Walker, Evelyn (1932), A Study of the Traite des Indivisibles of Gilles Persone de Roberval, with a

view to answering, insofar as is possible, the two questions: which propositions containedtherein are his own, and which are due to his predecessors or contemporaries? and what effect,if any, had this work on his successors?, New York, Bureau of Publications, Teachers College,

Columbia University, 1932.

Walker, E. (1986) A Study of the Traite des Indivisibles of Gilles Personne de Roberval. Columbia

Univ. Press, New York, NY.

Wilson, Curtis, (1995), see De Gandt 1995.

Whiteside, Derek T. (1960), « Patterns of mathematical thought in the later seventeenth century »,

in Archive for History of Exact Sciences, 1 (1960–1962) pp. 179–388.

Weinstock, Robert (1984), « Newton’s Principia and the external gravitational field of a spheri-

cally symmetric mass distribution », in American Journal of Physics, 52 (1984) pp. 883–890.

Bibliography 493

Page 18: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Index

AAgnesi, M.G., 485

Albertus of Saxonia, 25

Alfonso de Salvio, 100

al-Ghazalı, 20, 24, 28

Alquie, 166

Andersen, K., 31–55, 188, 189, 323

Anderson, A., 73, 143, 443, 449

Angeli, S., 51

Apollonius, 31, 140, 387

Archimedes, 31, 50, 55, 58, 60–64, 70, 71, 73,

82, 86, 107, 109, 110, 140, 142, 149,

155, 161, 162, 185, 189, 198, 215, 241,

255, 268, 280, 286, 287, 291, 292, 299,

300, 305, 322, 339, 349, 359–362, 396,

399, 401, 430, 431, 436, 437, 439, 441,

443–445, 451–457

Aristotle, 11, 19–30, 37, 88, 92, 94, 107, 143,

252, 276, 393, 394, 399

Arnauld, A., 10, 93, 94, 155, 239, 241

Arthur, R.T.W., 347, 348, 359, 360, 361

Auger, L., 179, 286

Autrecourt, 20, 22

BBachelard, G., 397

Baron, M.E., 60, 77, 192, 308

Barrow, I., 4, 7, 160, 189, 207, 275–284, 468

Bascelli, T., 105–137

Beaugrand, J., 288–291, 304

Bedfellows, 359

Beeley, P., 347

Belaval, Y., 167

BelisarioVinta, 87

Belloni, L., 105, 451

Benard, 401, 403

Bennett, J., 16, 168

Bentley, 277, 278

Berkeley, G., 13

Bernoulli, J., 16, 138, 393, 400, 420, 421, 449,

465, 473, 475

Bettini, M., 482

Bignon, J.P., 13

Blay, M., 89, 99, 102

Bonte, G., 137

Bopp, K., 138

Bortolotti, E., 106, 130, 131

Bos, H., 349, 362, 364, 401

Bosmans, H., 137, 187, 213, 250, 255, 286,

288, 340, 441

Bostock, D., 107

Bouguer, P., 401

Bouillau, I., 482

Bourbaki, N., 391, 396–398, 401, 402, 406,

407, 412, 416, 418, 420, 433, 436, 439–

443, 447

Boutroux, P., 434

Boyer, C.B., 12, 32, 102, 185, 188, 189, 286,

395, 397, 401, 419, 434–437, 439, 442,

447, 448, 460

Boyle, R., 281

Bradwardine, T., 1, 22, 28

Breger, H., 14, 16

Brightbart, S., 1, 31, 87, 165, 177, 451

Brunschvicg, L., 15, 16, 17, 174

Bullialdus, I., 270

Buridan, J., 1, 25, 29, 94

Burman, 166, 168

Burnett, A., 349

© Springer International Publishing Switzerland 2015

V. Jullien (ed.), Seventeenth-Century Indivisibles Revisited, Science Networks.Historical Studies 49, DOI 10.1007/978-3-319-00131-9

