Francesco Maurolico (
Latin
Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
: ''Franciscus Maurolycus'';
Italian
Italian(s) may refer to:
* Anything of, from, or related to the people of Italy over the centuries
** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom
** Italian language, a Romance languag ...
: ''Francesco Maurolico''; ;
Sicilian: ''Francescu Maurolicu''; 16 September 1494 – 22 July 1575) was an Italian mathematician and astronomer from the
Kingdom of Sicily
The Kingdom of Sicily (; ; ) was a state that existed in Sicily and the southern Italian peninsula, Italian Peninsula as well as, for a time, in Kingdom of Africa, Northern Africa, from its founding by Roger II of Sicily in 1130 until 1816. It was ...
. He made contributions to the fields of
geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
,
optics
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of optical instruments, instruments that use or Photodetector, detect it. Optics usually describes t ...
,
conic
A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, thou ...
s,
mechanics
Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
,
music
Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all hum ...
, and
astronomy
Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
. He edited the works of classical authors including
Archimedes
Archimedes of Syracuse ( ; ) was an Ancient Greece, Ancient Greek Greek mathematics, mathematician, physicist, engineer, astronomer, and Invention, inventor from the ancient city of Syracuse, Sicily, Syracuse in History of Greek and Hellenis ...
,
Apollonius
Apollonius () is a masculine given name which may refer to:
People Ancient world Artists
* Apollonius of Athens (sculptor) (fl. 1st century BC)
* Apollonius of Tralles (fl. 2nd century BC), sculptor
* Apollonius (satyr sculptor)
* Apo ...
,
Autolycus
In Greek mythology, Autolycus (; ) was a robber who had the power to metamorphose or make invisible the things he stole. He had his residence on Mount Parnassus and was renowned among men for his cunning and oaths.
Family
There are a number of d ...
,
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.
Statist ...
.
Life
Francesco was born in
Messina
Messina ( , ; ; ; ) is a harbour city and the capital city, 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 216,918 inhabitants ...
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
Constantinople (#Names of Constantinople, see other names) was a historical city located on the Bosporus that served as the capital of the Roman Empire, Roman, Byzantine Empire, Byzantine, Latin Empire, Latin, and Ottoman Empire, Ottoman empire ...
when the Ottomans invaded the city. Antonio had studied with the Neoplatonic Hellenist
Constantine Lascaris
Constantine Lascaris ( ''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, born in Constantinople.
Life
Constantine Lasca ...
, 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 is one of the Twelve Olympians, Olympian deities in Ancient Greek religion, ancient Greek and Ancient Roman religion, Roman religion and Greek mythology, Greek and Roman mythology. Apollo has been recognized as a god of archery, mu ...
") 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 head of an independent monastery for men in various Western Christian traditions. The name is derived from ''abba'', the Aramaic form of the Hebrew ''ab'', and means "father". The female equivale ...
of the monastery of Santa Maria del Parto (in
Castelbuono
Castelbuono ( Sicilian: ''Casteḍḍu-bonu'' or, locally, ''Castiḍḍubbuonu'') is a town and ''comune'' in the Metropolitan City of Palermo, Sicily (southern Italy).
It is known for the castle from which its name derives, around which the ci ...
) in 1550 by
Simone Ventimiglia marquis of
Geraci, pupil and patron of Maurolico.
He died in Messina 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 brightest star in the night sky. Its name is derived from the Greek word (Latin script: ), meaning 'glowing' or 'scorching'. The star is designated Canis Majoris, Latinized to Alpha Canis Majoris, and abbr ...
.
Work
In 1535, Maurolico collaborated with the painter
Polidoro da Caravaggio
Polidoro Caldara, usually known as Polidoro da Caravaggio ( – 1543), was an Italians, 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- ...
in designing triumphal arches (composing the Latin inscriptions for this ''apparato'') for the entry into the city of
Messina
Messina ( , ; ; ; ) is a harbour city and the capital city, 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 216,918 inhabitants ...
by Holy Roman Emperor
Charles V Charles V may refer to:
Kings and Emperors
* 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
Others
* Charles V, Duke ...
