1. References For Campanus JE Murdoch, The medieval Euclid Salient aspects of the translations of the 'Elements'by Adelard of Bath and campanus of novara, in 1970 Actes XIIe Congrès http://www-gap.dcs.st-and.ac.uk/~history/References/Campanus.html

References for Johannes Campanus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: F S Benjamin and G J Toomer, Theorica planetarum (Madison, Wis., 1970). Articles: H L L Busard, Die Traktate 'De Proportionibus' von Jordanus Nemorarius und Campanus, Centaurus A G Molland, Campanus and Eudoxus, or, trouble with texts and quantifiers, Physis - Riv. Internaz. Storia Sci. J E Murdoch, The medieval Euclid : Salient aspects of the translations of the 'Elements' by Adelard of Bath and Campanus of Novara, in (Paris, 1968), 67-94. N Swerdlow, The planetary theory of Campanus, Journal for the History of Astronomy Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1996 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Campanus.html

2. Jordanus De Nemore Jordanus de Nemore Jordanus de Nemore, along with Leonardo Fibonacci, was the dominant mathematician of the first half of the 13th century. Sometimes attributed to campanus of novara. "Preexercitamina". Known only from a reference in another of Jordanus http://www.astro.uni-bonn.de/~pbrosche/persons/bio_jordanus.html

History of Astronomy Persons Persons (J) Jordanus de Nemore Jordanus de Nemore Jordanus de Nemore, along with Leonardo Fibonacci, was the dominant mathematician of the first half of the 13th century. He is best known for his works on mechanics (statics) but he also wrote influential works on arithmetic, geometry and algebra. Little is known about Jordanus' life. His name, de Nemore (literally of the forest or Forester ) suggests he was from a wooded area. Some scholars feel Jordanus de Nemore and Jordanus of Saxony, second Grand Master of the Dominican order, are the same person. If this is so, Jordanus was born in the area of Mainz and was educated in Paris. He was elected Grand Master in 1222 and died in a shipwreck on 13 February 1237 while returning from the Holy Land. Jordanus' works are distinguished by rigorous proofs. Six works that are definitely from Jordanus and four that are possibly his. His greatest legacy was in mechanics (statics): "Elementa super demonstrationem ponderum and possibly De ratione ponderis". "Liber phylotegni de triangulus". Jordanus' major geometrical work.

3. Do Lado Direito 11. Athelhard of Bath Around 1120 A.D. This Englishman traveled to Spain and translated many works, including The Elements from Arabic into Latin. Johannes campanus of novara (late 13th Century) Chaplain to Pope Urban IV (who was Pope from 12611281). http://www.educ.fc.ul.pt/icm/icm2000/icm33/pormnum3.htm

Pormenor de «O Número» Do lado direito, equilibrando simetricamente as cinco «descobertas», encontramos os cinco sólidos platónicos e as respectivas planificações. Agora é a vez de um homem da renascença estar emoldurado por dois pentágonos. Junto dele lê-se uma citação de Campanus de Novara sobre a média e extrema razão , com a respectiva expressão matemática e, aos seus pés, a equação do número de ouro e o nome de Luca Pacioli. Um pouco mais abaixo encontra-se uma citação de Piero della Francesca, pintor e matemático renascentista que introduziu na pintura a perspectiva geométrica e escreveu o livro « De quinque corporibus regularibus /Os cinco corpos regulares

4. Campanus campanus of novara. Born 1220 in Novara, Italy Died1296 in Viterbo, Italy. Show birthplace location. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Campanus.html

Campanus of Novara Born: 1220 in Novara, Italy Died: 1296 in Viterbo, Italy Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Johannes Campanus was chaplain to Pope Urban IV and quoted by Bacon as one of the four greatest contemporary mathematicians. He published a Latin edition of Euclid 's Elements in 15 books and it was the standard Euclid for 200 years. Most of Campanus's other writings were on astronomy. He wrote Theorica Planetarum which describes the construction of a planetarium, the first to be described by a European. The work also contains detailed descriptions of the longitude of the planets as well as a geometrical description of the motion of the model. Data for the planets was taken from the Almagest and from the Toledan Tables edited by the Arabian astronomer Azarquiel in 1080 based on his own work and that of al-Khwarizmi and al-Battani . Campanus determined the time of each planet's retrograde motion and gave precise instructions on using the tables. He also made calculations in great detail of the distances to the planets and their sizes. Campanus also wrote Tractatus de Sphaera as well as De Computo Ecclesiastico and Calendarium.

