Oronce Finé
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Oronce Fine (or Finé;
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 ...
: ''Orontius Finnaeus'' or ''Finaeus''; ; 20 December 1494 – 8 August 1555) was a French mathematician,
cartographer Cartography (; from , 'papyrus, sheet of paper, map'; and , 'write') is the study and practice of making and using maps. Combining science, aesthetics and technique, cartography builds on the premise that reality (or an imagined reality) can ...
, editor and book illustrator.


Life

Born in
Briançon Briançon (, ) is the sole Subprefectures in France, subprefecture of the Hautes-Alpes Departments of France, department in the Provence-Alpes-Côte d'Azur Regions of France, region in Southeastern France. It is the highest city in France at an a ...
, the son and grandson of physicians, he was educated in
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
(
Collège de Navarre The College of Navarre (, ) was one of the colleges of the historic University of Paris. It rivaled the University of Paris, Sorbonne and was renowned for its library. History The college was founded by Queen Joan I of Navarre in 1305, who provi ...
) and obtained a degree in medicine in 1522. Fine grew up in an academic household, and his parents' contribution to the sciences was notable in France at the time. Much of Fine's early childhood was shaped by his father's involvement and support of sciences. Fine's father in addition to being a physician was a strong student in astronomy. He had created many astronomical instruments and published a treatise which was one of the few astronomical
incunabula An incunable or incunabulum (: incunables or incunabula, respectively) is a book, pamphlet, or broadside (printing), broadside that was printed in the earliest stages of printing in Europe, up to the year 1500. The specific date is essentiall ...
of French origin. Fine's university was known as a leading center at Paris for the study of
scholastic philosophy Scholasticism was a medieval European philosophical movement or methodology that was the predominant education in Europe from about 1100 to 1700. It is known for employing logically precise analyses and reconciling classical philosophy and C ...
and
theology Theology is the study of religious belief from a Religion, religious perspective, with a focus on the nature of divinity. It is taught as an Discipline (academia), academic discipline, typically in universities and seminaries. It occupies itse ...
. There he fostered his editing ability and later printed many editions of writings from scholars. It is believed that his career ended abruptly when he was imprisoned, for reasons that are highly disputed. In 1531, he was appointed to the chair of mathematics at the Collège Royal (the present
Collège de France The (), formerly known as the or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment () in France. It is located in Paris near La Sorbonne. The has been considered to be France's most ...
), founded by
King Francis I Francis I (; ; 12 September 1494 – 31 March 1547) was King of France from 1515 until his death in 1547. He was the son of Charles, Count of Angoulême, and Louise of Savoy. He succeeded his first cousin once removed and father-in-law Louis&nbs ...
, where he taught until his death. In time, as the first chair of mathematics he had become one of the leading mathematicians of France. Arguably, one of his most significant contributions to sciences is his published compilation of the four main areas of mathematics that he named ''Protomathesis''. Fine was known by his peers to be much more than just a mathematician, though. He taught at the French College Royal as the first Royal Lecturer in mathematics, he made instruments, and oversaw Paris's printing houses. He was also influential to the lives of students, particularly
Pedro Nunes Pedro Nunes (; Latin: ''Petrus Nonius''; 1502 – 11 August 1578) was a Portuguese mathematician, cosmographer, and professor, probably from a New Christian (of Jewish origin) family.Leitão, Henrique, "Para uma biografia de Pedro Nunes: O ...
and
Petrus Ramus Petrus Ramus (; Anglicized as Peter Ramus ; 1515 – 26 August 1572) was a French humanist, logician, and educational reformer. A Protestant convert, he was a victim of the St. Bartholomew's Day massacre. Early life He was born at the village ...
as well as many others, and inspired them to continue their scholastic endeavors. Although he leaves a great legacy in regard to his published papers of mathematics, he suffered financial problems and legal issues throughout his career. He worked as an illustrator and proof reader for Paris's print houses in hopes relieving the financial strain brought on by his six children and his father's death. Unfortunately, his efforts were not enough which added to his family's poverty drastically after he died. Making the matters worse for his children, his wife died shortly after Fine's death.


