Johannes Müller von Königsberg (6 June 1436 – 6 July 1476
), better known as Regiomontanus (), was a
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 ...
,
astrologer
Astrology is a range of divinatory practices, recognized as pseudoscientific since the 18th century, that claim to discern information about human affairs and terrestrial events by studying the apparent positions of celestial objects. Dif ...
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 ...
of the
German Renaissance
The German Renaissance, part of the Northern Renaissance, was a cultural and artistic movement that spread among Germany, German thinkers in the 15th and 16th centuries, which developed from the Italian Renaissance. Many areas of the arts and ...
, active in
Vienna
en, Viennese
, iso_code = AT-9
, registration_plate = W
, postal_code_type = Postal code
, postal_code =
, timezone = CET
, utc_offset = +1
, timezone_DST ...
,
Buda
Buda (; german: Ofen, sh-Latn-Cyrl, separator=" / ", Budim, Будим, Czech and sk, Budín, tr, Budin) was the historic capital of the Kingdom of Hungary and since 1873 has been the western part of the Hungarian capital Budapest, on the ...
and
Nuremberg
Nuremberg ( ; german: link=no, Nürnberg ; in the local East Franconian dialect: ''Nämberch'' ) is the second-largest city of the German state of Bavaria after its capital Munich, and its 518,370 (2019) inhabitants make it the 14th-largest ...
. His contributions were instrumental in the development of
Copernican heliocentrism
Copernican heliocentrism is the astronomical model developed by Nicolaus Copernicus and published in 1543. This model positioned the Sun at the center of the Universe, motionless, with Earth and the other planets orbiting around it in circular pa ...
in the decades following his death.
Regiomontanus wrote under the Latinized name of ''Ioannes de Monteregio'' (or ''Monte Regio''; ''Regio Monte''); the toponym ''Regiomontanus'' was first used by
Philipp Melanchthon
Philip Melanchthon. (born Philipp Schwartzerdt; 16 February 1497 – 19 April 1560) was a German Lutheran reformer, collaborator with Martin Luther, the first systematic theologian of the Protestant Reformation, intellectual leader of the Lu ...
in 1534. He is named after
Königsberg
Königsberg (, ) was the historic Prussian city that is now Kaliningrad, Russia. Königsberg was founded in 1255 on the site of the ancient Old Prussian settlement ''Twangste'' by the Teutonic Knights during the Northern Crusades, and was named ...
in
Lower Franconia
Lower Franconia (german: Unterfranken) is one of seven districts of Bavaria, Germany. The districts of Lower, Middle and Upper Franconia make up the region of Franconia.
History
After the founding of the Kingdom of Bavaria the state was totally r ...
, not the larger
Königsberg
Königsberg (, ) was the historic Prussian city that is now Kaliningrad, Russia. Königsberg was founded in 1255 on the site of the ancient Old Prussian settlement ''Twangste'' by the Teutonic Knights during the Northern Crusades, and was named ...
(modern
Kaliningrad
Kaliningrad ( ; rus, Калининград, p=kəlʲɪnʲɪnˈɡrat, links=y), until 1946 known as Königsberg (; rus, Кёнигсберг, Kyonigsberg, ˈkʲɵnʲɪɡzbɛrk; rus, Короле́вец, Korolevets), is the largest city and ...
) in Prussia.
Life
![Regiomontanus-Koenigsberg](https://upload.wikimedia.org/wikipedia/commons/4/42/Regiomontanus-Koenigsberg.JPG)
Although little is known of Regiomontanus' early life, it is believed that at eleven years of age, he became a student at the
University of Leipzig
Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 Decemb ...
,
Saxony
Saxony (german: Sachsen ; Upper Saxon: ''Saggsn''; hsb, Sakska), officially the Free State of Saxony (german: Freistaat Sachsen, links=no ; Upper Saxon: ''Freischdaad Saggsn''; hsb, Swobodny stat Sakska, links=no), is a landlocked state of ...