5. Campanus Biography of Johannes Campanus (12201296) campanus of novara. Born 1220 in Novara, Italy. Died 1296 in Viterbo, Italy http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Campanus.html

Campanus of Novara Born: 1220 in Novara, Italy Died: 1296 in Viterbo, Italy Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Johannes Campanus was chaplain to Pope Urban IV and quoted by Bacon as one of the four greatest contemporary mathematicians. He published a Latin edition of Euclid 's Elements in 15 books and it was the standard Euclid for 200 years. Most of Campanus's other writings were on astronomy. He wrote Theorica Planetarum which describes the construction of a planetarium, the first to be described by a European. The work also contains detailed descriptions of the longitude of the planets as well as a geometrical description of the motion of the model. Data for the planets was taken from the Almagest and from the Toledan Tables edited by the Arabian astronomer Azarquiel in 1080 based on his own work and that of al-Khwarizmi and al-Battani . Campanus determined the time of each planet's retrograde motion and gave precise instructions on using the tables. He also made calculations in great detail of the distances to the planets and their sizes. Campanus also wrote Tractatus de Sphaera as well as De Computo Ecclesiastico and Calendarium.

6. MSN Learning & Research - Search Results - Novara in this Piedmont city, or review the forecast for the upcoming week. campanus of novara Biography of a Mathematician http://encarta.msn.com/teleport/fromTools/find.asp?brand=elibrary&q1=Novara

7. Museo Della Specola, Bologna - Storia Cap. 6 There then follows Euclid’s geometry, with the comment written in the XIIIth centuryby Johannes campanus of novara (XII cen.), which was read in the first http://www.bo.astro.it/dip/Museum/english/sto1_06.html

6 - The curriculum of astronomical studies in the Statute of 1405. The oldest Statutes of the that have come down to us date from 1405. They contain a detailed programme for the teaching of Astronomy which reads as follows: "During the first year of the astronomy course the Algorismi de minutis et integris (Algorithms) are read, after which the first book of Euclid’s geometry is read, with the commentary of Campanus. When this latter is read the Tabulae Alphonsinae with the Canons is read. After which the Theorica Planetarum (Planetary Theory) is read. During the second year the Tractatus de Sphera is read for first, after which the Canons for the use of the geometric tables are read. Once these are read the treatise on the astrolabe of Messehallah is read. During the third year Alcabitius is read for first, after which the Centiloquium of Ptolemy with the commentary by Haly is read. After which the third book of Geometry is read, after which the Tractatus Quadrantis (Treatise on the Quadrant) is read. During the fourth year all the Quadripartitus is read for first, after which the book De urina non visa (On urines unseen) is read. After which the third edition of the Almagest is read." The first thing to note about this programme, clearly addressed to the students of Medicine, is the coordination between the mathematics, astronomy-mathematics and astrology parts.

8. Museo Della Specola, Bologna - Storia Cap. 6 Translate this page FS Jr. Benjamin and GJ Toomer (a cura di) 1971, campanus of novara andMedieval Planetary Theory Theorica planetarum. Milwaukee and London. http://www.bo.astro.it/dip/Museum/italiano/sto1_06.html

6 - Il curriculum degli studi astronomici nello statuto del 1405. I più antichi statuti dell'Università degli Artisti a noi pervenuti risalgono al 1405. Essi contengono un programma dettagliato per l'insegnamento dell'Astronomia, il quale recita come segue: In astronomia primo anno legantur algorismi de minutis et integris, quibus lectis, legatur primus geometriae Euclidis cum commento Campani. Quo lecto, legantur tabulae Alfonsi cum canonibus. Quibus lectis legatur theorica planetarum. In secundo anno primo legatur tractatus de sphera, quo lecto legatur secundus geometriae Euclidis, quo lecto legantur canones super tabulis de linerijs. Quibus lectis, legantur tractatus astrolabij Mes[sa]chale [sic] . In tertio anno primo legatur Alkabicius, quo lecto legatur Centiloquium Ptolomei cum commento haly [sic] . Quo lecto legatur tertius geometriae, quo lecto, legatur tractatus quadrantis. In quarto anno primo legatur quadripartitus totus, quo lecto legatur liber de urina non visa. Quo lecto legatur dictio tertia almagestj La prima cosa da notare in questo programma, chiaramente indirizzato agli studenti di Medicina, è il coordinamento tra la parte matematica, quella astronomico-matematica e quella astrologica. La parte matematica inizia con gli

