Mario Bettini
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Mario Bettinus (
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Ita ...
name: Mario Bettini; 6 February 1582 – 7 November 1657) was an Italian
Jesuit , image = Ihs-logo.svg , image_size = 175px , caption = ChristogramOfficial seal of the Jesuits , abbreviation = SJ , nickname = Jesuits , formation = , founders ...
philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
,
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and
astronomer An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, natural satellite, moons, comets and galaxy, g ...
. The lunar crater Bettinus was named after him by
Giovanni Riccioli Giovanni Battista Riccioli, Society of Jesus, SJ (17 April 1598 – 25 June 1671) was an Italian astronomer and a Catholic church, Catholic priest in the Jesuit order. He is known, among other things, for his experiments with pendulums and with f ...
in 1651.


Biography

Mario Bettinus studied mathematics under the Belgian Jean Verviers and
Giuseppe Biancani Giuseppe Biancani, SJ (Latin: Josephus Blancanus) (1566–1624) was an Italian Jesuit astronomer, mathematician, and selenographer, after whom the crater Blancanus on the Moon is named. He was a native of Bologna. Works His ''Aristotelis ...
at the Jesuit school in
Parma Parma (; egl, Pärma, ) is a city in the northern Italian region of Emilia-Romagna known for its architecture, Giuseppe Verdi, music, art, prosciutto (ham), Parmigiano-Reggiano, cheese and surrounding countryside. With a population of 198,292 ...
. He was responsible for teaching
military architecture Military engineering is loosely defined as the art, science, and practice of designing and building military works and maintaining lines of military transport and military communications. Military engineers are also responsible for logistics be ...
in
Parma Parma (; egl, Pärma, ) is a city in the northern Italian region of Emilia-Romagna known for its architecture, Giuseppe Verdi, music, art, prosciutto (ham), Parmigiano-Reggiano, cheese and surrounding countryside. With a population of 198,292 ...
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 Odoardo is a given name. Notable people with the name include: *Odoardo Barri (1844–1920), the pseudonym of Edward Slater *Odoardo Beccari (1843–1920), Italian naturalist, discovered the titan arum in Sumatra in 1878 *Odoardo Borrani (1833–19 ...
. Besides being Ottavio's teacher of military mathematics, Bettinus also served as military consultant to the courts of Parma (1612–1613),
Modena Modena (, , ; egl, label=Emilian language#Dialects, Modenese, Mòdna ; ett, Mutna; la, Mutina) is a city and ''comune'' (municipality) on the south side of the Po Valley, in the Province of Modena in the Emilia-Romagna region of northern I ...
(1617–1618) and again Parma (1626–1627), and as a military architect at
Novellara Novellara ( Reggiano: or ) is a town and ''comune'' in the province of Reggio Emilia, Emilia-Romagna, Italy and has a population of 13,670. It is north of Reggio Emilia and has a railway station for the local train going from Reggio to Guastalla. ...
(1618–1619), seat of the novitiate of the Jesuit ‘''Provincia Veneta''’. Besides being the mentor of
Guarino Guarini Camillo Guarino Guarini (17 January 1624 – 6 March 1683) was an Italian architect of the Piedmontese Baroque, active in Turin as well as Sicily, France, and Portugal. He was a Theatine priest, mathematician, and writer.. Biography Guarini wa ...
(1624–1683), Bettinus was also a close friend of Prince
Raimondo Montecuccoli Raimondo Montecuccoli (; 21 February 1609 – 16 October 1680) was an Italian-born professional soldier, military theorist, and diplomat, who served the Habsburg monarchy. Experiencing the Thirty Years' War from scratch as a simple footsoldier ...
(1609–1680)—the latter had even sent him a copy of his work on fortifications from Hohenneg on 15 July 1652.


Works

Bettinus privileged mathematics, intended as the only discipline abstract enough to allow intellect to approach
theology Theology is the systematic study of the nature of the divine and, more broadly, of religious belief. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of analyzing the ...
. 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 An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, natural satellite, moons, comets and galaxy, g ...
; and clues of experimental knowledge are all but invisible in his work. His best-known work is ''Apiaria Universae Philosophiae Mathematicae'' '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, 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. This work had been reviewed by
Christoph Grienberger Christoph (Christophorus) Grienberger (also variously spelled Gruemberger, Bamberga, Bamberger, Banbergiera, Gamberger, Ghambergier, Granberger, Panberger) (2 July 1561 – 11 March 1636) was an Austrian Jesuit astronomer, after whom the crate ...
. In his ''Apiaria'' military technologies featured prominently. His machines of war were mentioned by Montecuccoli, by the famous Jesuit mathematicians
Athanasius Kircher Athanasius Kircher (2 May 1602 – 27 November 1680) was a German Jesuit scholar and polymath A polymath ( el, πολυμαθής, , "having learned much"; la, homo universalis, "universal human") is an individual whose knowledge spans ...
and
Jacques Ozanam Jacques Ozanam (16 June 1640, in Sainte-Olive, Ain – 3 April 1718, in Paris) was a French mathematician. Biography Jacques Ozanam was born in Sainte-Olive, Ain, France. In 1670, he published trigonometric and logarithmic tables more accura ...
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 Sir Thomas Browne (; 19 October 160519 October 1682) was an English polymath and author of varied works which reveal his wide learning in diverse fields including science and medicine, religion and the esoteric. His writings display a deep curi ...
, for a copy can be found in his library. Bettinus' work included a commentary on the first six books of
Euclid Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' trea ...
, a traditional part of Jesuit mathematical curriculum and a form followed by
Clavius Christopher Clavius, SJ (25 March 1538 – 6 February 1612) was a Jesuit German mathematician, head of mathematicians at the Collegio Romano, and astronomer who was a member of the Vatican commission that accepted the proposed calendar inve ...
a half century earlier. Bettinus penned a
method Method ( grc, μέθοδος, methodos) literally means a pursuit of knowledge, investigation, mode of prosecuting such inquiry, or system. In recent centuries it more often means a prescribed process for completing a task. It may refer to: *Scien ...
for laying out a
sundial A sundial is a horological device that tells the time of day (referred to as civil time in modern usage) when direct sunlight shines by the apparent position of the Sun in the sky. In the narrowest sense of the word, it consists of a flat ...
which was posthumously published in the book ''Recreationum Mathematicarum Apiaria Novissima'' 1660.


Publications

*''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 The Archimedes screw, also known as the Archimedean screw, hydrodynamic screw, water screw or Egyptian screw, is one of the earliest hydraulic machines. Using Archimedes screws as water pumps (Archimedes screw pump (ASP) or screw pump) dates back ...
(which raised by lowering itself), wedges, levers all make their appearance, magnificently illustrated. * ** ***


See also

*
List of Jesuit scientists This is a list of Catholic clergy throughout history who have made contributions to science. These churchmen-scientists include Nicolaus Copernicus, Gregor Mendel, Georges Lemaître, Albertus Magnus, Roger Bacon, Pierre Gassendi, Roger Joseph ...
*
List of Roman Catholic scientist-clerics A ''list'' is any set of items in a row. List or lists may also refer to: People * List (surname) Organizations * List College, an undergraduate division of the Jewish Theological Seminary of America * SC Germania List, German rugby union ...


References


External links

*Bettinus' (1642, 2 vol.
''Apiaria universae philosophiae mathematicae''
- Linda Hall Library {{DEFAULTSORT:Bettinus 1582 births 1657 deaths People from Bologna 17th-century Italian astronomers 17th-century Italian mathematicians Italian philosophers Catholic clergy scientists 17th-century Italian Jesuits Jesuit scientists