. In 1451 he continued his studies at
Alma Mater Rudolfina, the university in
Vienna
en, Viennese
, iso_code = AT-9
, registration_plate = W
, postal_code_type = Postal code
, postal_code =
, timezone = CET
, utc_offset = +1
, timezone_DST ...
,
Austria
Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
. There he became a pupil and friend of
Georg von Peuerbach
Georg von Peuerbach (also Purbach, Peurbach; la, Purbachius; born May 30, 1423 – April 8, 1461) was an Austrian astronomer, poet, mathematician and instrument maker, best known for his streamlined presentation of Ptolemaic astronomy in the ''Th ...
. In 1452 he was awarded his
bachelor's degree
A bachelor's degree (from Middle Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six ...
(''baccalaureus''), and he was awarded his
master's degree
A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice. (''magister artium'') at the age of 21 in 1457.
It is known that he held lectures in
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 ...
and ancient literature.
In 1460 the papal legate
Basilios Bessarion
Bessarion ( el, Βησσαρίων; 2 January 1403 – 18 November 1472) was a Byzantine Greek Renaissance humanist, theologian, Catholic cardinal and one of the famed Greek scholars who contributed to the so-called great revival of letter ...
came to Vienna on a diplomatic mission. Being a humanist scholar with a great interest in the mathematical sciences, Bessarion sought out Peuerbach's company.
George of Trebizond
George of Trebizond ( el, Γεώργιος Τραπεζούντιος; 1395–1486) was a Byzantine Greek philosopher, scholar, and humanist. Life
He was born on the Greek island of Crete (then a Venetian colony known as the Kingdom of Candia), an ...
who was Bessarion's philosophical rival had recently produced a new Latin translation 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 importanc ...
's ''
Almagest
The ''Almagest'' is a 2nd-century Greek-language mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy ( ). One of the most influential scientific texts in history, it canoni ...
'' from the Greek, which Bessarion, correctly, regarded as inaccurate and badly translated, so he asked Peuerbach to produce a new one. Peuerbach's Greek was not good enough to do a translation but he knew the ''Almagest'' intimately so instead he started work on a modernised, improved abridgement of the work. Bessarion also invited Peuerbach to become part of his household and to accompany him back to Italy when his work in Vienna was finished. Peuerbach accepted the invitation on the condition that Regiomontanus could also accompany them. However Peuerbach fell ill in 1461 and died having completed only the first six books of his abridgement of the ''Almagest''. On his death bed Peuerbach made Regiomontanus promise to finish the book and publish it.
In 1461 Regiomontanus left Vienna with Bessarion and spent the next four years travelling around Northern Italy as a member of Bessarion's household, looking for and copying mathematical and astronomical manuscripts for Bessarion, who possessed the largest private library in Europe at the time. Regiomontanus also made the acquaintance of the leading Italian mathematicians of the age such as
Giovanni Bianchini
Giovanni Bianchini (in Latin, Johannes Blanchinus) (1410 – c. 1469) was a professor of mathematics and astronomy at the University of Ferrara and court astrologer of Leonello d'Este. He was an associate of Georg Purbach and Regiomontanus. ...
and
Paolo dal Pozzo Toscanelli
Paolo dal Pozzo Toscanelli (1397 – 10 May 1482) was an Italian mathematician, astronomer,, pp. 333–335 and cosmographer.
Life
Paolo dal Pozzo Toscanelli was born in Florence, the son of the physician Domenico Toscanelli. There is no ...
who had also been friends of Peuerbach during his prolonged stay in Italy more than twenty years earlier.
In 1467, he went to work for
János Vitéz
János or Janos may refer to:
* János, male Hungarian given name, a variant of John
Places
* Janos Municipality, a municipality of Chihuahua
** Janos, Chihuahua, town in Mexico
** Janos Biosphere Reserve, a nature reserve in Chihuahua
* Janos ...