Mathematics

Fine made contribution to mathematics. He was the first mathematics teacher to be a royal lecturer, and popularized mathematical teaching all over France. He was tasked with making math more transparent and to reform the curriculum that was being taught in France at the time. Fine was faced with having to incorporate practical branches of math that could be used in other areas like medicine, law, and theology. To display his new teachings and developments, he released a collection of his work through his ''Protomathesis.'' This collection included his teaching on practical math, not only traditional mathematics. The ''Protomathesis'' also incorporated both practical and theoretical teachings, which were completely new to France, and changed the way that mathematics was taught and viewed. His study and teachings of mathematics allowed him to also be prolific in a wide range of mathematical fields, including practical
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 ...
,
arithmetic Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. ...
,
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 ...
, gnomonics,
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 ...
and
instrumentalism In philosophy of science and in epistemology, instrumentalism is a methodological view that ideas are useful instruments, and that the worth of an idea is based on how effective it is in explaining and predicting natural phenomena. According to in ...
. Fine proposed several approximations to the value of pi. He gave it as (22+2/9)/7 ≈ 3.1746 in 1544. Later, he gave 47/15 ≈ 3.1333 and, in ''De rebus mathematicis'' (1556), he gave 3+11/78 ≈ 3.1410.


Astronomy and geography

In 1542 Fine published the astronomy textbook ''De mundi sphaera'' (''On the Heavenly Spheres''), which included
woodcut Woodcut is a relief printing technique in printmaking. An artist carves an image into the surface of a block of wood—typically with gouges—leaving the printing parts level with the surface while removing the non-printing parts. Areas that ...
illustrations. His writing on astronomy included guides to the use of astronomical equipment and methods (e.g. the ancient practice of determining
longitude Longitude (, ) is a geographic coordinate that specifies the east- west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek lett ...
through the coordinated observation of lunar
eclipse An eclipse is an astronomical event which occurs when an astronomical object or spacecraft is temporarily obscured, by passing into the shadow of another body or by having another body pass between it and the viewer. This alignment of three ...
s from two fixed points with enough distance between them to make the phenomena appear at different times of the night). He also described more recent innovations, such as an instrument he called a ''méthéoroscope'' (an
astrolabe An astrolabe (; ; ) is an astronomy, astronomical list of astronomical instruments, instrument dating to ancient times. It serves as a star chart and Model#Physical model, physical model of the visible celestial sphere, half-dome of the sky. It ...
modified by adding a
compass A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with No ...
). Explanatory work was complemented by direct contributions. His woodcut map of France (1525) is one of the first of its kind. He constructed an
ivory Ivory is a hard, white material from the tusks (traditionally from elephants) and Tooth, teeth of animals, that consists mainly of dentine, one of the physical structures of teeth and tusks. The chemical structure of the teeth and tusks of mamm ...
sundial A sundial is a horology, horological device that tells the time of day (referred to as civil time in modern usage) when direct sunlight shines by the position of the Sun, apparent position of the Sun in the sky. In the narrowest sense of the ...
in 1524, which still exists. Fine's heart-shaped (cordiform)
map projection In cartography, a map projection is any of a broad set of Transformation (function) , transformations employed to represent the curved two-dimensional Surface (mathematics), surface of a globe on a Plane (mathematics), plane. In a map projection, ...
of 1531 was frequently employed by other cartographers, including
Peter Apian Petrus Apianus (April 16, 1495 – April 21, 1552), also known as Peter Apian, Peter Bennewitz, and Peter Bienewitz, was a German Humanism, humanist, known for his works in mathematics, astronomy and cartography. His work on "cosmography", the fie ...
and
Gerardus Mercator Gerardus Mercator (; 5 March 1512 – 2 December 1594) was a Flemish people, Flemish geographer, cosmographer and Cartography, cartographer. He is most renowned for creating the Mercator 1569 world map, 1569 world map based on a new Mercator pr ...
. The map bore a dedicatory inscription that said:
Oronce Fine of the Dauphiny to the Reader: We offer to you, Dear Reader, a representation of the entire world according to the views of modern Geographers and Hydrographers, preserving the proportion of the centre to both the Equator and the latitudes, laid out on a plane in the form of a double human heart; of which the left comprises the northern part and the right the Southern part of the World. Therefore, receive this small gift kindly; and thank Christian Wechel, by whose good will and at whose expense I have shared it with you. Farewell, July, 1531.
Fine attempted to reconcile discoveries in the
New World The term "New World" is used to describe the majority of lands of Earth's Western Hemisphere, particularly the Americas, and sometimes Oceania."America." ''The Oxford Companion to the English Language'' (). McArthur, Tom, ed., 1992. New York: ...
with old medieval legends and information (derived from
Ptolemy Claudius Ptolemy (; , ; ; – 160s/170s AD) was a Greco-Roman mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine science, Byzant ...
) regarding the Orient. Thus, on one of his two world maps, ''Nova Universi Orbis Descriptio'' (1531), the legend marked ''Asia'' covers both North America and Asia, which were represented as one landmass. He used the