9. Biography-center - Letter C doctor.cfm/2170.html; campanus of novara, wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/Campanus.html;Campbell, Donald L. www http://www.biography-center.com/c.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish C 854 biographies Cabana, Robert D. www.jsc.nasa.gov/Bios/htmlbios/cabana.html Cabanel, Alexandre www.ibiblio.org/wm/paint/auth/cabanel/ Cabell, James Branch www.library.vcu.edu/jbc/speccoll/exhibit/cabell/jbcbio.html Cable, George Washington docsouth.unc.edu/cablecreole/about.html Cabot, Richard Clarke www.whonamedit.com/doctor.cfm/1906.html Cacho Ruiz, Fermin www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=67348 Cades, Giuseppe www.getty.edu/art/collections/bio/a3432-1.html Cadorna, Luigi www.spartacus.schoolnet.co.uk/FWWcadorna.htm Caesar, Julius library.thinkquest.org/17120/data/bios/users/caesar/page_1.html Caffa, Melchiore www.kfki.hu/~arthp/bio/c/caffa/biograph.html Caffey, John Patrick www.whonamedit.com/doctor.cfm/97.html Caffieri, Jacques

10. EUCLID, Geometricorum Elementorum Libri XV... This edition is the first to reproduce the competing editions of Euclid's two earlyeditors, campanus of novara (who had produced the 1482 edition from the http://www.polybiblio.com/watbooks/1894.html

'The volume is a typographical masterpiece, following the design of the Italian edition of Euclid in confining the text to a column on the left of the page, thus allowing an ample space on the right-hand side for the appropriate diagrams. The lavish use of beautiful criblé initials in various sizes adds to the striking effect of the page' (Schreiber). This edition is the first to reproduce the competing editions of Euclid's two early editors, Campanus of Novara (who had produced the 1482 edition from the Arabic) and Bartolomeo Zamberti (who produced the first edition from the Greek in 1505. 'Each theorem and proof first occurs ex Campano and is immediately followed by its mate and proof Theon ex Zamberto. The additiones due to Campanus appear in place but are appropriately set off and indicated as such' (DSB). Provenance: purchase inscription 'emptus 30 -?' in red; later inscription 'E Ratier, prêtre, ch. ? rue Perigord, Toulouse' both on title Adams E982; Schreiber 27; Renouard 18 n. 8; Thomas-Stanford 6"> W. P. Watson Antiquarian Books

11. History Of Mathematics: Europe 11701240); Alexandre de Villedieu (c. 1225); John of Halifax (Sacrobosco)(c. 1200-1256); campanus of novara (c. 1205-1296); Girard of http://aleph0.clarku.edu/~djoyce/mathhist/europe.html

Europe Web sites relevant to the History of Mathematics in Europe Joseph Dauben's hypermedia program The Art of Renaissance Science . See the Science and Engineering Television Network for mirror sites and more information. Included in the hypermedia program are discussions about Galileo and references to Brunelleschi Alberti Francesca Leonardo da Vinci , and Francis Bacon The birthplace map in Mathematical MacTutor's History of Mathematics archive See Greece for mathematicians writing in Greek, and see the general chronology for European mathematicians after 1500. Mathematicians through 1500 Marcus Terentius Varro (116-27 B.C.E.) Balbus (fl. c. 100 C.E.) Anicius Maulius Severinus Boethius (c. 480-524) Flavius Magnus Aurelius Cassiodorus (c. 490-c. 585) Bede (673-735) Alcuin of York (c. 735-804) Gerbert d'Aurillac, Pope Sylvester II (c. 945-1003) Adelard of Bath (1075-1164) John of Seville (c. 1125) Plato of Tivoli (c. 1125) Girard of Cremona (1114-1187) Robert of Chester (c. 1150) Robert Grosseteste (c. 1168-1253) Leonardo of Pisa (Fibonacci) (1170-1240) Alexandre de Villedieu (c. 1225)

12. History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories...... campanus of novara (c. 12051296) *SB; Peter of Spain (1210-1277);Jordanus de Nemore (fl. 1220-1260) *SB *MT; John of Palermo (fl. http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan Table of Contents 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) 500 B.C.E. Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

13. Rare Books quire guards. Translated by Adelhardus Bathoniensis (c.11101142).Edited by campanus of novara (d.1296). FIRST EDITION, SECOND http://www.simsreed.com/books/rarebooks/details/1.htm

