Francesco Barozzi (in Latin, ''Franciscus Barocius'') (9 August 1537 – 23 November 1604) was an Italian

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 ...

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, moons, comets and galaxies – in either ...

and

humanist Humanism is a philosophical stance that emphasizes the individual and social potential and agency of human beings. It considers human beings the starting point for serious moral and philosophical inquiry. The meaning of the term "human ...

Life

Barozzi was born on the island of

Crete Crete ( el, Κρήτη, translit=, Modern: , Ancient: ) is the largest and most populous of the Greek islands, the 88th largest island in the world and the fifth largest island in the Mediterranean Sea, after Sicily, Sardinia, Cyprus, ...

, at Candia (now

Heraklion Heraklion or Iraklion ( ; el, Ηράκλειο, , ) is the largest city and the administrative capital of the island of Crete and capital of Heraklion regional unit. It is the fourth largest city in Greece with a population of 211,370 (Urban Ar ...

), at the time a Venetian possession. He was the son of Iacopo Barozzi, a Venetian nobleman, and Fiordiligi Dorro. Barozzi was educated at

Padua Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the ...

, and studied mathematics at the

University of Padua The University of Padua ( it, Università degli Studi di Padova, UNIPD) is an Italian university located in the city of Padua, region of Veneto, northern Italy. The University of Padua was founded in 1222 by a group of students and teachers from ...

. The estate on Crete, inherited from his father, yielded him an income of 4,000 ducats, though he seems to have lived in Venice for most of his life. He was thus able to function as an independent scholar, and does not appear to have held any academic posts, although he did lecture on the '' De sphaera'' of

Sacrobosco Johannes de Sacrobosco, also written Ioannes de Sacro Bosco, later called John of Holywood or John of Holybush ( 1195 – 1256), was a scholar, monk, and astronomer who taught at the University of Paris. He wrote a short introduction to the Hi ...

at the University of Padua in 1559. Barozzi translated many works of the ancients, including Proclus’s edition of

Euclid's Elements The ''Elements'' ( grc, Στοιχεῖα ''Stoikheîa'') is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt 300 BC. It is a collection of definitions, postulat ...

(published in Venice in 1560), as well as mathematical works by

Hero A hero (feminine: heroine) is a real person or a main fictional character who, in the face of danger, combats adversity through feats of ingenuity, courage, or strength. Like other formerly gender-specific terms (like ''actor''), ''her ...

Pappus of Alexandria Pappus of Alexandria (; grc-gre, Πάππος ὁ Ἀλεξανδρεύς; AD) was one of the last great Greek mathematicians of antiquity known for his ''Synagoge'' (Συναγωγή) or ''Collection'' (), and for Pappus's hexagon theorem i ...

, and Archimedes.

Mathematics

Barozzi helped in the general reappraisal of the geometry of

Euclid Euclid (; grc-gre, Εὐκλείδης; 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 ...

, and corresponded with numerous mathematicians, including the German Jesuit

Christopher 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 ...

. His original works include ''Cosmographia in quatuor libros distributa summo ordine, miraque facilitate, ac brevitate ad magnam Ptolemaei mathematicam constructionem, ad universamque astrologiam institutens'' (1585), which he dedicated to the Duke of

Urbino Urbino ( ; ; Romagnol: ''Urbìn'') is a walled city in the Marche region of Italy, south-west of Pesaro, a World Heritage Site notable for a remarkable historical legacy of independent Renaissance culture, especially under the patronage of F ...

. This work concerns the cosmography and mathematical systems of

Ptolemy Claudius Ptolemy (; grc-gre, Πτολεμαῖος, ; la, Claudius Ptolemaeus; AD) was a mathematician, astronomer, astrologer, geographer, and music theorist, who wrote about a dozen scientific treatises, three of which were of importance ...

. Barozzi also discussed 13 ways of drawing a parallel line in his ''Admirandum illud geometricum problema tredecim modis demonstratum quod docet duas lineas in eodem plano designare, quae nunquam invicem coincidant, etiam si in infinitum protrahantur: et quanto longius producuntur, tanto sibiinuicem propiores euadant'' (1586). In his ''Opusculum: in quo una Oratio et due Questiones, altera de Certitude et altera de Medietate Mathematicarum continentur'', Barozzi stressed that "the certitude of mathematics is contained in the syntactic rigor of demonstrations." Barozzi dedicated this work to

Daniele Barbaro Daniele Matteo Alvise Barbaro (also Barbarus) (8 February 1514 – 13 April 1570) was an Italian cleric and diplomat. He was also an architect, writer on architecture, and translator of, and commentator on, Vitruvius. Barbaro's fame is chief ...

