Francesco Maurolico
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Francesco Maurolico (
Latin Latin (, or , ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the ...
: ''Franciscus Maurolycus''; Italian: ''Francesco Maurolico''; gr, Φραγκίσκος Μαυρόλυκος, 16 September 1494 - 21/22 July 1575) was a mathematician and astronomer from
Sicily (man) it, Siciliana (woman) , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = Ethnicity , demographics1_footnotes = , demographi ...
. He made contributions to the fields of
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
,
optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviole ...
,
conics In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a speci ...
,
mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
,
music Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect ...
, and
astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
. He edited the works of classical authors including
Archimedes Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists ...
, Apollonius, Autolycus,
Theodosius Theodosius ( Latinized from the Greek "Θεοδόσιος", Theodosios, "given by god") is a given name. It may take the form Teodósio, Teodosie, Teodosije etc. Theodosia is a feminine version of the name. Emperors of ancient Rome and Byzantium ...
and Serenus. He also composed his own unique treatises on mathematics and
mathematical science The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper. Statisti ...
.


Life

Francesco was born in
Messina Messina (, also , ) is a harbour city and the capital of the Italian Metropolitan City of Messina. It is the third largest city on the island of Sicily, and the 13th largest city in Italy, with a population of more than 219,000 inhabitants in ...
with the surname of Marulì, although the surname is sometimes reported as "Mauroli". He was one of seven sons of Antonio Marulì, a government official, and Penuccia. His father was a Greek physician who fled
Constantinople la, Constantinopolis ota, قسطنطينيه , alternate_name = Byzantion (earlier Greek name), Nova Roma ("New Rome"), Miklagard/Miklagarth (Old Norse), Tsargrad ( Slavic), Qustantiniya (Arabic), Basileuousa ("Queen of Cities"), Megalopolis (" ...
when the Ottomans invaded the city. Antonio had studied with the Neoplatonic Hellenist
Constantine Lascaris Constantine Lascaris ( el, Κωνσταντῖνος Λάσκαρις ''Kostantinos Láskaris''; 1434 – 15 August 1501) was a Greek scholar and grammarian, one of the promoters of the revival of Greek learning in Italy during the Renaissance, ...
, so Francesco received a "Lascarian" education through his father and from Francesco Faraone and Giacomo Genovese, also disciples of Lascaris, whose influence is recognizable. In 1534 Francesco Marulì changed his surname to Mauro Lyco (from the meaning of "occult wolf"), after having adopted for eight years, uninterruptedly, the name of Mauro Lycio ("occult
Apollo Apollo, grc, Ἀπόλλωνος, Apóllōnos, label=genitive , ; , grc-dor, Ἀπέλλων, Apéllōn, ; grc, Ἀπείλων, Apeílōn, label=Arcadocypriot Greek, ; grc-aeo, Ἄπλουν, Áploun, la, Apollō, la, Apollinis, label= ...
") as a member of a Messina academy. Having already obtained priestly ordination since 1521 and, consequently, some ecclesiastical benefit, he was appointed
abbot Abbot is an ecclesiastical title given to the male head of a monastery in various Western religious traditions, including Christianity. The office may also be given as an honorary title to a clergyman who is not the head of a monastery. The fem ...
of the monastery of Santa Maria del Parto (in
Castelbuono Castelbuono ( Sicilian: ''Castiddubbuonu'') is a town and ''comune'' in the Metropolitan City of Palermo, Sicily (southern Italy). Fountain of Venere Ciprea. It is known for its castle from which its name derives, and around which the city devel ...
) in 1550 by
Simone Ventimiglia Simone may refer to: * Simone (given name), a feminine (or Italian masculine) given name of Hebrew origin * Simone (surname), an Italian surname Simone may also refer to: * ''Simone'' (1918 film), a French silent drama film * ''Simone'' (1926 fi ...
marquis of Geraci, pupil and patron of Maurolico. He died in 1575 of natural death, during a plague epidemic due to which the mathematician had retired to Contrada Annunziata: a hilly area north of Messina, where the Marulì family owned a villa that probably had hosted, sometimes, the academy of which the scientist-humanist had been part. He is buried in the church of San Giovanni di Malta in Messina, where his nephews Francesco and Silvestro Maurolico erected an artistic marble sarcophagus, accompanied by the uncle's bust and Maurolico's coat of arms with the wolf and the star
Sirius Sirius is the list of brightest stars, brightest star in the night sky. Its name is derived from the Ancient Greek language, Greek word , or , meaning 'glowing' or 'scorching'. The star is designated α Canis Majoris, Latinisation ...
.


