Mario Bettinus studied mathematics under the Belgian Jean Verviers and Giuseppe Biancani at the Jesuit school in Parma. He was responsible for teaching military architecture in Parma during the period 1624–1630. Among the students attending his classes at the seminarium nobilium were the two sons of Duke Ranuccio, Ottavio and Odoardo. Besides being Ottavio's teacher of military mathematics, Bettinus also served as military consultant to the courts of Parma (1612–1613), Modena (1617–1618) and again Parma (1626–1627), and as a military architect at Novellara (1618–1619), seat of the novitiate of the Jesuit ‘Provincia Veneta’.[2]
Besides being the mentor of Guarino Guarini (1624–1683), Bettinus was also a close friend of Prince Raimondo Montecuccoli (1609–1680)—the latter had even sent him a copy of his work on fortifications from Hohenneg on 15 July 1652.
Worksedit
Bettinus privileged mathematics, intended as the only discipline abstract enough to allow intellect to approach theology. The Jesuit mathematician held the belief that, precisely because of their abstraction, mathematical theorems and demonstrations lead one away from the mundane and toward the divine. On the contrary, he considered a research based on sense as too bound to human limitations (and, therefore, unreliable). Yet, Bettinus was a skilled astronomer; and clues of experimental knowledge are all but invisible in his work.[3]
His best-known work is Apiaria Universae Philosophiae Mathematicae 'Beehives of all mathematical philosophy' (1645), an encyclopedic collection of mathematical curiosities.[4] This book, reflecting his many interests, is a collection of scientific mysteries embracing everything from geometrical demonstrations to illusionistic stage sets, music, perpetual motion machines, and anamorphoses. According to Bettinus, the natural world abounds in mathematical delights such as spider webs and the honeycombs of bees. From these creations of nature can be drawn geometrical principles useful for mechanical, optical, and artistic designs.[5] This work had been reviewed by Christoph Grienberger.[6]
In his Apiaria military technologies featured prominently. His machines of war were mentioned by Montecuccoli, by the famous Jesuit mathematicians Athanasius Kircher and Jacques Ozanam and by the Polish master of artillery, Casimir Semenowycz. This book must have been rated highly by the English physician and philosopher Sir Thomas Browne, for a copy can be found in his library.
Bettinus' work included a commentary on the first six books of Euclid, a traditional part of Jesuit mathematical curriculum and a form followed by Clavius a half century earlier.[7] Bettinus penned a method for laying out a sundial which was posthumously published in the book Recreationum Mathematicarum Apiaria Novissima 1660.
Publicationsedit
Aerarium philosophiae mathematicae, Bologna 1648. Mainz, Stadtbibliothek
Apiaria Universae Philosophiae Mathematicae, in quibus Paradoxa, et nova pleraque machinamenta ad usus eximios traducta et facillimis demonstrationibus confirmata exhibentur, 3 vols. Bologna: Typis Io. Baptistae Ferronij, Venice: Apud Paulum Baleonium, 1642–55. The 'paradoxes' are of many different kinds—scientific ideas contrary to general opinion, logical and mathematical paradoxes, geometrical problems which had not yielded to solution, curious machines and engines, illusions, games, and tricks. Bettinus tackled the 'learned hallucinations' constellated about the quadrature problem, and about asymptotic lines which go de infinito infinito, as well as those that result from deformation of the rules of perspective. Archimedes' screw (which raised by lowering itself), wedges, levers all make their appearance, magnificently illustrated.[8]
Aerarium philosophiae mathematicae (in Latin). Vol. 1. Bologna: Giovanni Battista Ferroni. 1647.
Aerarium philosophiae mathematicae (in Latin). Vol. 2. Bologna: Giovanni Battista Ferroni. 1648.
Aerarium philosophiae mathematicae (in Latin). Vol. 3. Bologna: Giovanni Battista Ferroni. 1648.
^Scott, John M., S.J. (Fall 1995), "34 Jesuits on the Moon" (PDF), Creighton University Window: 12–15{{citation}}: CS1 maint: multiple names: authors list (link).
^De Lucca, Denis (2012). Jesuits and Fortifications: The Contribution of the Jesuits to Military Architecture in the Baroque Age. Brill Publishers. p. 90. ISBN9789004216518.
^Luzzini, Francesco (2016). "Description, analogy, symbolism, faith. Jesuit science and iconography in the early modern debate on the origin of springs". Acque Sotterranee - Italian Journal of Groundwater. 5 (2): 66. doi:10.7343/as-2016-223. hdl:10278/3743272.
^Gorman, Michael John (2003), "Mathematics and modesty in the Society of Jesus: The Problems of Christoph Grienberger (1564–1636)", in Feingold, Mordechai (ed.), , Archimedes, vol. 6, Dordrecht: Kluwer, pp. 1–120, archived from the original on March 13, 2005.
^Baldwin, Martha (2003). Feingold, Mordechai (ed.). "Pious Ambition: Natural Philosophy and the Jesuit Quest for the Patronage of Printed Books in the Seventeenth Century". Jesuit Science and the Republic of Letters. MIT Press: 298. ISBN0262062348.
