1. CATHOLIC ENCYCLOPEDIA: Jordanus De Nemore Visit the New Advent website for the Summa Theologica, Church Fathers, Catholic Encyclopedia and more. Since then, the identity of Jordanus Saxo with jordanus nemorarius has been accepted by a great many authors; it seems http://www.newadvent.org/cathen/10740b.htm

Home Encyclopedia Summa Fathers ... N > Jordanus (Jordanis) de Nemore A B C D ... Z Jordanus (Jordanis) de Nemore The name given in MSS. of the thirteenth and fourteenth centuries to a mathematician who in the Renaissance period was called Jordanus Nemorarius. A number of his works are extant, but nothing is known of his life. It is customary to place him early in the thirteenth century. Emile Chasles, the geometrician, concluded from a study of the "Algorismus Jordani" that its author lived not later than the twelfth century. In the fourteenth century the English Dominican Nicolas Triveth, in a chronicle of his order, attributed the "De ponderibus Jordani" and the "De lineis datis Jordani" to Jordanus Saxo, who, in 1222, succeeded St. Dominic as master general of the Friars Preachers. Since then, the identity of Jordanus Saxo with Jordanus Nemorarius has been accepted by a great many authors; it seems difficult to maintain this opinion, however, as the Dominican superior general never adds de Nemore to his name, and the mathematician never calls himself Saxo. The literal translation of Jordanus de Nemore Roger Bacon quotes his "De ponderibus", as well as a commentary which had been written on it at that period. Thomas Bradwardine and the logicians who succeeded him in the school of Oxford likewise make a great deal of use of the writings of Jordanus. During the Renaissance his "De ponderibus" powerfully influenced the development of the science of statics.

2. Jordanus De Nemore Jordanus de Nemore. jordanus nemorarius; Nemoratius; Le Forestier. = JordanusSaxo; Jordanus of Saxony ?. Born before 1200 (?), Borgentreich http://www.astro.uni-bonn.de/~pbrosche/persons/pers_jordanus.html

History of Astronomy Persons Persons (J) Jordanus de Nemore [Jordanus Nemorarius; Nemoratius; Le Forestier] [= Jordanus Saxo; Jordanus of Saxony ?] Born: before 1200 (?), Borgentreich (?), Germany Died: 13 February 1237 (?), at sea (near the Syrian coast) Mathematician Relation to astronomy: Wrote De plana spera , a treatise on the projection used on the planispheric astrolabe. Internal documents Biographies, bibliographies and references Short biography, bibliography and references External documents Biographies, bibliographies and references Very short biography and references (MacTutor Hist. Math.) Library of Congress entries Further links Find more about Jordanus with Alta Vista Wolfgang R. Dick . Created: 28 Jan 1998. Latest update: 20 Feb 2002

3. Annual Report of treatises from this time, ascribed to jordanus nemorarius, was transmitted in the fourteenth and fifteenth centuries http://www.mpiwg-berlin.mpg.de/Annrep95/AB95_2.HTM

Annual Report 1995 Historical epistemology in this sense requires an integration of cultural and cognitive studies of science. Methods and results of the cognitive sciences, of the structuralist tradition of psychology as well as of philosophical theories of concept development, can help to compensate for theoretical deficits in the history of science in a narrow sense, in particular when it comes to explaining thought processes. The history of science can, inversely, contribute to overcoming the limitations of theoretical approaches whose claims have not yet been systematically confronted with the results of historical research. However, such an historical epistemology would not only have to add the models and scientific means of the social and cognitive sciences to the traditional methodological arsenal of the history of science, but must also develop a theoretical coherency that goes beyond exploiting historical case studies to flesh out preconceived philosophical opinions. In order to achieve a broad historical basis for dealing with these theoretical problems and to cover at least some of the major developmental steps in the history of science, research has been inaugurated or is planned in four different areas: the emergence of formal sciences such as mathematics; the emergence of empirical sciences such as physics, chemistry, and biology; structural changes in sciences with developed disciplinary structures and integrated theoretical foundations, such as the transition from classical to modern physics; and the role of reflective thinking and second-order concepts in science.