toponym Toponymy, toponymics, or toponomastics is the study of ''wikt:toponym, toponyms'' (proper names of places, also known as place names and geographic names), including their origins, meanings, usage, and types. ''Toponym'' is the general term for ...
"America" for South America, and thus
Marco Polo Marco Polo (; ; ; 8 January 1324) was a Republic of Venice, Venetian merchant, explorer and writer who travelled through Asia along the Silk Road between 1271 and 1295. His travels are recorded in ''The Travels of Marco Polo'' (also known a ...
's '' Mangi'', ''
Tangut Tangut may refer to: *Tangut people, an ancient ethnic group in Northwest China *Tangut language, the extinct language spoken by the Tangut people *Tangut script, the writing system used to write the Tangut language *Tangut (Unicode block) *Wester ...
'' and '' Catay'' appear on the shores of the present-day
Gulf of Mexico The Gulf of Mexico () is an oceanic basin and a marginal sea of the Atlantic Ocean, mostly surrounded by the North American continent. It is bounded on the northeast, north, and northwest by the Gulf Coast of the United States; on the southw ...
. On the same map, Fine drew ''
Terra Australis (Latin for ) was a hypothetical continent first posited in antiquity and which appeared on maps between the 15th and 18th centuries. Its existence was not based on any survey or direct observation, but rather on the idea that continental l ...
'' to the south, including the legend "recently discovered but not yet completely explored", by which he meant the discovery of
Tierra del Fuego Tierra del Fuego (, ; Spanish for "Land of Fire", rarely also Fireland in English) is an archipelago off the southernmost tip of the South America, South American mainland, across the Strait of Magellan. The archipelago consists of the main is ...
by
Ferdinand Magellan Ferdinand Magellan ( – 27 April 1521) was a Portuguese explorer best known for having planned and led the 1519–22 Spanish expedition to the East Indies. During this expedition, he also discovered the Strait of Magellan, allowing his fl ...
. Fine's cosmography was derived from the German mathematician and cosmographer Johannes Schöner. In his study of Schöner's globes, Franz von Wieser found that the derivation of Fine's ''
mappemonde A ''mappa mundi'' (Latin ; plural = ''mappae mundi''; ; ) is any medieval European map of the world. Such maps range in size and complexity from simple schematic maps or less across to elaborate wall maps, the largest of which to survive to m ...
'' from them was "unmistakeable (''unverkennbar'')"; he said "Orontius Finaeus took from Schöner not only the ''Brasilie Regio'', but the whole Austral Continent, the
Strait of Magellan The Strait of Magellan (), also called the Straits of Magellan, is a navigable sea route in southern Chile separating mainland South America to the north and the Tierra del Fuego archipelago to the south. Considered the most important natura ...
, and above all the whole arrangement of lands; in a word, the ''mappemonde'' of Oronce Fine is a copy of Schöner's". Lucien Gallois also noted the undeniable ''ressemblance parfaite'' between Finé's 1531 ''mappemonde'' and Schöner's globe of 1533. As Schöner's globe of 1523, which also closely resembled Fine's ''mappemonde'', was not identified until 1925 by Frederik (F.C.) Wieder, Gallois was forced to argue that Fine, who said he had been working on his ''mappemonde'' since 1521, had had direct or indirect personal communication with Schöner or had drawn upon his 1515 ''Luculentissima descriptio''. Wieder's identification of Schöner's map globe of 1523 strengthens Gallois' case for Fine's reliance upon Schöner. Fine's 1536 world map bore a dedicatory inscription in the lower left corner, which stated:
ABOUT FIFTEEN years since, Dear Reader, we first designed, in the shape of a human heart, this universal map of the world, in gratitude to the Most Christian and Most Mighty Francis, King of the French, our most clement Maecenas. For while we saw it pleased the King, a Polymath, and uncommon Geographer, and was praised by many, even in foreign countries, I wanted finally to communicate the same description of the whole globe to all students of Mathematics: which, after variations in fortune and crises in the studies we pursued, which up to now have been a hindrance to us, we have finally done at our own risk. And so, augmented and corrected by many observations of modern hydrographers, the same heart-shaped geographical image we present to yourself, devoted reader and to all men of goodwill of a wise and liberal mind. It remains, therefore, that you will not refuse to accept this labour and industry of ours which has a human appearance, and consult it fairly and well. Finally, while we strive ever more earnestly for the favour and generosity of our Most Christian and magnificent King, whose happiness and success you eagerly desire, we have shared this with you. Farewell, from Paris.
The same map bore another inscription in the lower right corner, which explained how to use the map to accurately measure the distances between places shown on it:
From the description of the world in this map, for any two locations of which the longitudes and latitudes are given (but not exceeding ninety degrees), close to the true direct distance between them can be calculated. Having thus reckoned the longitudes and latitudes of the places, their places in the chart being selected at the same time, place one foot of the compasses over the other places, and extend the other over the rest. Then the compasses trace an invariant straight line, which divides the figure equally, and the degrees are distributed between them; and you will observe how many degrees the compasses take in. If you multiply these by 62 miles, or 31 French leagues, or 20 common ones, by a tenth or more, that way, you will obtain the distances of any of these places.