Other works

He also wrote ''Rythmomachia'' (1572), which he dedicated to Camille Paleotti, a Senator of

Bologna Bologna (, , ; egl, label=Emilian language, Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 1 ...

, a work that is based on the mathematical game of the same name, also known as "The Philosophers' Game." As an antiquarian, he copied many Greek inscriptions on Crete. His collection of inscriptions was later inherited by his nephew Iacopo Barozzi (1562–1617), who edited and expanded it. This collection was later acquired in 1629 by the

University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...

. They are wide-ranging in date and subject matter and can still be found in the Bodleian Library. He studies

Epistemology Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics. Epis ...

, discusses the mathematical proofs and the degree of certainty of each one, applying the principles of Aristotelian theory of demonstrative science. Insert Gnomonics among the disciplines within

Astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...

, his intent is to safeguard the autonomy of

. The Greek Nikolaos Panagiotakis, writes that he was the only one of the Venetian nobles who contributed to the Cretan Renaissance, bringing Crete on the spiritual currents of Europe.

Charges of sorcery

Barozzi was accused of being a sorcerer, a charge that he did not help refute by publishing his ''Pronostico Universale di tutto il mondo'' (

, 1566), a collection of the prophecies of

Nostradamus Michel de Nostredame (December 1503 – July 1566), usually Latinised as Nostradamus, was a French astrologer, apothecary, physician, and reputed seer, who is best known for his book '' Les Prophéties'' (published in 1555), a collection ...

for the years 1565–1570. He also published a special edition of ''Oracula Leonis'' in 1577, a collection of cryptic prophecies attributed to the Byzantine Emperor

Leo VI the Wise Leo VI, called the Wise ( gr, Λέων ὁ Σοφός, Léōn ho Sophós, 19 September 866 – 11 May 912), was Byzantine Emperor from 886 to 912. The second ruler of the Macedonian dynasty (although his parentage is unclear), he was very well ...

and dedicated to the Cretan governor, Giacomo Foscarini. Around 1583, Barozzi was tried by the

Inquisition The Inquisition was a group of institutions within the Catholic Church whose aim was to combat heresy, conducting trials of suspected heretics. Studies of the records have found that the overwhelming majority of sentences consisted of penances, ...

on an unknown charge and found guilty. In 1587, he was charged with

apostasy Apostasy (; grc-gre, ἀποστασία , 'a defection or revolt') is the formal disaffiliation from, abandonment of, or renunciation of a religion by a person. It can also be defined within the broader context of embracing an opinion that ...

heresy Heresy is any belief or theory that is strongly at variance with established beliefs or customs, in particular the accepted beliefs of a church or religious organization. The term is usually used in reference to violations of important religi ...

, and for engaging in the occult. He was accused of causing a torrential rain storm in Crete. Found guilty, he was forced to donate silver crosses at the cost of 100 ducats and received a suspended prison sentence. Barozzi as a student in college also was accused of cutting off someones hair for uses unknown, perhaps his sorcery habits.

Death and legacy

He died in

Venice Venice ( ; it, Venezia ; vec, Venesia or ) is a city in northeastern Italy and the capital of the Veneto region. It is built on a group of 118 small islands that are separated by canals and linked by over 400 bridges. The isla ...

. The

lunar crater Lunar craters are impact craters on Earth's Moon. The Moon's surface has many craters, all of which were formed by impacts. The International Astronomical Union currently recognizes 9,137 craters, of which 1,675 have been dated. History The wor ...

Barocius is named after him.

References

External links

*
The Galileo Project

Text of Barozzi's Translation of Hero

*[https://web.archive.org/web/20120324053652/http://hos.ou.edu/galleries//01Ancient/HeroOfAlexandria/1575//15thCentury/Vespucci//16thCentury/Barozzi/ Online Galleries, History of Science Collections, University of Oklahoma Libraries] High resolution images of works by and/or portraits of Francesco Barozzi in .jpg and .tiff format. {{DEFAULTSORT:Barozzi, Francesco 1537 births 1604 deaths Scientists from Heraklion 16th-century Italian astronomers 16th-century Italian mathematicians 17th-century Italian mathematicians Italian Renaissance humanists Francesco 16th-century Venetian people 17th-century Venetian people University of Padua alumni