4. Jordanus jordanus nemorarius. Born 1225 in Borgentreich (near Warburg),Germany Died 1260 in At sea. Show birthplace location. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Jordanus.html

Jordanus Nemorarius Born: 1225 in Borgentreich (near Warburg), Germany Died: 1260 in At sea Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jordanus was a contemporary of Fibonacci and was the first to correctly formulate the law of the inclined plane. He wrote several books on arithmetic, algebra, geometry and astronomy. Jordanus also used letters to replace numbers and was able to state general algebraic theorems but this early use of algebraic notation was not used by subsequent writers. In astronomy he used letters to denote the magnitudes of stars (nor unrelated to his use of letters for algebraic notation). He wrote a treatise on mathematical astronomy called Planisphaerium as well as Tractatus de Sphaera. Jordanus visited the Holy Land and, on the return journey, he lost his life at sea. Article by: J J O'Connor and E F Robertson List of References (14 books/articles) Mathematicians born in the same country Some pages from publications A page from De Numeris Datis Other references in MacTutor Chronology: 1100 to 1300 Other Web sites The Catholic Encyclopedia Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

5. Jordanus jordanus nemorarius. Born 1225 in Borgentreich (near Warburg), Germany http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Jordanus.html

Jordanus Nemorarius Born: 1225 in Borgentreich (near Warburg), Germany Died: 1260 in At sea Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Jordanus was a contemporary of Fibonacci and was the first to correctly formulate the law of the inclined plane. He wrote several books on arithmetic, algebra, geometry and astronomy. Jordanus also used letters to replace numbers and was able to state general algebraic theorems but this early use of algebraic notation was not used by subsequent writers. In astronomy he used letters to denote the magnitudes of stars (nor unrelated to his use of letters for algebraic notation). He wrote a treatise on mathematical astronomy called Planisphaerium as well as Tractatus de Sphaera. Jordanus visited the Holy Land and, on the return journey, he lost his life at sea. Article by: J J O'Connor and E F Robertson List of References (14 books/articles) Mathematicians born in the same country Some pages from publications A page from De Numeris Datis Other references in MacTutor Chronology: 1100 to 1300 Other Web sites The Catholic Encyclopedia Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index History Topics Societies, honours, etc.

6. References For Jordanus Articles HLL Busard, The Arithmetica of jordanus nemorarius, in SSDemidov et al. (eds), Amphora Festschrift for Hans Wussing http://www-gap.dcs.st-and.ac.uk/~history/References/Jordanus.html

References for Jordanus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: H L L Busard, Jordanus de Nemore, 'De elementis arithmetice artis' : A medieval treatise on number theory. Parts I, II (Stuttgart, 1991). M Clagett, Archimedes in the Middle Ages (Madison, Wis., 1964). E A Moody and M Clagett (eds.), The medieval science of weights (Scientia de ponderibus), Treatises ascribed to Euclid, Archimedes, Thabit ibn Qurra, Jordanus de Nemore, and Blasius of Parma (Madison, Wis., 1952). Articles: H L L Busard, The Arithmetica of Jordanus Nemorarius, in S S Demidov et al. (eds), Amphora : Festschrift for Hans Wussing on the occasion of his 65th birthday (Basel- Boston- Berlin, 1992), 121-132. H L L Busard, Die Traktate 'De Proportionibus' von Jordanus Nemorarius und Campanus, Centaurus J Hoyrup, Jordanus de Nemore, 13th Century Mathematical Innovator, Archive for History of Exact Science J Hoyrup, Jordanus de Nemore : a case study on 13th century mathematical innovation and failure in cultural context, Philosophica B Hughes, The arithmetical triangle of Jordanus de Nemore

7. ThinkQuest jordanus nemorarius (1225 1260). The main importance of Jordanus to this site is that he was a contemporary (one who http://library.thinkquest.org/27890/biographies4.html

We're sorry. The website you are trying to access is currently unavailable. If you are the owner or creator of this site, please feel free to contact us with any questions you may have at thinkquest_ww@oracle.com. Thank You.

8. Luis Puig Translate this page 35-48. PUIG, L. 1994. El De Numeris Datis de jordanus nemorarius comosistema matemático de signos, Mathesis, Vol. 10, págs. 47-92. http://www.uv.es/~didmat/luis/textos.htm

Paco Penades circa 1991 'Well, it's one for the money Two for the show Three to get ready Now, go, cat, go!' PUIG, L. 1994. PUIG, L. 1996. Pupils' Prompted Production of a Medieval Mathematical Sign System PUIG, L. 1997. PUIG, L. 1998. Clasificar y significar PUIG, L. 1998. PUIG, L. 1998. Poner un problema en ecuaciones . Manuscrito no publicado. PUIG, L., 2001, PUIG, L., en prensa, ' CINVESTAV

9. El De Numeris Datis De Jordanus Nemorarius Como Sistema Matemático De El libro de jordanus nemorarius De Numeris Datis es un texto precioso para examinar la http://www.uv.es/~didmat/luis/nemore98.pdf

