38:
443:, 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
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342:. 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
353:'Beehives of all mathematical philosophy' (1645), an encyclopedic collection of mathematical curiosities. This book, reflecting his many interests, is a collection of scientific mysteries embracing everything from geometrical demonstrations to illusionistic stage sets,
373:. 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. The
289:. Bettinus was somewhat ambivalent towards Galileo's Copernicanism and his new astronomical observations. Although generally recognizing the importance of Galileo's discoveries, he disagreed with some of the conclusions expounded in
46:. An elderly Jesuit man (possibly Bettini himself), gestures towards the garden at right, where young men enjoy mathematic instruments, which are also being used by the statues that surround the loggia in the middle ground.
381:
of these machines, which – Bettini points out – are rough imitations of the great and perfect mechanisms provided by nature. The work included a commentary on the first six books of
441:
Apiaria
Universae Philosophiae Mathematicae, in quibus Paradoxa, et nova pleraque machinamenta ad usus eximios traducta et facillimis demonstrationibus confirmata exhibentur
838:
Baldwin, Martha (2003). Feingold, Mordechai (ed.). "Pious
Ambition: Natural Philosophy and the Jesuit Quest for the Patronage of Printed Books in the Seventeenth Century".
1805:
546:
970:
Aricò, Denise (2002). "Politica e istruzione alla corte di
Ranuccio Farnese: i gesuiti Mario Bettini e Jean Verviers". In Gian Paolo Brizzi; Roberto Greci (eds.).
669:
Gorman, Michael John (2003), "Mathematics and modesty in the
Society of Jesus: The Problems of Christoph Grienberger (1564–1636)", in Feingold, Mordechai (ed.),
295:
especially over the height of the mountains on the moon. According to
Bettini, if there were very high mountains on the Moon, the lunar disk observed with the
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surveys a staggering array of instruments, machines, and other tangible applications of mathematical principles. It is illustrated with beautiful
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A Catalogue of the
Libraries of Sir Thomas Browne and Dr. Edward Browne, His Son: A Facsimile Reproduction with an Introduction, Notes, and Index
1225:
641:
Denise Aricò, ""In
Doctrinis Glorificate Dominum': Alcuni aspetti della ricezione di Clavio nella produzione scientifica di Mario Bettini," in
1947:
262:. Besides being Ottavio's teacher of military mathematics, Bettinus also served as military consultant to the courts of Parma (1612–1613),
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would appear irregular and jagged, while on the contrary, it looked perfectly round. Bettini's objections echoed the doubts raised in
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military technologies featured prominently. His machines of war were mentioned by
Montecuccoli, by the famous Jesuit mathematicians
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721:"Description, analogy, symbolism, faith. Jesuit science and iconography in the early modern debate on the origin of springs"
307:. Giovanni Riccioli, who heard Bettinus lecture at Parma, mentions his attempts to measure the heights of lunar mountains.
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and by the Polish master of artillery, Casimir
Semenowycz. The book was a huge success throughout Europe. It was read by
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322:(1609–1680)—the latter had even sent him a copy of his work on fortifications from Hohenegg on 15 July 1652. He opposed
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Briatore, Samuele (2015). "Suono e acustica nella trattatistica gesuitica del
Seicento. Il caso di Mario Bettini".
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168:
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602:
Carolino, Luís Miguel (2019). "Astronomy, Cosmology and Jesuit Discipline, 1540-1758". In Ines G. Županov (ed.).
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Beeley, Philip (2024). "Mathematical Businesses: Seventeenth-Century Practitioners and their Academic Friends".
338:
Bettinus privileged mathematics, intended as the only discipline abstract enough to allow intellect to approach
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Aricò, Denise (2006). "Una corrispondenza fra il gesuita bolognese Mario Bettini e Raimondo Montecuccoli".
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Gesuiti e università in Europa (secoli XVI-XVIII) Atti del Convegno di studi. Parma, 13-15 dicembre 2001
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Jesuits and Fortifications: The Contribution of the Jesuits to Military Architecture in the Baroque Age
455:(which raised by lowering itself), wedges, levers all make their appearance, magnificently illustrated.
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The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to Monge
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during the period 1624–1630. Among the students attending his classes were the two sons of Duke
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768:, Sources and Studies in the History of Mathematics and Physical Sciences, Springer, p.
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On Bettini, his place among the Jesuits and his relationship with Christoph Grienberger, see
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238:. When Biancani died in 1624, the chair of mathematics went to Bettini, who taught
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Christoph Clavius e l'attività scientifica dei Gesuiti nelletà di Galileo
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658:, with an introduction and notes by E. Rosen (New York, 1965). pp. 28-9.
266:(1617–1618) and again Parma (1626–1627), and as a military architect at
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230:
Mario Bettinus studied mathematics under the Belgian Jean Verviers and
200:
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65:
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Who's Who on the Moon: A Biographical Dictionary of Lunar Nomenclature
1008:
Gatto, Romano (2019). "Jesuit mathematics". In Ines G. Županov (ed.).