Bettinus' (1642, 2 vol.) Apiaria universae philosophiae mathematicae - Linda Hall Library
April 15, 2024
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Bettinus redirects here For the lunar crater see Bettinus crater Mario Bettinus Italian name Mario Bettini 6 February 1582 7 November 1657 was an Italian Jesuit philosopher mathematician and astronomer The lunar crater Bettinus was named after him by Giovanni Riccioli in 1651 1 Mario BettinusBorn 1582 02 06 February 6 1582Bologna Papal StatesDied7 November 1657 1657 11 07 aged 75 Bologna Papal StatesNationalityItalianOther namesMario BettiniOccupationsJesuitmathematicianphilosopherscientistKnown forApiaria Universae Philosophiae Mathematicae Contents 1 Biography 2 Works 3 Publications 4 See also 5 References 6 External linksBiography editMario Bettinus studied mathematics under the Belgian Jean Verviers and Giuseppe Biancani at the Jesuit school in Parma He was responsible for teaching military architecture in Parma during the period 1624 1630 Among the students attending his classes at the seminarium nobilium were the two sons of Duke Ranuccio Ottavio and Odoardo Besides being Ottavio s teacher of military mathematics Bettinus also served as military consultant to the courts of Parma 1612 1613 Modena 1617 1618 and again Parma 1626 1627 and as a military architect at Novellara 1618 1619 seat of the novitiate of the Jesuit Provincia Veneta 2 Besides being the mentor of Guarino Guarini 1624 1683 Bettinus was also a close friend of Prince Raimondo Montecuccoli 1609 1680 the latter had even sent him a copy of his work on fortifications from Hohenneg on 15 July 1652 Works editBettinus privileged mathematics intended as the only discipline abstract enough to allow intellect to approach theology The Jesuit mathematician held the belief that precisely because of their abstraction mathematical theorems and demonstrations lead one away from the mundane and toward the divine On the contrary he considered a research based on sense as too bound to human limitations and therefore unreliable Yet Bettinus was a skilled astronomer and clues of experimental knowledge are all but invisible in his work 3 His best known work is Apiaria Universae Philosophiae Mathematicae Beehives of all mathematical philosophy 1645 an encyclopedic collection of mathematical curiosities 4 This book reflecting his many interests is a collection of scientific mysteries embracing everything from geometrical demonstrations to illusionistic stage sets music perpetual motion machines and anamorphoses According to Bettinus the natural world abounds in mathematical delights such as spider webs and the honeycombs of bees From these creations of nature can be drawn geometrical principles useful for mechanical optical and artistic designs 5 This work had been reviewed by Christoph Grienberger 6 In his Apiaria military technologies featured prominently His machines of war were mentioned by Montecuccoli by the famous Jesuit mathematicians Athanasius Kircher and Jacques Ozanam and by the Polish master of artillery Casimir Semenowycz This book must have been rated highly by the English physician and philosopher Sir Thomas Browne for a copy can be found in his library Bettinus work included a commentary on the first six books of Euclid a traditional part of Jesuit mathematical curriculum and a form followed by Clavius a half century earlier 7 Bettinus penned a method for laying out a sundial which was posthumously published in the book Recreationum Mathematicarum Apiaria Novissima 1660 Publications edit nbsp Aerarium philosophiae mathematicae Bologna 1648 Mainz StadtbibliothekApiaria Universae Philosophiae Mathematicae in quibus Paradoxa et nova pleraque machinamenta ad usus eximios traducta et facillimis demonstrationibus confirmata exhibentur 3 vols Bologna Typis Io Baptistae Ferronij Venice Apud Paulum Baleonium 1642 55 The paradoxes are of many different kinds scientific ideas contrary to general opinion logical and mathematical paradoxes geometrical problems which had not yielded to solution curious machines and engines illusions games and tricks Bettinus tackled the learned hallucinations constellated about the quadrature problem and about asymptotic lines which go de infinito infinito as well as those that result from deformation of the rules of perspective Archimedes screw which raised by lowering itself wedges levers all make their appearance magnificently illustrated 8 Aerarium philosophiae mathematicae in Latin Vol 1 Bologna Giovanni Battista Ferroni 1647 Aerarium philosophiae mathematicae in Latin Vol 2 Bologna Giovanni Battista Ferroni 1648 Aerarium philosophiae mathematicae in Latin Vol 3 Bologna Giovanni Battista Ferroni 1648 See also editList of Jesuit scientists List of Roman Catholic scientist clericsReferences edit Scott John M S J Fall 1995 34 Jesuits on the Moon PDF Creighton University Window 12 15 a href Template Citation html title Template Citation citation a CS1 maint multiple names authors list link De Lucca Denis 2012 Jesuits and Fortifications The Contribution of the Jesuits to Military Architecture in the Baroque Age Brill Publishers p 90 ISBN 9789004216518 Luzzini Francesco 2016 Description analogy symbolism faith Jesuit science and iconography in the early modern debate on the origin of springs Acque Sotterranee Italian Journal of Groundwater 5 2 66 doi 10 7343 as 2016 223 hdl 10278 3743272 Andersen Kirsti 2008 The Geometry of an Art The History of the Mathematical Theory of Perspective from Alberti to Monge Sources and Studies in the History of Mathematics and Physical Sciences Springer p 374 ISBN 9780387489469 The Age of the marvelous Hood Museum of Art 1991 p 436 ISBN 9780944722107 Gorman Michael John 2003 Mathematics and modesty in the Society of Jesus The Problems of Christoph Grienberger 1564 1636 in Feingold Mordechai ed The New Science and Jesuit Science Seventeenth Century Perspectives Archimedes vol 6 Dordrecht Kluwer pp 1 120 archived from the original on March 13 2005 Baldwin Martha 2003 Feingold Mordechai ed Pious Ambition Natural Philosophy and the Jesuit Quest for the Patronage of Printed Books in the Seventeenth Century Jesuit Science and the Republic of Letters MIT Press 298 ISBN 0262062348 Colie Rosalie Littell 1966 Paradoxia Epidemica The Renaissance Tradition of Paradox Princeton University Press pp 305 6 ISBN 9780691650487 External links editBettinus 1642 2 vol Apiaria universae philosophiae mathematicae Linda Hall Library Retrieved from https en wikipedia org w index php title Mario Bettinus amp oldid 1193552478, wikipedia, wiki, book, books, library,