Death and legacy

Fine died in Paris at age 60.
Jean Clouet Jean (or Janet or Jehannot) Clouet (c. 1485 – 1540/1) was a Painting, painter, draughtsman and Portrait miniature, miniaturist from the Burgundian Netherlands whose known active work period took place in France. He was court painter to French ki ...
is said to have painted a portrait of Fine in 1530, when Fine was 36. With the original painting lost, the rendering is now known only through prints derived from the original image. In the famous engraving Fool's Cap Map of the World, the name Orontius Fineus is inscribed in one corner, which is thought to be a Latinized form of Oronce Finé. The artist of Fool's Cap is unknown, but because it was published between 1580 and 1590, long after Finé's death, the inscription is not thought to represent him as the artist but rather the subject of the work's ridicule.


Honours

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 wo ...
Orontius and
Finaeus Cove Finaeus Cove (, ‘Zaliv Finaeus’ \'za-liv fi-'ney\) is the 3.8 km wide cove indenting for 2.8 km the northeast coast of Magnier Peninsula, Graham Coast on the Antarctic Peninsula. It is part of Leroux Bay, entered southeast of Vartop ...
in
Antarctica Antarctica () is Earth's southernmost and least-populated continent. Situated almost entirely south of the Antarctic Circle and surrounded by the Southern Ocean (also known as the Antarctic Ocean), it contains the geographic South Pole. ...
are named after Oronce Fine, using his Latinized name. In May 2016, a square named after Oronce Fine was inaugurated in Paris, France, opposite the École Normale Supérieure, behind the Pantheon.''Bulletin de la Société d'études des Hautes-Alpes,'' Mai 26, 2016.


References


Further reading

* * *


External links


Mathematicians: Fine
*Monique Pelletier, "The Cordiform World Maps by Oronce Fine," ''Cartographica Helvetica'' 12 (1995) 27–37



{{DEFAULTSORT:Fine, Oronce 1494 births 1555 deaths People from Briançon University of Paris alumni Academic staff of the Collège de France 16th-century French astronomers 16th-century French mathematicians 16th-century French cartographers