, archbishop of
Esztergom
Esztergom ( ; german: Gran; la, Solva or ; sk, Ostrihom, known by alternative names) is a city with county rights in northern Hungary, northwest of the capital Budapest. It lies in Komárom-Esztergom County, on the right bank of the river Danu ...
. There he calculated extensive astronomical tables and built astronomical instruments.
Next he went to
Buda
Buda (; german: Ofen, sh-Latn-Cyrl, separator=" / ", Budim, Будим, Czech and sk, Budín, tr, Budin) was the historic capital of the Kingdom of Hungary and since 1873 has been the western part of the Hungarian capital Budapest, on the ...
, and the court of
Matthias Corvinus
Matthias Corvinus, also called Matthias I ( hu, Hunyadi Mátyás, ro, Matia/Matei Corvin, hr, Matija/Matijaš Korvin, sk, Matej Korvín, cz, Matyáš Korvín; ), was King of Hungary and Croatia from 1458 to 1490. After conducting several mi ...
of Hungary, for whom he built an astrolabe, and where he collated Greek manuscripts for a handsome salary.
The
trigonometric tables
In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables ...
that he created while living in Hungary, his ''Tabulae directionum profectionumque'' (printed
posthum., 1490), were designed for astrology, including finding astrological houses. The ''Tabulae'' also contained several
tangent tables.
In 1471 Regiomontanus moved to the Free City of
Nuremberg
Nuremberg ( ; german: link=no, Nürnberg ; in the local East Franconian dialect: ''Nämberch'' ) is the second-largest city of the German state of Bavaria after its capital Munich, and its 518,370 (2019) inhabitants make it the 14th-largest ...
, in
Franconia
Franconia (german: Franken, ; Franconian dialect: ''Franggn'' ; bar, Frankn) is a region of Germany, characterised by its culture and Franconian dialect (German: ''Fränkisch'').
The three administrative regions of Lower, Middle and Upper Fr ...
, then one of the Empire's important seats of learning, publication, commerce and art, where he worked with the humanist and merchant
Bernhard Walther.
Here he founded the world's first scientific printing press, and in 1472 he published the first printed astronomical textbook, the ''Theoricae novae Planetarum'' of his teacher Georg von Peurbach.
Regiomontanus and Bernhard Walther observed the
comet of 1472. Regiomontanus tried to estimate its distance from Earth, using the angle of parallax. According to David A. Seargeant:
The 1472 comet was visible from Christmas Day 1471 to 1 March 1472 (Julian Calendar), a total of 59 days.
In 1475, Regiomontanus was called to Rome by
Pope Sixtus IV
Pope Sixtus IV ( it, Sisto IV: 21 July 1414 – 12 August 1484), born Francesco della Rovere, was head of the Catholic Church and ruler of the Papal States from 9 August 1471 to his death in August 1484. His accomplishments as pope include ...
on to work on the planned
calendar reform
Calendar reform or calendrical reform is any significant revision of a calendar system. The term sometimes is used instead for a proposal to switch to a different calendar design.
Principles
The prime objective of a calendar is to unambigu ...
. Sixtus promised substantial rewards, including the title of
bishop of Regensburg
The Bishops of Regensburg (Ratisbon) are bishops of the Roman Catholic Diocese of Regensburg, Bavaria, Germany. , it is unlikely that he was actually appointed to the role.
On his way to Rome, stopping in Venice, he commissioned the publication of his ''Calendarium'' with
Erhard Ratdolt
Erhard Ratdolt (1442–1528) was an early German printer from Augsburg. He was active as a printer in Venice from 1476 to 1486, and afterwards in Augsburg. From 1475 to 1478 he was in partnership with two other German printers.
The first book ...
(printed in 1476). Regiomontanus reached Rome, but he died there after only a few months, in his 41st year, on 6 July 1476. According to a rumor repeated by
Gassendi in his Regiomontanus biography, he was poisoned by relatives of
George of Trebizond
George of Trebizond ( el, Γεώργιος Τραπεζούντιος; 1395–1486) was a Byzantine Greek philosopher, scholar, and humanist. Life
He was born on the Greek island of Crete (then a Venetian colony known as the Kingdom of Candia), an ...
whom he had criticized in his writing; it is however considered more likely that he died from the plague.
