The debate between Peletier and Clavius on superposition

Apollonius of Perga, 2009 Archimedes, 1953, On conoids and spheroids Archimedes, 1953, On the equilibrium of planes Archimedes, 1953, On spirals Axworthy, A., 2013. The ontological status of geometrical objects in the commentary on the Elements of Euclid of Jacques Peletier, du Mans (1517–1582). Fondation Maison des Sciences de l'Homme, Working Paper 41. Axworthy, 2017, La notion géométrique de flux du point à la Renaissance et dans le commentaire des Éléments de Jacques Peletier du Mans, 453 Baldi, 1998 Baldini, 1983, Christoph Clavius and the scientific scene in Rome Bamforth, 1989, Peletier du Mans and ‘scientific eloquence’, Renaissance Stud., 3, 202, 10.1111/j.1477-4658.1989.tb00183.x Barrow, 1683 Barrow, I., 1734/1970. The Usefulness of Mathematical Learning explained and demonstrated: being Mathematical Lectures read in the Publick Schools at the University of Cambridge. London. Reprint: Cass Publishing Company, London. Translated by J. Kirby, S. Austen, 1970. Biancani, 1615 Bien, 2007, Viète's controversy with Clavius over the truly Gregorian calendar, Arch. Hist. Exact Sci., 61, 39, 10.1007/s00407-006-0117-5 Borrel, 1559, Ioannis Buteonis Annotationum liber in errores Campanu, Zamberti, Orontij, Peletarij, Io. Penae interpretum Euclidis, 207 Borrel, 1562 Bos, 2001 Bosmans, 1907, L'Algèbre de J. Peletier du Mans départie en deux livres, Revue des questions scientifiques, 61, 117 Candale, 1566 Cavalieri, 1635 Cavalieri, 1647 Cifoletti, 1992 Cifoletti, 1994, Du français au latin: L'Algèbre de Jacques Peletier et ses projets pour une nouvelle langue des sciences, 95 Cifoletti, 1995, La question de l'algèbre: Mathématiques et rhétorique des hommes de droit dans la France du 16e siècle, Rhétorique et civilité, 50, 1385 Cifoletti, 2004, The algebraic art of discourse. Algebraic dispositio, invention and imitation in sixteenth-century France, Boston Stud. Philos. Sci., 238, 123, 10.1007/1-4020-2321-9_6 Claessens, 2009, Clavius, Proclus, and the limits of interpretation: snapshot-idealization versus projectionism, Hist. Sci., 47, 317, 10.1177/007327530904700304 Clavius, 1570 Clavius, 1574 Clavius, 1586 Clavius, 1588 Clavius, 1589 Clavius, 1591 Clavius, 1603 Clavius, 1603 Clavius, 1604 Clavius, 1607 Clavius, 1607 Clavius, 1607 Clavius, 1608 Clavius, 1611 Commandino, 1572 Crippa, 2014 Davis, 1960, Sixteenth-century French arithmetics on the business life, J. Hist. Ideas, 21, 18, 10.2307/2707997 De Pace, 1993 De Risi, 2016, The development of Euclidean axiomatics. The systems of principles and the foundations of mathematics in editions of the Elements in the Early Modern Age, Arch. Hist. Exact Sci., 70, 591, 10.1007/s00407-015-0173-9 Djebbar, 2002, L'épître d'al-Khayyâm sur L'explication des prémisses problématiques du livre d'Euclide, Farhang, 14, 79 Domski, 2003, The constructible and the intelligible in Newton's philosophy of geometry, vol. 70, 1114 Domski, 2009, The intelligibility of motion and construction: Descartes' early mathematics and metaphysics, 1619–1637, Stud. Hist. Philos. Sci. Part A, 40, 119, 10.1016/j.shpsa.2009.03.003 Dutka, 1988, On the Gregorian revision of the Julian calendar, Math. Intell., 10, 56, 10.1007/BF03023855 Dye, 2009, Against the geometers by Sextus Empiricus: sources, targets, structure, Phronesis, 54, 155 Euclid, 1516 Euclid, 1956 Euclid, 1990 Feldhay, 1998, The use and abuse of mathematical entities: Galileo and the Jesuits revisited, 80 Fine, 1536 Fine, 1544 Fine, 1551 Gatto, 2006, Christoph Clavius' Ordo Servandus in Addiscendis Disciplinis Mathematicis and the teaching of mathematics in Jesuit colleges at the beginning of the Modern Era, Science & Education, 15, 235, 10.1007/s11191-004-5607-8 Goldstein, 1972, The historical development of group theoretical ideas in connection with Euclid's axiom of congruence, Notre Dame J. Form. Log., 13, 331, 10.1305/ndjfl/1093890620 Harari, 2003, The concept of existence and the role of constructions in Euclid's