10. References For Jordanus References for the biography of Jordanus H L L Busard, The Arithmetica of jordanus nemorarius, in S S Demidov et al. (eds), Amphora Festschrift for Hans http://www-history.mcs.st-and.ac.uk/~history/References/Jordanus.html

References for Jordanus Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: H L L Busard, Jordanus de Nemore, 'De elementis arithmetice artis' : A medieval treatise on number theory. Parts I, II (Stuttgart, 1991). M Clagett, Archimedes in the Middle Ages (Madison, Wis., 1964). E A Moody and M Clagett (eds.), The medieval science of weights (Scientia de ponderibus), Treatises ascribed to Euclid, Archimedes, Thabit ibn Qurra, Jordanus de Nemore, and Blasius of Parma (Madison, Wis., 1952). Articles: H L L Busard, The Arithmetica of Jordanus Nemorarius, in S S Demidov et al. (eds), Amphora : Festschrift for Hans Wussing on the occasion of his 65th birthday (Basel- Boston- Berlin, 1992), 121-132. H L L Busard, Die Traktate 'De Proportionibus' von Jordanus Nemorarius und Campanus, Centaurus J Hoyrup, Jordanus de Nemore, 13th Century Mathematical Innovator, Archive for History of Exact Science J Hoyrup, Jordanus de Nemore : a case study on 13th century mathematical innovation and failure in cultural context, Philosophica B Hughes, The arithmetical triangle of Jordanus de Nemore

11. History Of Astronomy: Persons (J) Math.). Jordanus de Nemore jordanus nemorarius; Nemoratius; Le Forestier= Jordanus Saxo; Jordanus of Saxony ? (? 1237 (?)); Joscelyne http://www.astro.uni-bonn.de/~pbrosche/persons/pers_j.html

History of Astronomy Persons History of Astronomy: Persons (J) Deutsche Fassung Jabir ibn Aflah [Gabir ben Aflah; Geber Hispalensis], al-Ishbili Abu Muhammad (c.1100-c.1160) Short biography, references and links (MacTutor Hist. Math.) Jabir Ibn Haiyan (?-803): see Ibn Haiyan Jacobi, Carl Gustav Jacob (1804-1851) Short biography and references (MacTutor Hist. Math.) Short biography (Eric Weisstein's Treasure Trove) Biography (23 Apr 1996: still under construction) Paper by C. G. J. Jacobi from Astronomische Nachrichten Links to WWW sources Jaeger, John Conrad (1907-1979) Biography Very short biography, references, archival sources and links Biographical data and bibliography Jansky, Karl Guthe (1905-1950) Short biography and references (Eric Weisstein's Treasure Trove) Short biography Very short biography Very short biography (Eric Weisstein's Treasure Trove) Very short biography Very short biography Jaschek, Walter (1912-1980) Jaschek and the Kuffner Observatory Jaschek und die Kuffner-Sternwarte (in German) Jastrow, Robert (b. 1925)

12. Maandoverzicht Aanwinsten WISK Jaar 2001. Signatuur WISK BU 04.55 (1). Aanwinstdatum 24JAN-02. Auteur jordanus nemorarius. Aanwinstdatum 29-JAN-02. Auteur jordanus nemorarius. http://alephuitvoer.library.uu.nl:8000/pub/aanwinst/archief/jan/WISK-WISK.htm

Maandoverzicht Aanwinsten WISK Maand: jan-2003 Vakgebiedsbibliotheek: WISK Collectie: WISK Auteur : Białynicki-Birula Andrzej Titel : Algebraic quotients Torus actions and cohomology The adjoint representation and the adjoint action A Plaats : Berlin [etc.] Jaar : Signatuur : WISK : BI 00.7 (1) Aanwinstdatum : 24-JAN-03 Auteur : Bouwman Natasja Titel : Het gebruik van wiskunde in de Islam Natasja Bouwman en Charlene Kalle met een inl. door Jan Hogendi Plaats : Utrecht Jaar : Signatuur : WISK : BO 43.1 (1) Aanwinstdatum : 24-JAN-03 Auteur : Bourbaki Nicolas pseud. van een groep wiskundigen Titel : Alg¨bre commutative [par] N. Bourbaki Plaats : Paris [etc.] Jaar : Signatuur : WISK : BOURB VIII CH 10 EX 1 Aanwinstdatum : 10-JAN-03 Titel : Invitations to geometry and topology ed. by Martin R. Bridson and Simon M. Salamon Plaats : Oxford [etc.] Jaar : Signatuur : WISK : BR 18.5 (2) Aanwinstdatum : 10-JAN-03 Titel : A history of algorithms from the pebble to the microchip Jean-Luc Chabert (ed.) [transl. of English Plaats : Berlin [etc.] Jaar : Signatuur : WISK : CH 00.05 (1)