. Like his father, he also became head of the Messina
mint
Mint or The Mint may refer to:
Plants
* Lamiaceae, the mint family
** ''Mentha'', the genus of plants commonly known as "mint"
Coins and collectibles
* Mint (facility), a facility for manufacturing coins
* Mint condition, a state of like-new ...
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, and had the patronage of many rich and powerful men. He also corresponded with scholars such as
Clavius
Christopher Clavius, (25 March 1538 – 6 February 1612) was a Jesuit German mathematician, head of mathematicians at the , and astronomer who was a member of the Vatican commission that accepted the proposed calendar invented by Aloysius ...
and
Federico Commandino
Federico Commandino (1509 – 5 September 1575) was an Italian humanism, humanist and mathematician.
Born in Urbino, he studied at Padua and then at Ferrara, where he received his doctorate in medicine under Antonio Musa Brassavola. He had numer ...
.
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 (: supernovae or supernovas) is a powerful and luminous explosion of a star. A supernova occurs during the last stellar evolution, evolutionary stages of a massive star, or when a white dwarf is triggered into runaway nuclear fusion ...
that appeared in
Cassiopeia
Cassiopeia or Cassiopea may refer to:
Greek mythology
* Cassiopeia (mother of Andromeda), queen of Aethiopia and mother of Andromeda
* Cassiopeia (wife of Phoenix), wife of Phoenix, king of Phoenicia
* Cassiopeia, wife of Epaphus, king of Egy ...
in 1572.
Tycho Brahe
Tycho Brahe ( ; ; born Tyge Ottesen Brahe, ; 14 December 154624 October 1601), generally called Tycho for short, was a Danish astronomer of the Renaissance, known for his comprehensive and unprecedentedly accurate astronomical observations. He ...
published details of his observations in 1574; the supernova is now known as
Tycho's Supernova
SN 1572 ('' Tycho's Star'', ''Tycho's Nova'', ''Tycho's Supernova''), 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 ea ...
.
In 1569, he was appointed professor at the
University of Messina
The University of 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's first Jesuit college, and today it ...
.
Legacy
The lunar crater
Maurolycus is named after him.
There is a school in
Messina
Messina ( , ; ; ; ) is a harbour city and the capital city, 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 216,918 inhabitants ...
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).
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 transmission medium, 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 commo ...
of light and attempted to explain the natural phenomenon of the
rainbow
A rainbow is an optical phenomenon caused by refraction, internal reflection and dispersion of light in water droplets resulting in a continuous spectrum of light appearing in the sky. The rainbow takes the form of a multicoloured circular ...
. He also studied the
camera obscura
A camera obscura (; ) is the natural phenomenon in which the rays of light passing through a aperture, small hole into a dark space form an image where they strike a surface, resulting in an inverted (upside down) and reversed (left to right) ...
. ''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 ...
for the
Platonic solid
In geometry, a Platonic solid is a Convex polytope, convex, regular polyhedron in three-dimensional space, three-dimensional Euclidean space. Being a regular polyhedron means that the face (geometry), faces are congruence (geometry), congruent (id ...
s, long before
Leonhard Euler
Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential ...
formulated it more generally for
convex polyhedra
In geometry, a polyhedron (: polyhedra or polyhedrons; ) is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. The term "polyhedron" may refer either to a solid figure or to its boundary surfa ...
in 1752.
* His ''Arithmeticorum libri duo'' (1575) includes the first known proof by
mathematical induction
Mathematical induction is a method for mathematical proof, 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), \dots all hold. This is done by first proving a ...
.
* His ''De momentis aequalibus ''(completed in 1548, but first published only in 1685) attempted to calculate the
center of gravity
In physics, the center of mass of a distribution of mass in space (sometimes referred to as the barycenter or balance point) is the unique point at any given time where the weighted relative position of the distributed mass sums to zero. For ...
of various bodies (
pyramid
A pyramid () is a structure whose visible surfaces are triangular in broad outline and converge toward the top, making the appearance roughly a pyramid in the geometric sense. The base of a pyramid can be of any polygon shape, such as trian ...