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for laying out a sundial which was posthumously published in the book
645:, Ugo Baldini, ed. (Rome: Bulzoni: 1995), 189-207, especially 191-196.
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Galileo's Visions. Piercing the Spheres of the Heavens by Eye and Mind
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The New Science and Jesuit Science: Seventeenth Century Perspectives
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Beyond the Learned Academy: The Practice of Mathematics, 1600-1850
484:(in Latin). Vol. 3. Bologna: Giovanni Battista Ferroni. 1648.
474:(in Latin). Vol. 2. Bologna: Giovanni Battista Ferroni. 1648.
464:(in Latin). Vol. 1. Bologna: Giovanni Battista Ferroni. 1647.
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Scienza, teatro e spiritualità barocca: il gesuita Mario Bettini
1088:
16:
Italian mathematician, astronomer and philosopher (1582–1657)
1084:
246:, and conics theory. He was also responsible for teaching
199:; 6 February 1582 – 7 November 1657) was an Italian
920:
Paradoxia Epidemica: The Renaissance Tradition of Paradox
285:, meaning a scholar who relies on mathematics to study
19:"Bettinus" redirects here. For the lunar crater, see
1012:. Oxford: Oxford University Press. p. 637-669.
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725:Acque Sotterranee - Italian Journal of Groundwater
270:(1618–1619), seat of the novitiate of the Jesuit ‘
1806:International Association of Jesuit Universities
606:. Oxford: Oxford University Press. p. 671.
330:and the theory of the infinitesimal quantities.
656:Conversation with Galileo's Sidereal Messenger
631:. Oxford: Oxford University Press. p. 89.
1100:
798:Recreationum Mathematicarum Apiaria Novissima
416:of the English physician and philosopher Sir
318:, Bettinus was also a close friend of Prince
8:
1066:Forum Italicum: A Journal of Italian Studies
871:. Oxford: Oxford University Press: 294–295.
627:Piccolino, Marco; Wade, Nicholas J. (2014).
545:: CS1 maint: multiple names: authors list (
1057:Apiaria universae philosophiae mathematicae
1027:Cocks, Elijah E.; Cocks, Josiah C. (1995).
351:Apiaria Universae Philosophiae Mathematicae
277:Bettinus was primarily a mathematician and
149:Apiaria Universae Philosophiae Mathematicae
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840:Jesuit Science and the Republic of Letters
36:
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1146:Spiritual Exercises of Ignatius of Loyola
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1757:Superior General of the Society of Jesus
505:List of Roman Catholic scientist-clerics
1799:List of Jesuit educational institutions
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894:. Brill Publishers. pp. 109–110.
675:, Archimedes, vol. 6, Dordrecht:
538:
234:at the Jesuit College of S. Rocco, in
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412:and a copy of it can be found in the
365:. The second volume has a section on
7:
974:. Bologna: CLUEB. pp. 213–242.
1933:17th-century Italian mathematicians
1199:Suppression of the Society of Jesus
1010:The Oxford Handbook of the Jesuits
877:10.1093/oso/9780198863953.003.0011
604:The Oxford Handbook of the Jesuits
524:Scott, John M., S.J. (Fall 1995),
481:Aerarium philosophiae mathematicae
471:Aerarium philosophiae mathematicae
461:Aerarium philosophiae mathematicae
44:Aerarium Philosophiae Mathematicae
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1938:17th-century Italian philosophers
1928:17th-century Italian astronomers
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1872:
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1792:Jesuit missions in North America
1215:
890:Finch, Jeremiah S., ed. (2023).
42:Frontispiece of Mario Bettini's
1764:Pontifical Gregorian University
679:, pp. 4–7, archived from
305:Dissertatio cum Nuntio Sidereo
1:
1813:Ignatian Pedagogical Paradigm
1778:Pontifical Oriental Institute
1771:Pontifical Biblical Institute
1173:Regimini militantis Ecclesiae
1948:17th-century Italian Jesuits
1403:Roque González de Santa Cruz
314:(1624–1683) and a friend of
310:Besides being the mentor of
719:Luzzini, Francesco (2016).
533:Creighton University Window
1974:
1943:Catholic clergy scientists
1849:Saint-Pierre de Montmartre
1716:List of Jesuit theologians
1681:Pierre Teilhard de Chardin
924:Princeton University Press
169:Giovanni Battista Riccioli
18:
1865:
1213:
1054:Bettinus' (1642, 2 vol.)
762:Andersen, Kirsti (2008),
500:List of Jesuit scientists
389:a half century earlier.
355:perpetual motion machines
182:
154:
35:
1606:Alfonso Rodríguez Olmedo
1078:10.1177/0014585815583287
811:The Age of the marvelous
573:De Lucca, Denis (2012).
526:"34 Jesuits on the Moon"
283:philosophus mathematicus
1958:Scientists from Bologna
1347:Claude de la Colombière
349:His best-known work is
281:. He labeled himself a
218:was named after him by
1892:Catholicism portal
1155:Ad maiorem Dei gloriam
1131:Protestant Reformation
951:Aricò, Denise (1996).