13. Griechischer Geist Aus Basler Pressen: 2mmr: Anfang Der Schrift Von Jordanus Nem Griechischer Geist aus Basler Pressen 2mmr Anfang der Schrift von jordanus nemorarius. © 2002 UB Basel http://www.ub.unibas.ch/kadmos/gg/picpage/gg0287_009_txt.htm

Griechischer Geist aus Basler Pressen GG 0287 2mmr: Anfang der Schrift von Jordanus Nemorarius.

14. Griechischer Geist Aus Basler Pressen: 2mmr: Anfang Der Schrift Von Jordanus Nem Translate this page 2mmr Anfang der Schrift von jordanus nemorarius. © 2002 UB Basel. http://www.ub.unibas.ch/kadmos/gg/pic/gg0287_009_txt.htm

Griechischer Geist aus Basler Pressen GG 0287 2mmr: Anfang der Schrift von Jordanus Nemorarius.

15. Re: [HM] Who Introduced The Use Of Letters For Numbers? By Luis Puig On the other hand I have been told that jordanus nemorarius(?) used letters at least 250 years before Vieta what did http://mathforum.com/epigone/historia_matematica/dingpuldee/4337335124puigl@uv.e

Re: [HM] Who introduced the use of letters for numbers? by Luis Puig reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Who introduced the use of letters for numbers? Author: Luis.Puig@uv.es Date: http://www.uv.es/~didmat/luis/index.htm The Math Forum

16. GG 287 - Griechischer Geist Aus Basler Pressen Translate this page in den lateinischen Ausgaben der Geographia von Rom 1507 und 1508 als Anhang erschienen),und eine Schrift gleichen Themas des jordanus nemorarius (Le Forestier http://www.ub.unibas.ch/kadmos/gg/hi/higg0287.htm

Frank Hieronymus: Griechischer Geist aus Basler Pressen GG 287 Sphaerae atque Astrorum coelestium ratio, (GG 142) bzw. 1535 (GG 303) des Ptolemaeus ebenfalls mit dem Kommentar Theons bezeugen, die (sie ist am 1. = November 1538 bei ihm erschienen (GG 278) [GG 37] , 1541) und Urbanus (Bolzanus: 1530, 1535, dann wieder 1539). Und vom griechischen Lexikon plane er schon wieder eine neue Ausgabe (1537, dann wieder 1539, 1541). Bibliothekskatalog IDS Signatur: Bc IV 36:1 Illustrationen Titelseite mit einer Kopie der Dionysius/Cleopatra-Einfassung Hans Holbeins vom Metallschneider CV von 1524. 1ar: Widmung Jacob Zieglers an Paulus Bombasius aus Bologna, 1. Seite (re). 1av: Widmung Jacob Zieglers, 2. Seite und Beginn der Beschreibung der Sphaera solida des Archimedes. 3cv: Anfang des griechisch-lateinischen Textes der Sphaera des "Proklos" (li); Scholien (re). ... 2mmr: Anfang der Schrift von Jordanus Nemorarius.

17. TIMELINE 13th CENTURY Page Of ULTIMATE SCIENCE FICTION WEB GUIDE The three mathematically deepest Germans of the century were jordanus nemorarius(also known as Jordanus de Saxonia); Albertus Magnus (so widely learned that http://www.magicdragon.com/UltimateSF/timeline13.html

TIMELINE 13th CENTURY Return to Timeline Table of Contents Return to Ultimate SF Table of Contents TIMELINE 13th CENTURY May be posted electronically provided that it is transmitted unaltered, in its entirety, and without charge. We examine both works of fiction and important contemporaneous works on non-fiction which set the context for early Science Fiction and Fantasy. There are hotlinks here to authors, magazines, films, or television items elsewhere in the Ultimate Science Fiction Web Guide or beyond. Most recently updated: 27 May 2000 (27 expanded to 48 Kilobytes). It also utilizes facts from Volume I of D.E. Smith's "History of Mathematics" [(c) 1921 by David Eugene Smith; (c) 1951 by May Luse Smith; New York: Dover, 1958]. Arguably the best book on the century is "The Thirteenth, Greatest of Centuries" by J. J. Walsh [New York, 1907]. 13th Century: Executive Summary This Century marks the final flowering of Chivalry: Armored Knights on horseback, and the bloody Fourth through Eighth Crusades .... What are they to Science Fiction ? The best Science Fiction novel about this era is surely: * The High Crusade , by Poul Anderson [48,500 word serial in Astounding Science Fiction, July/Aug/Sep 1960; Doubleday, 1960, hardcover 192 pages, $2.95; Toronto: Doubleday/Dolphin, 1962, $0.95; Macfadden-Bartel #50-211, 1964, 160 pages, $0.50, ed. Samuel H. Post; Macfadden-Bartel #60-399, 1968, 160 pages, $0.60, ed. Samuel H. Post; Translations: French, German, Italian] An English knight captures an alien spaceship, and leads crusaders to conquer the stars. Terrible, botched film adaptation. From a