Accomplishments

In 1535 Maurolico collaborated with the painter
Polidoro da Caravaggio Polidoro Caldara, usually known as Polidoro da Caravaggio ( – 1543) was an Italian painter of the Mannerist period, "arguably the most gifted and certainly the least conventional of Raphael's pupils", who was best known for his now-vanished pa ...
in designing triumphal arches (composing the Latin inscriptions for this ''apparato'') for the entry into the city of
Messina Messina (, also , ) is a harbour city and the capital of the Italian Metropolitan City of Messina. It is the third largest city on the island of Sicily, and the 13th largest city in Italy, with a population of more than 219,000 inhabitants in ...
by Holy Roman Emperor
Charles V Charles V may refer to: * Charles V, Holy Roman Emperor (1500–1558) * Charles V of Naples (1661–1700), better known as Charles II of Spain * Charles V of France (1338–1380), called the Wise * Charles V, Duke of Lorraine (1643–1690) * Infan ...
. Like his father, he also became head of the Messina
mint MiNT is Now TOS (MiNT) is a free software alternative operating system kernel for the Atari ST system and its successors. It is a multi-tasking alternative to TOS and MagiC. Together with the free system components fVDI device drivers, XaA ...
and for a time was in charge of maintaining the fortifications of the city on behalf of Charles V. Maurolico tutored the two sons of Charles's viceroy in Sicily,
Juan de Vega Juan de Vega y Enríquez, 1st Count of Grajal, ''6th Lord of Grajal'', ''Viceroy of Navarre'' (1542), ''Viceroy and Captain General of Sicily'' (1547–1557), ''presidente del Consejo de Castilla'', was an ambassador of Charles V, Holy Roman Emp ...
, and had the patronage of many rich and powerful men. He also corresponded with scholars such as
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 ...
and
Federico Commandino Federico Commandino (1509 – 5 September 1575) was an Italian humanist and mathematician. Born in Urbino, he studied at Padua and at Ferrara, where he received his doctorate in medicine. He was most famous for his central role as translator o ...
. In 1547 he collaborated with the sculptor
Giovanni Angelo Montorsoli Giovanni Angelo Montorsoli (1507 – 31 August 1563), also known as Giovann'Agnolo Montorsoli, was a Florentine sculptor and Servite friar. He is today as often remembered for his restorations of famous classical works as his original crea ...
for the creation of the famous ''Orion Fountain'' in Messina. By Maurolico are the Latin inscriptions on the ground-level basin of the fountain and, probably, most of the Neoplatonic program for this monumental civic sculpture. Between 1548 and 1550, he stayed at the castle of Pollina in Sicily as a guest of the marquis Giovanni II Ventimiglia, and utilized the castle tower in order to carry out astronomical observations. Maurolico's astronomical observations include a sighting of the
supernova A supernova is a powerful and luminous explosion of a star. It has the plural form supernovae or supernovas, and is abbreviated SN or SNe. This transient astronomical event occurs during the last evolutionary stages of a massive star or when ...
that appeared in Cassiopeia in 1572.
Tycho Brahe Tycho Brahe ( ; born Tyge Ottesen Brahe; generally called Tycho (14 December 154624 October 1601) was a Danish astronomer, known for his comprehensive astronomical observations, generally considered to be the most accurate of his time. He was k ...
published details of his observations in 1574; the supernova is now known as
Tycho's Supernova SN 1572 ('' Tycho's Supernova'', ''Tycho's Nova''), or B Cassiopeiae (B Cas), was a supernova of Type Ia in the constellation Cassiopeia, one of eight supernovae visible to the naked eye in historical records. It appeared in early November 1572 ...
. In 1569, he was appointed professor at the
University of Messina The University of Messina ( it, Università degli Studi di Messina; Latin: ''Studiorum Universitas Messanae''), known colloquially as UniME, is a state university located in Messina, Sicily, Italy. Founded in 1548 by Pope Paul III, it was the world ...
.