Work
During his time in Italy he completed Peuerbach's ''Almagest'' abridgement, ''Epytoma in almagesti Ptolemei''. In 1464, he completed ''De triangulis omnimodis'' ("On Triangles of All Kinds"). ''De triangulis omnimodis'' was one of the first textbooks presenting the current state of
trigonometry
Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. T ...
and included lists of questions for review of individual chapters. In it he wrote:
His work on
arithmetic
Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
and
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary a ...
, ''Algorithmus Demonstratus'', was among the first containing
symbolic algebra
A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The d ...
.
In 1465, he built a portable
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 ...
for
Pope Paul II
Pope Paul II ( la, Paulus II; it, Paolo II; 23 February 1417 – 26 July 1471), born Pietro Barbo, was head of the Catholic Church and ruler of the Papal States
from 30 August 1464 to his death in July 1471. When his maternal uncle Eugene IV ...
.
In ''Epytoma in almagesti Ptolemei'', he critiqued the translation of ''Almagest'' by
George of Trebizond
George of Trebizond ( el, Γεώργιος Τραπεζούντιος; 1395–1486) was a Byzantine Greek philosopher, scholar, and humanist. Life
He was born on the Greek island of Crete (then a Venetian colony known as the Kingdom of Candia), an ...
, pointing out inaccuracies. Later
Nicolaus 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 Church, Catholic cano ...
would refer to this book as an influence on his own work.
A prolific author, Regiomontanus was internationally famous in his lifetime. Despite having completed only a quarter of what he had intended to write, he left a substantial body of work.
Nicolaus 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 Church, Catholic cano ...
' teacher,
Domenico Maria Novara da Ferrara
Domenico Maria Novara (1454–1504) was an Italian scientist.
Life
Born in Ferrara, for 21 years he was professor of astronomy at the University of Bologna, and in 1500 he also lectured in mathematics at Rome. He was notable as a Platonist ast ...
, referred to Regiomontanus as having been his own teacher. There is speculation that Regiomontanus had arrived at a theory of heliocentrism before he died; a manuscript shows particular attention to the
heliocentric
Heliocentrism (also known as the Heliocentric model) is the astronomical model in which the Earth and planets revolve around the Sun at the center of the universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth at ...
theory of the
Pythagorean
Pythagorean, meaning of or pertaining to the ancient Ionian mathematician, philosopher, and music theorist Pythagoras, may refer to:
Philosophy
* Pythagoreanism, the esoteric and metaphysical beliefs purported to have been held by Pythagoras
* Ne ...
Aristarchus, mention was also given to the motion of the earth in a letter to a friend.
Much of the material on
spherical trigonometry
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are gr ...
in Regiomontanus' ''On Triangles'' was taken directly from the twelfth-century work of
Jabir ibn Aflah
Abū Muḥammad Jābir ibn Aflaḥ ( ar, أبو محمد جابر بن أفلح, la, Geber/Gebir; 1100–1150) was an Arab Muslim astronomer and mathematician from Seville, who was active in 12th century al-Andalus. His work ''Iṣlāḥ al-Ma ...
otherwise known as Geber, as noted in the sixteenth century by
Gerolamo Cardano
Gerolamo Cardano (; also Girolamo or Geronimo; french: link=no, Jérôme Cardan; la, Hieronymus Cardanus; 24 September 1501– 21 September 1576) was an Italian polymath, whose interests and proficiencies ranged through those of mathematician, ...
.
Publications
*
*
Legacy
Simon Stevin
Simon Stevin (; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. He made various contributions in many areas of science and engineering, both theoretical and practical. He also translated vario ...