18. Matematiikan Historia; Muun Maailman Matemaatikot Translate this page Omar Khaijjam Adelard, Bhaskara Gerard Cremonalainen Leonardo Pisano (Fibonacci),Nasir Eddin al-Tusi Qin Jiushao Jang Hui jordanus nemorarius, Nicole Oresme http://solmu.math.helsinki.fi/2000/mathist/muumaa.html

Muun maailman matemaatikot Thales Pythagoras Hippokrates Hippias ... Hipparkhos -801 eKr. 800-601 eKr. 600-401 eKr. 400-201 eKr. 200-1 eKr. Heron Klaudios Ptolemaios Menelaos Diofantos ... Gerbert (paavi Sylvester II) 1-199 (jKr.) Omar Khaijjam Adelard Bhaskara Gerard Cremonalainen ... Matematiikkalehti Solmu

19. Matematiikkaa Keskiajalla jordanus nemorarius (n. 1220) käytti kirjaimia numeroiden sijasta algebrassaja tuli ensimmäisenä esittäneeksi toisen asteen yhtälön ratkaisukaavan http://solmu.math.helsinki.fi/2000/mathist/html/keskiaika/

PDF 5. Matematiikkaa keskiajalla Pappos (noin 320), jonka Matemaattinen kokoelma Hypatia Anthemius Trallesilainen (k. 534) ja Isidoros Miletolainen Justinianus 5.1 Intia Aryabhatan (noin 500 jKr.) runomuotoisesta astronomis-matemaattisesta teoksesta Aryabhatija gelosia -kertolasku ja kaleeri Gelosia-kertolaskulla ja galeoni-jakolaskulla sinifunktio Siddhanta sini , latinan sinus jya-ardha jiba jaib sinus Huomattavin varhaiskeskiajan matemaatikko oli Brahmagupta ja 3. Tunnettu Heronin kaavalle analoginen Brahmaguptan kaava nelikulmion pinta-alalle S s ax by c x Dy x Dy a ja t Du b , niin x D y xt Dyu D xu yt x Dy t Du ab . Jos x ':lla ja y Viimeinen huomattava keskiajan intialaismatemaatikko oli Bhaskara x py tapauksissa p x y ratkaisu Katso! c a ja b a b c ab a b a b 5.2 Islam Islamin perustaja profeetta Muhammed Dar al Hikmassa eli Viisauden talossa Almagest Muhammad ibn Musa Al-Khowarizmi De numero indorum arabialaiset numerot gobar Intialaisilla numeroilla laskemista ryhdyttiin Al-Khowarizmin nimen perusteella kutsumaan algorismiksi algoritmi -sanan nykymerkitys on samaa perua. Al-jabr wa'l muqabalah x x x x x x x x x algebra.

20. CSULB-COAST /All Locations see Jordanus, Nemorarius, 13th cent. 1 Jordanus, Friar, fl. 1302-1330. 1jordanus nemorarius, fl. 1230 see Jordanus, Nemorarius, 13th cent. http://www.coast.csulb.edu:90/kids/10,152/search/ajortberg charles a/ajortberg c

Keyword Author Title Subject Journal, Periodical, Newspaper (Serial) Collection Reference Collection Media Collection Government Documents Children's Collection View Entire Collection Mark Nearby Authors are: Year Entries Jorgenson, Dale Weldeau, 1933- Jorgenson, Ivar See Silverberg, Robert. Jorgenson, Jay. Jorgenson, Jorgen, b. 1780 See Jürgensen, Jørgen, b. 1780. Jorgenson, Jorgen Theodore See Jorgenson, Theodore, 1894- Jorgenson, Lloyd P. Jorgenson, Theodore, 1894- Jori, Giulio. ... Joris, David, 1501 or 2-1556. Joris, Françoise Mallet-, 1930- See Mallet-Joris, Françoise, 1930- Joris, Yvònne.

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