,
paraboloid
In geometry, a paraboloid is a quadric surface that has exactly one axial symmetry, axis of symmetry and no central symmetry, center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar p ...
, etc.).
* In his ''Sicanicarum rerum compendium'', he presented the history of
Sicily
Sicily (Italian language, Italian and ), officially the Sicilian Region (), is an island in the central Mediterranean Sea, south of the Italian Peninsula in continental Europe and is one of the 20 regions of Italy, regions of Italy. With 4. ...
, 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 (19 February 1473 – 24 May 1543) was a Renaissance polymath who formulated a mathematical model, model of Celestial spheres#Renaissance, the universe that placed heliocentrism, the Sun rather than Earth at its cen ...
'
heliocentrism
Heliocentrism (also known as the heliocentric model) is a superseded astronomical model in which the Earth and planets orbit around the Sun at the center of the universe. Historically, heliocentrism was opposed to geocentrism, which placed t ...
, 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
Jean Picard (21 July 1620 – 12 July 1682) was a French astronomer and priest born in La Flèche, where he studied at the Jesuit Collège Royal Henry-Le-Grand.
He is principally notable for his accurate measure of the size of the Earth, ...
in measuring length of
meridian arc
In geodesy and navigation, a meridian arc is the curve (geometry), curve between two points near the Earth's surface having the same longitude. The term may refer either to a arc (geometry), segment of the meridian (geography), meridian, or to its ...
in 1670.
* Maurolico published an edition of
Aristotle's ''
Mechanics
Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
'', 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 ( ; 2nd–1st century BC) was a Hellenistic astronomer and mathematician from Bithynia who wrote the '' Spherics'', a treatise about spherical geometry, as well as several other books on mathematics and astronomy, of which tw ...
,
Menelaus of Alexandria,
Autolycus of Pitane
Autolycus of Pitane (; c. 360 – c. 290 BC) was a Greek astronomer, mathematician, and geographer. He is known today for his two surviving works ''On the Moving Sphere'' and ''On Risings and Settings'', both about spherical geometry.
Life
Auto ...
,
Euclid
Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely domina ...
,
Apollonius of Perga
Apollonius of Perga ( ; ) was an ancient Greek geometer and astronomer known for his work on conic sections. Beginning from the earlier contributions of Euclid and Archimedes on the topic, he brought them to the state prior to the invention o ...
and
Archimedes
Archimedes of Syracuse ( ; ) was an Ancient Greece, Ancient Greek Greek mathematics, mathematician, physicist, engineer, astronomer, and Invention, inventor from the ancient city of Syracuse, Sicily, Syracuse in History of Greek and Hellenis ...
. He did not make new translations, but working on the existing ones, he provided new and sound interpretations of Greek mathematics.
Publications
*
*
*
See also
*
Camera obscura
A camera obscura (; ) is the natural phenomenon in which the rays of light passing through a aperture, small hole into a dark space form an image where they strike a surface, resulting in an inverted (upside down) and reversed (left to right) ...
*
Center of mass
In physics, the center of mass of a distribution of mass in space (sometimes referred to as the barycenter or balance point) is the unique point at any given time where the weight function, weighted relative position (vector), position of the d ...
*
Commandino's theorem
*
Descartes on Polyhedra
*
List of Roman Catholic scientist-clerics
A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, but ...
*
Greek scholars in the Renaissance
The migration waves of Byzantine Greeks, Byzantine Greek scholars and émigrés in the period following the fall of Constantinople, end of the Byzantine Empire in 1453 are considered by many scholars key to the revival of Classics, Greek stu ...
*
Mathematical induction
Mathematical induction is a method for mathematical proof, 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), \dots all hold. This is done by first proving a ...
*
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 th octahedral number O_n can be obtained by the formula:.
:O_n=.
The first few octahedral ...
*
Timeline of calculus and mathematical analysis
References
Sources
Edizione Nazionale dell'opera matematica di Francesco MaurolicoDigital 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
Worksa
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
Academic staff of the University of Messina
16th-century writers in Latin
16th-century Italian writers
16th-century Italian male writers
16th-century Greek scientists
16th-century Greek mathematicians
16th-century Greek physicists