EUCLID. Elementa geometria. Venice. Erhard Ratdolt. 1482 (25 May). 4to. Collation: a10 b-r8 (a1r blank, a1v Ratdolt's dedication to Giovanni Mocenigo, Doge of Venice, a2r text, r7v colophon, r8 blank). 138 leaves. 45 lines and headline. Type: 3:91G (text), 7:92G (preface and propositions), 7b:100R (headlines); 4:56G (diagrams). Heading on a2r printed in red. Woodcut 3/4 white-on-black border opening text, woodcut white-on-black initials in several sizes, type-metal geometrical diagrams in margins, ALL COLOURED BY AN EARLY HAND, Barozzi arms in woodcut border (argent a fess azure) with initials 'P.B.', arms repeated in initial on h1v. Variant readings agree with GW main entry. (First leaf partly detached, tiny paper flaw in c1 affecting 2 letters, very occasional light spotting, small stain in extreme upper margin of final 3 quires). 18th-century vellum-backed buff paper boards, 17th-century red and black leather spine labels retained, vellum quire guards. Translated by Adelhardus Bathoniensis (c.1110-1142). Edited by Campanus of Novara (d.1296). FIRST EDITION, SECOND IMPRESSION of a work which 'has exercised an influence upon the human mind greater than that of any other work except the Bible' (DSB). It retained its primacy as a basic text for more than two thousand years, thereby influencing all subsequent mathematical and scientific thought. The text printed here a recension by Campanus of Novara, based primarily on the 12th-century translation from the Arabic by the English mathematician Adelard of Bath was the most influential of the Middle Ages. Campanus's recension is notable for its additional material, such as supplementary axioms and explanations, and for his notes relating the geometry to larger philosophical problems. These additions increased the suitability of the work to the medieval university curriculum, and it became a required text in faculties of arts throughout Europe. Its rigour in the field of mathematics was not equalled until Newton in the 17th century.

14. Brooklyn Public Library /All Locations Author, Campanus, of Novara. Title, campanus of novara and medieval planetarytheory. Theorica planetarum. Edited with an introd., English http://catalog.brooklynpubliclibrary.org:90/kids/10,938/search/dPlanets./dplanet

KEYWORD AUTHOR TITLE SUBJECT Author Campanus, of Novara. Title Campanus of Novara and medieval planetary theory. Theorica planetarum. Edited with an introd., English translation, and commentary, by Francis S. Benjamin, Jr. and G. J. Toomer. Pub info Madison, University of Wisconsin Press, 1971. LOCATION CALL # STATUS Central DK Non-Fic 521.54 C LIB USE ONLY Call # 521.54 C Descript xvi, 490 p. illus. Series (Wisconsin. University. Publications in medieval science, 16) Note Text in Latin and English on opposite pages. Subject Planetary theory Early works to 1800. Science, Medieval Sources. Add author Benjamin, Francis S. (Francis Seymour), 1915- Toomer, G. J. Add title Theorica planetarum. ISBN

15. Mediev-L: Re: Trivia - A Medieval Y2Kbug? If my assumption is correct, How did campanus of novara and his colleagues justify the calculations of their invention? It http://www.ku.edu/~medieval/melcher/matthias/t128/0036.html

Re: Trivia - A Medieval Y2Kbug? Richard Kay ( skipkay@falcon.cc.ukans.edu Fri, 19 Jun 1998 23:53:08 -0500 (CDT)

16. Mediev-L: Re: Trivia - A Medieval Y2Kbug? time? If my assumption is correct, How did campanus of novara and his colleagues justify the calculations of their invention? It http://www.ku.edu/~medieval/melcher/matthias/t128/0016.html

Re: Trivia - A Medieval Y2Kbug? Giovanni Vidotto ( Vidotto@paralynx.com Fri, 19 Jun 1998 00:18:07 -0700

17. The Pythagopod By Christopher Glass For The Nexus Network Journal Vol.4 No.1 (Wi Ghyka states that the idea for linking them proportionally was mentioned bycampanus of novara 3 and developed by Johannes Kepler, who believed the http://www.nexusjournal.com/Glass.html