495

Page 19: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

CCajori, F., 143, 337, 434

Cantor, G., 149, 308, 332, 392, 394

Cantor, M., 3, 60, 85, 444, 446

Carcavy, 7, 188, 189, 216, 223, 232, 246

Carnot, L., 7, 9, 11, 188, 397, 430, 474

Caruccio, E., 487

Cassini, G.D., 287, 290

Castel, L.-B., 397–401, 406, 416, 429

Castelli, B., 31, 451

Cauchy, 15, 392, 402, 428

Cavalieri, B., 3, 31–55, 57–86, 87, 106, 137–

164, 167, 177, 213, 254, 275, 285, 309,

352, 378, 391, 451, 465

Caveing, M., 143

Cavendish, W., 178, 179, 189

Celeyrette, J., 19–30, 394, 459–463

Charrak, A., 169, 170

Chasles, M., 17

Ciampoli, G., 33

Clagett, M., 94, 102, 399, 459, 461, 462

Clavelin, M., 97, 101

Clavius, C., 154, 165, 166, 332, 339–343

Clerselier, C., 168

Cohen, I.B., 447

Commandino, F., 2, 33

Comte, A., 4, 11, 12, 250, 395, 396, 401, 427–

431

Condillac, 428

Costabel, P., 235

Cramer, G., 475

Crew, 100

DDahan, A., 12, 14, 15, 17

d’Alembert, J.R., 14, 15, 364, 401

Darboux, 356

de Chatton, G., 1, 20–22, 24–29, 126

De Gandt, F., 6, 8, 106, 112, 113, 119, 124,

125, 187, 385

de Hornes, 250

de Lalouvere, A., 217, 223, 249, 251, 252, 267–

273, 395

de Roberval, G.P., 4–7, 12, 44, 171, 174, 177–

210, 237–239, 286, 303, 308, 316, 352,

353, 429, 435, 450

De Sarasa, A.A., 147, 332

De Sluse, M., 216

de Waards, C., 180

Debeaune, 167, 174

Dechales, C.F.M., 484

Deckens, T., 251

Delshams, M.E., 295, 303

Democrit, 27

Des Bosses, 360

Descartes, R., 2, 4, 5, 9, 17, 34, 92, 165–175,

189, 192, 322, 357, 379, 406, 408, 411,

434, 443, 450, 468–473

Descotes, D., 211–273, 395, 435

d’Herlies, 250Dhombres, J., 137–164, 308, 319, 332, 391–

450, 465–476

Diderot, P., 347, 401

Donahue, H., 59

Doria, P.M., 485

Dositheus, 454

Drake, S., 88, 90–95, 97, 98, 100

Ducheyne, S., 386

Duhem, P., 397, 399, 459

EEdwards, A.N.F., 212, 308, 321

Engelsman, S.B., 401

Epicurus, 277

Eratosthenes, 452–454

Erlichson, H., 386, 388

Euclid, 31, 50, 51, 64, 108, 109, 114, 117, 126,

142, 145, 162, 280, 328, 338, 340, 391,

442

Eudoxus, 107, 108, 442, 453, 455

Euler, 17, 428

FFagnano, G.C., 485

Fatio de Duillier, N., 16, 473

Favaro, A., 288, 400

Fermat, P. de, 12, 18, 158, 160, 167, 171, 174,

180, 185, 195, 203, 245, 267, 286, 308,

435, 441

Festa, E., 89, 99, 102, 103, 139

Filomantio, S., 32

Fontenelle, 179, 348

Fourier, 391, 399

GGabbey, 178

Galileo, G., 2–4, 8, 31–33, 36, 74–76, 80, 85,

87–103, 126, 133, 134, 136, 138, 163,

164, 168, 170, 173, 199, 205, 277, 393,

400, 459, 460, 462, 463

Gallois, J., 13, 207, 361

Galois, L., 179

496 Index

Page 20: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Gardies, J.-L., 187, 215