elements, Arch. Hist. Exact Sci., 57, 1, 10.1007/s004070200053 Heath, 1921 Higashi, 2007, Giorgio Valla et Alessandro Piccolomini. Quelques aspects de la réception de Proclus à la Renaissance, vol. 27, 31 Hilbert, 1903 Ingrami, 1904 Jaouiche, 1986 Jardine, 1979, The forging of modern realism: Clavius and Kepler against the sceptics, Stud. Hist. Philos. Sci. Part A, 10, 141, 10.1016/0039-3681(79)90014-1 Killing, 1898 Knorr, 1981, On the early history of axiomatics. The interaction of mathematics and philosophy in Greek antiquity, 145 Knorr, 1983, Construction as existence proof in ancient geometry, Ancient Philos., 3, 125, 10.5840/ancientphil1983321 Lattis, 1994 Levi, B., 2003 [1949]. En lisant Euclide [Leyendo a Euclides]. Agone. Marseille. Loget, 2000 Loget, 2002, Wallis entre Hobbes et Newton. La question de l'angle de contact chez les anglais, Rev. Hist. Math., 8, 207 Loget, 2012, Printers and algebraists in mid-16th century France, Philosophica, 87, 85, 10.21825/philosophica.82140 1965, vol. 7 Maierù, 1991, John Wallis: lettura della polemica fra Peletier e Clavio circa l'angolo di contatto, 115 Maierù, 1999, La diffusione di Proclo, commentatore di Euclide, nel Cinquecento, 49 Mancosu, 1996 Mancosu, 2008, Descartes and Mathematics, 103 Molland, 1976, Shifting the foundations: Descartes's transformation of ancient geometry, Hist. Math., 3, 21, 10.1016/0315-0860(76)90004-5 Mueller, 2006 Mugler, 1959 Murdoch, 1964, Superposition, congruence and continuity in the Middle Ages, vol. 1, 416 Oñate Guillen, 2000, Christopher Clavius y el Calendario Gregoriano, Letras de Deusto, 30, 55 Palmieri, 2009, Superposition: on Cavalieri's practice of mathematics, Arch. Hist. Exact Sci., 63, 471, 10.1007/s00407-008-0032-z Pantin, 2002, La représentation des mathématiques chez Jacques Peletier du Mans : Cosmos hiéroglyphique ou ordre rhétorique?, Rhetorica, 20, 375, 10.1525/rh.2002.20.4.375 Panza, 2011, Rethinking geometrical exactness, Hist. Math., 38, 42, 10.1016/j.hm.2010.09.001 Pappus of Alexandria, 1876 Pappus of Alexandria, 2009 Peletier, 1545 Peletier, 1547 Peletier, 1549 Peletier, 1550 Peletier, 1554 Peletier, 1557 Peletier, 1560 Peletier, 1563, De dimensione circuli. De contactu linearum commentarius. De duabus lineis in eodem plano neque parallelis, neque concurrentibus Peletier, 1567 Peletier, 1572 Peletier, 1573 Peletier, 1579 Peletier, 1579 Peletier, 1581 Peletier, 1610 Peletier, 1611 Peletier, 1628 Proclus, 1873 Proclus, 1992 Ramus, 1569 Rashed, 2013, Le mouvement en géométrie classique, Al-Mukhatabat, 7, 58 Romano, 1999 Rommevaux, 2004, Les introductions aux éditions des Éléments d'Euclide au Moyen-Âge et à la Renaissance, 143 Rommevaux, 2006, Un débat dans les mathématiques de la Renaissance : le statut de l'angle de contingence, J. Renaissance, 4, 291, 10.1484/J.JR.2.301812 Rommevaux, 2012, Christoph Clavius, un promoteur des mathématiques à la Renaissance, Seizième Siècle, 8, 127, 10.3406/xvi.2012.1047 Russell, 1938 Saito, 2009, Reading ancient Greek mathematics, 801 Savile, 1621 Schmidt, 1938 Schopenhauer, 1988, Die Welt als Wille und Vorstellung, vol. 2, vol. III Sidoli, 2009, The role of geometrical construction in Theodosius's Spherics, Arch. Hist. Exact Sci., 63, 581, 10.1007/s00407-009-0045-2 Smolarski, 2002, The Jesuit Ratio Studiorum, Christopher Clavius, and the study of mathematical sciences in universities, Science in Context, 15, 447, 10.1017/S026988970200056X Tannery, 1884, Sur l'authenticité des axiomes d'Euclide, Bull. sci. math. astron. 2e sér., VIII, 162 Vinel, 2010, La Rhusis mathématique. De l'ancien Pythagorisme à Proclus Vitrac, 2005, Quelques remarques sur l'usage du mouvement en géométrie dans la tradition euclidienne : de Platon et Aristote à Omar Khayyâm. Fahrang, Q. J. Humanities Cult. Stud., 18, 1 Wagner, 1983, Euclid's intended interpretation of superposition, Hist. Math., 10, 68, 10.1016/0315-0860(83)90033-2 Zeuthen, 1896, Die geometrische Konstruktion als ‘Existenzbeweis’ in der antiken Geometrie, Math. Ann., 47, 222, 10.1007/BF01447268