, in his book describing
decimal representation
A decimal representation of a non-negative real number is its expression as a sequence of symbols consisting of decimal digits traditionally written with a single separator:
r = b_k b_\ldots b_0.a_1a_2\ldots
Here is the decimal separator, is ...
of
fraction
A fraction (from la, fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight ...
s (
De Thiende
''De Thiende'', published in 1585 in the Dutch language by Simon Stevin, is remembered for extending positional notation to the use of decimals to represent fractions. A French version, ''La Disme'', was issued the same year by Stevin.
Stevin i ...
), cites the trigonometric tables of Regiomontanus as suggestive of
positional notation
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the ...
.
E. J. Dijksterhuis
Eduard Jan Dijksterhuis (28 October 1892, in Tilburg – 18 May 1965, in De Bilt) was a Dutch historian of science.
Career
Dijksterhuis studied mathematics at the University of Groningen from 1911 to 1918. His Ph.d. thesis was entitled "A Contrib ...
(1970) ''Simon Stevin: Science in the Netherlands around 1600'', pages 17–19, Martinus Nijhoff Publishers
Brill Academic Publishers (known as E. J. Brill, Koninklijke Brill, Brill ()) is a Dutch international academic publisher founded in 1683 in Leiden, Netherlands. With offices in Leiden, Boston, Paderborn and Singapore, Brill today publishes 27 ...
, Dutch original 1943
Regiomontanus designed his own
astrological house system, which became one of the most popular systems in Europe.
In 1561,
Daniel Santbech
Daniel Santbech (fl. 1561) was a Dutch mathematician and astronomer. He adopted the Latinized name of Noviomagus, possibly suggesting that he came from the town of Nijmegen, called ''Ulpia Noviomagus Batavorum'' by the Romans.
In 1561, Santbech ...
compiled a collected edition of the works of Regiomontanus, ''De triangulis planis et sphaericis libri quinque'' (first published in 1533) and ''Compositio tabularum sinum recto'', as well as Santbech's own ''Problematum astronomicorum et geometricorum sectiones septem''. It was published in
Basel
, french: link=no, Bâlois(e), it, Basilese
, neighboring_municipalities= Allschwil (BL), Hégenheim (FR-68), Binningen (BL), Birsfelden (BL), Bottmingen (BL), Huningue (FR-68), Münchenstein (BL), Muttenz (BL), Reinach (BL), Riehen (BS ...
by
Henrich Petri and
Petrus Perna.
There is an image of him in Hartmann Schedel's 1493 ''
Nuremberg Chronicle
The ''Nuremberg Chronicle'' is an illustrated encyclopedia consisting of world historical accounts, as well as accounts told through biblical paraphrase. Subjects include human history in relation to the Bible, illustrated mythological creatures, ...
''. He is holding an astrolabe. Yet, although there are thirteen illustrations of comets in the ''Chronicle'' (from 471 to 1472), they are stylized, rather than representing the actual objects.
The crater
Regiomontanus
Johannes Müller von Königsberg (6 June 1436 – 6 July 1476), better known as Regiomontanus (), was a mathematician, astrologer and astronomer of the German Renaissance, active in Vienna, Buda and Nuremberg. His contributions were instrumental ...
on the Moon is named after him.
See also
*
List of unsolved deaths
This list of unsolved deaths includes well-known cases where:
* The cause of death could not be officially determined.
* The person's identity could not be established after they were found dead.
* The cause is known, but the manner of death (homi ...
*
Regiomontanus' angle maximization problem
Notes
References
Further reading
* Irmela Bues, ''Johannes Regiomontanus (1436–1476)''. In: ''Fränkische Lebensbilder'' 11. Neustadt/Aisch 1984, pp. 28–43
* Rudolf Mett: ''Regiomontanus. Wegbereiter des neuen Weltbildes''. Teubner / Vieweg, Stuttgart / Leipzig 1996,
* Helmuth Gericke: ''Mathematik im Abendland: Von den römischen Feldmessern bis zu Descartes''. Springer-Verlag, Berlin 1990,
* Günther Harmann (Hrsg.): ''Regiomontanus-Studien''. (= Österreichische Akademie der Wissenschaften, Philosophisch-historische Klasse, Sitzungsberichte, Bd. 364; Veröffentlichungen der Kommission für Geschichte der Mathematik, Naturwissenschaften und Medizin, volumes 28–30), Vienna 1980.