Gassendi, P., 394

Giuntini, S., 42

Giusti, E., 6, 31–55, 74, 76, 79–82, 87–89, 96,

97, 101, 292, 323, 344

Goldenbaum, U., 347, 359, 362

Grandi, G., 485

Gregorius, 137–145, 147, 149–151, 152, 155,

156, 161, 163, 164, 268

Gregory of St Vincent, 4, 5, 44, 137, 150

Grienberger, 400

Guicciardini, N., 308, 386

Guldin, P., 10, 32, 37, 57–86, 396, 397, 399,

429, 432, 433, 435–443, 449

HHall, R., 137

Halley, E., 395, 399, 465–468, 471–476

Hara, K., 490

Harclay, H., 21–26, 29

Heath, T., 108, 109, 126, 328, 387, 452–456

Heiberg, 452

Herigone, P., 481

Hermann, J., 473–475

Heytesbury, 447

Hobbes, 178, 282, 283, 307, 337, 338, 343, 347

Hofmann, J.E.,

Horiuchi, A., 441

Houzel, C., 175

Hudde, 471, 472

Huggard, 361

Huygens, 101, 170, 207, 216, 220, 221, 235,

245, 250, 361, 442

IIshiguro, H., 362

Israel, G., 1990

Itard, J., 165, 166, 433

JJacoli, F., 490

James Gregory, 4, 207

Jesseph, D.M., 318, 321, 347, 349, 359, 362

Jombert, 401

Jongmans, 137

Jullien, V., 1–55, 87–103, 137, 165–175, 177–

210, 285, 286, 451–457

KKepler, J., 2 , 3, 10, 40, 57–86, 89, 102, 143,

155, 161, 162, 198, 396, 432, 435–441,

443–447, 449

Kirkby, J., 275

Klug, 69, 70, 72

Klugel, 434

Knobloch, E., 285, 348, 349, 351, 356, 452

Koyre, A., 3, 4, 189, 394, 395

Kuhn, T., 395

Lla Caille, N.L., 485

La Hire, 13

Lagrange, 14, 15, 428

Lakatos, I., 442

Lalande, 401

Le Pailleur, 212

Leclerc, B., 437, 438, 440

Leibniz, G.W., 2, 4, 5, 7, 9–14, 16, 17, 55, 92,

139, 163, 164, 193, 209, 223, 248, 343,

347–364, 377, 392, 393, 395, 397, 398,

399, 400, 406, 428–430, 433, 434, 435,

439, 441, 443, 446, 449, 465, 466, 468,

473, 475

Leotaud, V., 339–341

Levey, S., 362

l’Hopital, 2, 5, 13, 141, 158–164, 400, 407,

420, 465–467

MMacDonald Ross, G., 348

Mac Guire, J.E., 491

Magini, 31

Mahoney, M.S., 286

Maier�u, L., 308, 313, 340Maımonide, 20

Malet, A., 4, 9, 17, 187, 275–284, 303, 307–

344, 365–390

Mancosu, P., 187, 332, 337, 348

Maronne, S., 223, 239

Massa–Esteve, M.R., 285–306, 308

Maurolico, 2

Maximilien Marie, 32, 430, 434

Mazet, E., 94

Mengoli, P., 4, 6, 285–306, 308, 448

Mercator, 5, 156, 161, 396

Merker, C., 217, 262

Index 497

Page 21: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Mersenne, M., 9, 92, 166, 170, 171, 174, 175,