Works

* Maurolico's ''Photismi de lumine et umbra'' and ''Diaphana'' concern the
refraction In physics, refraction is the redirection of a wave as it passes from one medium to another. The redirection can be caused by the wave's change in speed or by a change in the medium. Refraction of light is the most commonly observed phenomeno ...
of light and attempted to explain the natural phenomenon of the
rainbow A rainbow is a meteorological phenomenon that is caused by reflection, refraction and dispersion of light in water droplets resulting in a spectrum of light appearing in the sky. It takes the form of a multicoloured circular arc. Rainbows c ...
. He also studied the
camera obscura A camera obscura (; ) is a darkened room with a aperture, small hole or lens at one side through which an image is 3D projection, projected onto a wall or table opposite the hole. ''Camera obscura'' can also refer to analogous constructions su ...
. ''Photismi'' were completed in 1521, ''Diaphana'' first part 1523, the second and third ones in 1552, but all the material was published posthumously only in 1611. * His unpublished manuscript ''Compaginationes solidorum regularium'' (1537) includes a statement of
Euler's formula Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that for an ...
V-E+F=2 for the
Platonic solid In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges c ...
s, long before
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
formulated it more generally for
convex polyhedra A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n. Most texts. use the term "polytope" for a bounded convex polytope, and the wo ...
in 1752. * His ''Arithmeticorum libri duo'' (1575) includes the first known proof by
mathematical induction Mathematical induction is a method for proving that a statement ''P''(''n'') is true for every natural number ''n'', that is, that the infinitely many cases ''P''(0), ''P''(1), ''P''(2), ''P''(3), ...  all hold. Informal metaphors help ...
. * His ''De momentis aequalibus '' (completed in 1548, but first published only in 1685) attempted to calculate the
barycenter In astronomy, the barycenter (or barycentre; ) is the center of mass of two or more bodies that orbit one another and is the point about which the bodies orbit. A barycenter is a dynamical point, not a physical object. It is an important con ...
of various bodies (
pyramid A pyramid (from el, πυραμίς ') is a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense. The base of a pyramid can be trilateral, quadrilat ...
,
paraboloid In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Every plane ...
, etc.). * In his ''Sicanicarum rerum compendium'', he presented the history of
Sicily (man) it, Siciliana (woman) , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = Ethnicity , demographics1_footnotes = , demographi ...
, and included some autobiographical details. He had been commissioned to write this work, and in 1553 the Senate of Messina granted him a salary of 100 gold pieces per year for two years so that he could finish this work and his works on mathematics. * His ''De Sphaera Liber Unus'' (1575) contains a fierce attack against
Copernicus Nicolaus Copernicus (; pl, Mikołaj Kopernik; gml, Niklas Koppernigk, german: Nikolaus Kopernikus; 19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated ...
' heliocentrism, in which Maurolico writes that Copernicus “deserved a whip or a scourge rather than a refutation”. * Maurolico published a ''Cosmographia'' in which he described a methodology for measuring the earth, which was later employed by Jean Picard in measuring length of meridian arc in 1670. * Maurolico published an edition of Aristotle's ''
Mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
'', and a work on music. He summarized Ortelius's ''Theatrum orbis terrarum'' and also wrote ''Grammatica rudimenta'' (1528) and ''De lineis horariis''. He made a map of Sicily, which was published in 1575. * Maurolico worked on ancient mathematical texts:
Theodosius of Bithynia Theodosius of Bithynia ( grc-gre, Θεοδόσιος; c. 169 BCc. 100 BC) was a Greek astronomer and mathematician who wrote the ''Sphaerics'', a book on the geometry of the sphere. Life Born in Tripolis, in Bithynia, Theodosius was m ...
,
Menelaus of Alexandria Menelaus of Alexandria (; grc-gre, Μενέλαος ὁ Ἀλεξανδρεύς, ''Menelaos ho Alexandreus''; c. 70 – 140 CE) was a GreekEncyclopædia Britannica "Greek mathematician and astronomer who first conceived and defined a spheric ...
,
Autolycus of Pitane Autolycus of Pitane ( el, Αὐτόλυκος ὁ Πιταναῖος; c. 360 – c. 290 BC) was a Greek astronomer, mathematician, and geographer. The lunar crater Autolycus was named in his honour. Life and work Autolycus was born in Pitane, ...
,
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 ...
,
Apollonius of Perga Apollonius of Perga ( grc-gre, Ἀπολλώνιος ὁ Περγαῖος, Apollṓnios ho Pergaîos; la, Apollonius Pergaeus; ) was an Ancient Greek geometer and astronomer known for his work on conic sections. Beginning from the contribution ...
and
Archimedes Archimedes of Syracuse (;; ) was a Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists ...
. He did not make new translations, but working on the existing ones, he provided new and sound interpretations of Greek mathematics.