*
Samuel Eliot Morison
Samuel Eliot Morison (July 9, 1887 – May 15, 1976) was an American historian noted for his works of maritime history and American history that were both authoritative and popular. He received his Ph.D. from Harvard University in 1912, and ta ...
, ''Christopher Columbus, Mariner'', Boston, Little, Brown and Company, 1955.
* Ralf Kern: Wissenschaftliche Instrumente in ihrer Zeit/Band 1. Vom Astrolab zum mathematischen Besteck. Köln, 2010.
* , ''Regiomontano e il rinnovamento del sapere matematico e astronomico nel Quattrocento'', Cacucci, 2008 (with the critical edition of ''Oratio in praelectione Alfragani'', ''Editorial Programm'', Preface to the ''Dialogus inter Viennensem et Cracoviensem adversus Gerardi Cremonensis in planetarum theoricas deliramenta'')
*
Ernst Zinner
Ernst Zinner (2 February 1886 in Goldberg, Silesia – 30 August 1970) was a German astronomer and noted historian of astronomy. After studies in Munich and Jena he obtained his PhD in 1907 at the University of Jena, followed by stays at ...
: ''Leben und Wirken des Joh. Müller von Königsberg, genannt Regiomontanus''; Translated into English by
Ezra A. Brown as ''Regiomontanus: His Life and Work''
External links
*
*
*Adam Mosley
Regiomontanus Biography web site at the Department of History and Philosophy of Science of the University of Cambridge (1999).
Electronic facsimile-editions of the rare book collection at the Vienna Institute of Astronomy*
ttps://web.archive.org/web/20080507135500/http://www.jnul.huji.ac.il/dl/books/html/bk1262728.htm Joannes Regiomontanus: ''Calendarium'' Venedig 1485, Digitalisat
Beitrag bei „Astronomie in Nürnberg“— SICD der Universitäten von Strasbourg
*
*
*
Online Galleries, History of Science Collections, University of Oklahoma Libraries High resolution images of works by and/or portraits of Regiomontanus in .jpg and .tiff format.
Regiomontanus, Joannes, 1436-1476. Calendarium.Venice, Bernhard Maler Pictor, Erhard Ratdolt, Peter Löslein, 1476.
2leaves. woodcuts: border, diagrs. (1 movable, 1 with brass pointer) 29.6 cm. (4to). From th
Lessing J. Rosenwald Collectionin the Rare Book and Special Collections Division at the
Library of Congress
The Library of Congress (LOC) is the research library that officially serves the United States Congress and is the ''de facto'' national library of the United States. It is the oldest federal cultural institution in the country. The library is ...
Doctissimi viri et mathematicarum disciplinarum eximii professoris Ioannis de Regio Monte De triangvlis omnímodis libri qvinqveFrom the Rare Book and Special Collection Division at the
Library of Congress
The Library of Congress (LOC) is the research library that officially serves the United States Congress and is the ''de facto'' national library of the United States. It is the oldest federal cultural institution in the country. The library is ...
Regiomontanus' ''Defensio Theonis'' digital edition (scans and transcription)
{{DEFAULTSORT:Regiomontanus
1436 births
1476 deaths
15th-century apocalypticists
15th-century astrologers
15th-century German astronomers
15th-century German mathematicians
15th-century German writers
15th-century Latin writers
Catholic clergy scientists
Christian astrologers
German astrological writers
German male writers
German Roman Catholics
Medieval German astrologers
People from Königsberg, Bavaria
German scientific instrument makers
Unsolved deaths