178, 179, 180, 203, 207, 288, 316, 398,

399

Merton, R.K., 394, 462

Mesnard, J., 187, 211, 237

Michel-Pajus, A., 347

Milhaud, G., 174

Miller, G.A., 76

Montucla, J.E., 3, 4, 11, 68, 162, 163, 393, 396,

397, 400–416, 419–422, 426, 427, 431–

436, 440–449, 475

Morus, 166, 167

Murdoch, J.E., 21, 22

NNadiir,

Nardi, A., 105, 451

Natucci, A., 285

Newton, I., 10, 11, 13, 18, 85, 153, 164, 248,

277, 278, 308, 318, 343, 359, 365–367,

371, 372, 374–389, 419, 432, 439, 466,

472, 473

Nicerone, 288

Nicole, O., 10, 25, 93, 94, 459

Nicomachus, 185

Niewentijt, 193

Nunn, T.P., 308, 324

OOckham, 21, 22

Odo, 22

Oldenburg, 55

Oresme, N., 2, 25, 29, 92, 94, 102, 459–463

Oughtred, 336, 424, 425

PPanza, M., 307–344, 365–390, 441

Pappus, 76, 250, 268

Pardies, 141, 154–161, 164, 395, 426

Parmentier, 193, 348

Pascal, B., 4–7, 9, 44, 92, 151, 163, 180, 181,

185, 188, 189, 205, 211, 213–230, 232,

234, 235, 237–241, 243, 245–249, 251,

252, 255, 262, 268, 279, 286, 308, 321,

352, 401, 429, 431, 433, 435, 446, 450

Peiffer, J., 12, 14, 15, 17

Peletier, J., 339, 340

Pell, J., 178, 336

Peyrard, 61

Pinson, 349

Plato, 102, 276

Prag, A., 308

RRabouin, D., 347–364, 395

Radelet-de Grave, P., 57–86, 154, 435, 440

Rashed, R., 441

Redondi, P., 96

Riario, D.F., 286

Ricci, M., 130, 207

Riemann, 149, 151, 156, 161–163, 420, 424,

426, 433, 439, 441, 447

Rigaud, S.J., 33

Rinaldini, C., 484

Robinson, A., 360, 392

Rocca, G., 83

Rolle, M., 13, 348

Russell, B., 143

Russo, F., 187, 222

SSalem, J., 19

Sarpi, 74

Sasaki, C., 493

Sauvenier-Goffin, E., 493

Scholtz, L., 348

Scott, J.F., 308, 332

Scriba, C.J., 308

Seki, 441

Smith, D.E., 434

Snell, W., 60

Sover, B., 75, 76

Spinoza, 433, 471, 472

Stedall, J.A., 286, 308, 309, 311, 312, 317

Stevin, S., 2, 185, 189, 436

Stone, E., 485

Suiseth, R., 143

Swineshead, 447

TTacquet, A., 4, 143, 155, 187, 213, 240, 249–

265, 267–271, 273, 278, 340, 341, 395,

426, 435

Takebe, 441

498 Index

Page 22: Bibliography - Springer978-3-319-00131-9/1.pdf · Bibliography Completes Works Archimedes, Heath Thomas (1912), The Works of Archimedes, edited in modern notation by the present writer

Taton, R., 433

Torricelli, E., 4, 6–8, 54, 83, 105–137, 155,

177–180, 185, 189, 207–209, 237, 267,

276, 304, 309, 332, 401, 416, 422–425,

427, 448, 451

UUlivi, E., 76

Urbano D’Aviso, 31

VVailati, E., 332, 337

Valerio, L., 33, 161, 162 182, 189, 267,

419–420

van der Mersch, 250

van Heuraet, 207, 353

van Lansberg, 73

van Looy, H., 493

van Schooten, F., 481

Varignon, P., 348

Ver Eecke, P., 76

Vieta, 160, 217, 275, 432

Vitali, H., 484

Viviani, V., 124

Vuillemin, J., 167

WWalker, E., 178, 179, 182, 183, 185, 188, 190,

192, 194, 195, 199, 200, 203, 207, 286

Wallis, J., 4–8, 18, 156, 162, 163, 183,

185–187, 189, 205, 286, 303, 307–344,

365, 367–369, 371, 401, 421–426, 435,

441, 442, 448, 450

Waterfield, R., 107

Weber, M., 394

Weierstrass, K., 15, 392

Weil, A., 396

Weinstock, R., 386, 388, 389

White, R., 481

Whiteside, D.T., 10, 14, 16–18, 308, 367, 372,

375–378, 382, 385, 396, 402, 407, 418,

440, 441, 446–448

Wilson, C., 126–128, 133, 135

Wodeham, A. de, 22

Wodham, 23

ZZeno, 143–145, 168, 278

Zilsel, E., 394

Index 499