Abstract. In 1967 lecture at Yale Architecture School Anne Tyng discussed integrating of the five Pythagorean solids into a single shape and suggested the shape as an architectural solid. Christopher Glass aim is to sphere the cube in the manner of Buckminster Fuller, but with reference not only to the engineering models he uses but to the cultural models of the Pythagorean proportions as well. The author has developed computer models of the resulting plan at least two scales: the original glass house and a smaller hermitage pod. The Pythagopod Christopher Glass, Architect 38 Chestnut Street Camden, ME 04843-2210 USA I n the fall of 1966 or 1967 I was at the Yale School of Architecture and heard a presentation by Anne Tyng, Louis Kahn's associate, about the five Platonic solids and the ways they could be made to interrelate. The lecture has stayed with me over the years. At the time Buckminster Fuller had just built the American Pavilion at Expo 67 in Montreal, Steve Baer was working with "Zomes" at Drop City in Colorado, and, in general, traditional architecture had been under assault from Archigram and Ant Farm and other radical modernists. Kahn had designed his proposal for Philadelphia City Hall as a tetrahedral space frame. Traditional building seemed obsolete. Over the years I played with the shapes at various scales, designing a "drafting pod" module and a small meditation house - neither taken further than the drawing board. Then a Japanese magazine invited Philip Johnson to judge a contest for a new Glass House, and I used the contest as an occasion to design a one-bedroom house plan on the order of Johnson's in the module. The contest entry sank without a trace, but I have put the ideas together for this article.

18. îÏ×ÁÑ áÓÔÒÏÌÏÇÉÞÅÓËÁÑ üÎÃÉËÌÏÐÅÄÉÑ campanus of novara and Medieval Planetary Theory. Theorica planetarum./ Introduction,english translation and commentary by FS.Benjamin, Jr. and GJ.Toomer. http://encyclopedia.astrologer.ru/literatura.html

19. History Of Astronomy: Persons (C) Short biography (Encycl. Brit.). campanus of novara Campano, Giovanni(12201296) Short biography and references (MacTutor Hist. http://www.astro.uni-bonn.de/~pbrosche/persons/pers_c.html

History of Astronomy Persons History of Astronomy: Persons (C) Deutsche Fassung Cacciatore, Gaetano (1814-1889) Short biography and references (in Italian) Short biography and references (in Italian) Caccini, Tommaso (1574-1648) Biography and relation to Galileo Caesar, Julius (100? BC - 44 BC) Biography and references (Encycl. Brit.) Cahill, Daniel William (1796-1864) Short biography and references From the Catholic Encyclopedia, 1913 Cajori, Florian (1859-1930) Short biography and references (MacTutor Hist. Math.) Short biography (Encycl. Brit.) Crater Cajori (lunar feature) Callippus of Cyzicus (c. 370 BC - c. 310 BC) Short biography and references (MacTutor Hist. Math.) Very short biography (Eric Weisstein's Treasure Trove) Calvin, John (1509-1564) Biography and references (Encycl. Brit.) Short biography From the Catholic Encyclopedia, 1913 Calvin and the Astronomical Revolution , by Matthew F. Dowd Campanella, Tommaso (1568-1639[1659?]) Short biography and references (Encycl. Brit.) Biographical data and references Short biography Short biography From the Catholic Encyclopedia, 1913

20. Euclid's Geometry: Athelhard Of Bath Johannes campanus of novara (late 13th Century) Chaplain to PopeUrban IV (who was Pope from 12611281). Probably also used an http://mathforum.org/geometry/wwweuclid/athel.htm

11. Athelhard of Bath: Around 1120 A.D. This Englishman traveled to Spain and translated many works, including The Elements from Arabic into Latin. He may or may not have had a Greek version to check against; he may or may not have even known Greek. He almost certainly had access to a Latin translation which is now lost to us. We have some manuscripts that appear to be copies of his translation. Arabic words are used for some of the geometrical terms instead of Greek. The main source for his Latin version was probably in Arabic. Gerhard of Cremona (1114-1187): Wrote many works, among which a translation of The Elements is mentioned by a later writer. Scholars thought that there were no surviving copies of this translation, but now believe that an Arabic to Latin translation found in 1904 is indeed Gerhard's. Again, Arabic terms appear, and it is assumed that his main source was an Arabic version. He also translated many original Arabic works into Latin as well as Arabic translations of Greek originials. Johannes Campanus of Novara (late 13th Century): Chaplain to Pope Urban IV (who was Pope from 1261-1281). Probably also used an Arabic original, but had access to Athelhard's translation too. This is a very important translation because it was the first to be printed.

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