Publications

* * *


Death and legacy

He died at
Messina Messina (, also , ) is a harbour city and the capital of the Italian Metropolitan City of Messina. It is the third largest city on the island of Sicily, and the 13th largest city in Italy, with a population of more than 219,000 inhabitants in ...
. The lunar crater Maurolycus is named after him. There is a school in
Messina Messina (, also , ) is a harbour city and the capital of the Italian Metropolitan City of Messina. It is the third largest city on the island of Sicily, and the 13th largest city in Italy, with a population of more than 219,000 inhabitants in ...
with his name. In 2009 the Italian Ministry of Cultural Heritage has ordained the establishment of the ''Edizione nazionale dell'opera matematica di Francesco Maurolico'' (National Edition of Maurolico's mathematical oeuvre).


See also

*
Camera obscura A camera obscura (; ) is a darkened room with a aperture, small hole or lens at one side through which an image is 3D projection, projected onto a wall or table opposite the hole. ''Camera obscura'' can also refer to analogous constructions su ...
*
Center of mass In physics, the center of mass of a distribution of mass in space (sometimes referred to as the balance point) is the unique point where the weighted relative position of the distributed mass sums to zero. This is the point to which a force may ...
*
Commandino's theorem Commandino's theorem, named after Federico Commandino (1509–1575), states that the four medians of a tetrahedron are concurrent at a point ''S'', which divides them in a 3:1 ratio. In a tetrahedron a median is a line segment that connects a vert ...
*
Descartes on Polyhedra ''Descartes on Polyhedra: A Study of the "De solidorum elementis"'' is a book in the history of mathematics, concerning the work of René Descartes on polyhedra. Central to the book is the disputed priority for Euler's polyhedral formula between ...
*
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 ...
*
Greek scholars in the Renaissance The migration waves of Byzantine Greek scholars and émigrés in the period following the end of the Byzantine Empire in 1453 is considered by many scholars key to the revival of Greek studies that led to the development of the Renaissance ...
*
Mathematical induction Mathematical induction is a method for proving that a statement ''P''(''n'') is true for every natural number ''n'', that is, that the infinitely many cases ''P''(0), ''P''(1), ''P''(2), ''P''(3), ...  all hold. Informal metaphors help ...
*
Octahedral number In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The ''n''th octahedral number O_n can be obtained by the formula:. :O_n=. The first few octahed ...
*
Timeline of calculus and mathematical analysis A timeline of calculus and mathematical analysis. 500BC to 1600 * 5th century BC - The Zeno's paradoxes, * 5th century BC - Antiphon attempts to square the circle, * 5th century BC - Democritus finds the volume of cone is 1/3 of volume of cylind ...


References


Sources


Edizione Nazionale dell'opera matematica di Francesco Maurolico
(Digital edition of the scientific works of Francesco Maurolico)]
Francesco Maurolico




* Clagett, Marshall (1988). “Archimedes”, ''Archimedes in the Middle Ages, Volume 3''. The American Philosophical Society. *Galluzzi, Paolo (1984). ''Novità celesti e crisi del sapere'', Banca toscana. * Burdick, Bruce Stanley (2009). ''Mathematical works printed in the Americas'', 1554–1700. JHU Press. * Boyer, Carl Benjamin; Merzbach, Uta C. (1991). ''A history of mathematics''. Wiley. * Burton, David M. (1999). ''The history of mathematics: an introduction''. WCB McGraw-Hill. * Scoular, Spencer (2005). ''The Unlimited Infinite: Exploring the Philosophy of Mathematics''. Universal Publishers.
"MAUROLICO, Francesco"
by Rosario Moscheo, ''Dizionario Biografico degli Italiani'', Volume 72 (2008). * Russo, Attilio (2018). “Una nuova ipotesi sul nome ‘Maurolico’ “, ''Archivio Storico Messinese'', 99, Messina 2018, 37-71. * Russo, Attilio (2001). '”La fontana del Sirio d’Orione, o delle metamorfosi”, ''Città & Territorio'', II/2001, Messina 2001, 30–41.


External links


Works
a
Open Library
{{DEFAULTSORT:Maurolico, Francesco 1494 births 1575 deaths Scientists from Messina 16th-century Italian mathematicians 16th-century Italian astronomers Mathematicians from Sicily Catholic clergy scientists Sicilian Greeks Italian people of Greek descent University of Messina faculty 16th-century Latin-language writers 16th-century Italian writers 16th-century male writers 16th-century Greek scientists 16th-century Greek mathematicians