916:Colie, Rosalie Littell
436:
328:method of indivisibles
279:mathematical physicist
1785:Jesuit China missions
817:. 1991. p. 436.
431:
324:Bonaventura Cavalieri
320:Raimondo Montecuccoli
316:Christoph Grienberger
248:military architecture
1839:Madonna Della Strada
1750:General Congregation
1742:La Civiltà Cattolica
1695:John Courtney Murray
1060:- Linda Hall Library
1033:. Tudor Publishers.
449:de infinito infinito
435:named after Bettinus
1923:People from Bologna
1564:Alphonsus Rodriguez
1501:Lèon-Ignance Mangin
1452:Francis de Geronimo
1424:Melchior Grodziecki
1138:Counter-Reformation
989:Filologia e Critica
738:10.7343/as-2016-223
214:. The lunar crater
1831:Church of the Gesù
1557:John Francis Regis
1550:Bernardino Realino
1445:Ignatius of Loyola
955:. Bologna: CLUEB.
926:. pp. 305–6.
815:Hood Museum of Art
792:Bettinus penned a
437:
398:Athanasius Kircher
287:natural philosophy
1953:Jesuit scientists
1900:
1899:
1856:Claudio Acquaviva
1536:Joseph Pignatelli
1473:Stanislaus Kostka
1410:John Soan de Goto
1326:Juan del Castillo
1256:Robert Bellarmine
1249:Edmund Arrowsmith
683:on March 13, 2005
453:Archimedes' screw
232:Giuseppe Biancani
220:Giovanni Riccioli
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292:Sidereus Nuncius
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162:Notable students
106:Other names
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1072:(2): 322–337.
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1049:External links
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995:(2): 288–312.
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709:, p. 646.
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581:. p. 90.
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30:Mario Bettinus
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1382:Thomas Garnet
1379:
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1330:
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1040:9780936389271
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1019:9780190639655
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1001:10.1400/81069
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697:, p. 69.
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418:Thomas Browne
415:
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237:
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217:
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209:
208:mathematician
205:
202:
198:
197:Mario Bettini
194:
190:
181:
175:
172:
170:
167:
166:
164:
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137:
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126:mathematician
124:
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119:
118:
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109:Mario Bettini
108:
104:
101:
98:
94:
89:
79:
75:
71:
67:
54:
50:
45:
39:
34:
27:
22:
1876:
1837:
1740:
1646:Diego Laynez
1522:John Ogilvie
1459:Isaac Jogues
1368:Philip Evans
1340:Peter Claver
1189:
1180:
1171:
1162:
1153:
1144:
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1009:
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945:Bibliography
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839:
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690:
681:the original
671:
663:
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637:
628:
622:
603:
597:
574:
568:
556:
532:
519:
480:
470:
460:
448:
440:
424:Publications
410:Isaac Barrow
406:John Collins
393:
391:
374:
359:anamorphoses
350:
348:
337:
309:
304:
290:
282:
276:
271:
240:military art
229:
196:
188:
187:
155:
148:
82:(1657-11-07)
70:Papal States
43:
1918:1657 deaths
1913:1582 births
1674:Karl Rahner
1515:Henry Morse
1494:David Lewis
1466:James Kisai
1417:René Goupil
1375:Peter Faber
433:Moon crater
244:stereometry
204:philosopher
131:philosopher
114:Occupations
96:Nationality
1907:Categories
1734:Bollandist
1438:Rémy Isoré
853:0262062348
707:Gatto 2019
695:Aricò 1996
561:Aricò 1996
511:References
379:engravings
344:astronomer
212:astronomer
58:1582-02-06
1508:Paul Miki
1361:Paul Denn
844:MIT Press
731:(2): 66.
447:which go
371:acoustics
297:telescope
268:Novellara
226:Biography
222:in 1651.
136:scientist
1878:Category
1637:Theology
918:(1966).
541:citation
494:See also
363:sundials
340:theology
252:Ranuccio
216:Bettinus
1823:Related
1726:General
1626:Francis
1123:History
1116:Jesuits
846:: 298.
535:: 12–15
414:library
394:Apiaria
392:In his
387:Clavius
375:Apiaria
260:Odoardo
256:Ottavio
193:Italian
100:Italian
88:Bologna
66:Bologna
1870:
1226:Saints
1037:
1016:
959:
930:
898:
850:
821:
794:method
776:
677:Kluwer
610:
585:
383:Euclid
264:Modena
201:Jesuit
195:name:
121:Jesuit
1617:Popes
1164:Magis
800:1660.
529:(PDF)
367:music
334:Works
236:Parma
1035:ISBN
1014:ISBN
993:XXXI
957:ISBN
928:ISBN
896:ISBN
848:ISBN
819:ISBN
774:ISBN
608:ISBN
583:ISBN
547:link
408:and
400:and
369:and
361:and
258:and
210:and
77:Died
52:Born
1074:doi
997:doi
976:doi
873:doi
770:374
743:hdl
733:doi
326:'s
303:'s
274:’.
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1070:49
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745::
735::
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