61. MatematicaMENTE Translate this page Más tarde, griegos, hindúes y jordanus nemorarius empezaron a indicar la sumamediante yuxtaposición, y los italianos la denotaban con las letras Pop http://ar.geocities.com/matematicamente/signos2.htm

Historia de la matemática Historia de la Matemática Biografías Temas Curiosidades ... Libro de visitas Más tarde, griegos, hindúes y Jordanus Nemorarius empezaron a indicar la suma mediante yuxtaposición, y los italianos la denotaban con las letras P o p atravesadas con una raya, pero estos símbolos no eran uniformes. Algunos utilizaban la p, otros la e, y el italiano Niccoló Tartaglia solía expresar la operación como Æ. Los algebristas alemanes e ingleses introdujeron el signo +, al que denominaron signum additorum, al principoio sólo se utilizaba para indicar excedentes. Diofante utilizaba el signo ´ para indicar la sustracción. Los hindúes usaban un punto y los algebristas italianos la representaban con una M o m y con una raza atravesando la letra. Los algebristas alemanes e ingleses fueron los primeros en utilizar el signo actual al que denominaron signum subtractorum. Los signos + y - fueron usados por primera vez en 1489 por el alemán Johann Widman. William Oughtred fue el primero en usar el signo x en vez de la palabra "veces". Gottfried Wihelm Leidniz utilizaba un punto para indicar la multiplicación y , en 1637, rene Descartes empezó a usar la yuxtaposición de los factores. En 1688 Leibniz utilizó Ç para denotar la multiplicación y É para la división. Los hindúes colocaban el divisor debajo del dividendo. Leibniz usó la forma más conocida a:b.

62. A ATUALIDADE PEDAGÓGICA DA CONTROVERSIA HISTÓRICA Translate this page De acordo com o princípio de jordanus nemorarius, a mesma força seria capaz deelevar um corpo de massa m/n a uma altura nh e ao cair este corpo tornaria a http://www.coltec.ufmg.br/~ensaio/portugues/indice/v03n1/htmp03n1-04.htm

A ATUALIDADE PEDAGÓGICA DA CONTROVÉRSIA HISTÓRICA SOBRE A VERDADEIRA DEFINIÇO DA “FORÇA DE UM CORPO” Alexandre Medeiros Departamento de Física Universidade Federal Rural de Pernambuco Av. Domingos Ferreira 3190. apto 604 Boa Viagem – Recife – PE CEP: 51020-40 E-mail: med@hotlink.com.br Palavras-chave: história da ciência no ensino, conceitos físicos, força, energia cinética, momento linear RESUMO O século XVIII foi o palco para uma acirrada controvérsia a respeito da “ verdadeira ” definição da “ força de um corpo ”. A polêmica girava em torno das idéias de vis viva e de momentum , envolvendo os partidários de Leibniz e de Descartes. Embora a própria expressão “ força de um corpo ABSTRACT There was a strong dispute, in the XVIIIth century, about the “ true definition ” of force of a certain body ”. The controversy had to do with the ideas of vis viva and momentum , and involved the followers of Leibniz and Descartes. Despite the fact that the very idea of a “force of a certain body” may seem to us, nowadays, a little bit clumsy, that interpretative dispute was completely meaningful in that particular historical moment. If we consider D’Alembert’s contribution to make a distinction between the spatial and temporal evolution of force

63. The Time Of Al-razi The latter book is important because it influenced mediaeval thought through Leonardode Pisa and jordanus nemorarius (theorem of Menelaos about the triangle http://www.levity.com/alchemy/islam14.html

History of Islamic Science 3 Based on the book Introduction to the History of Science by George Sarton (provided with photos and portraits) Edited and prepared by Prof. Hamed A. Ead These pages are edited by Prof. Hamed Abdel-reheem Ead, Professor of Chemistry at the Faculty of Science -University of Cairo, Giza, Egypt and director of the Science Heritage Center E-mail: ead@frcu.eun.eg Web site: http://www.frcu.eun.eg/www/universities/html/shc/index.htm Back to Islamic Alchemy Back to reference library The Time of Al-Razi Second Half of Ninth Century The whole ninth century was essentially a Muslim century. This more clear in the second half than of the first, since all the scientific leaders were Muslims, or at any rate were working with and for Muslims and wrote in Arabic. Cultural Background Abbasid Caliph Al-Mutawakkil (847-861) continued to protect men of science, chiefly the physicians, and he encouraged the school of translators headed by Hunain ibn Ishaq. Da ud al-Zahiri founded a new school of theology, based upon a more literal interpretation of the Qur'an; however, did not survive very long. Muslim published a new collection of traditions, arranged according to legal topics, like Bukhari's, but more theoretical. The Egyptian Dhul-Nun is generally considered the founder of Sufism, that is, of Muslim mysticism.

64. Liste Alphabétique Des Mathématiciens Translate this page Jensen (Johan Ludvig Wilkim Valdemar), Danois (1859-1925). Jordan (Camille),Français (1838-1922). jordanus nemorarius, Allemand ( ? -1237). http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm

Abel (Niels Henrik) Agnesi (Maria Guetana) Italienne (1718-1799) Alembert (Jean Le Rond d') Alexander (James Waddell) Alexandroff (Pavel Sergeevich) Russe (1896-1982) Apian (Peter Benneuwitz, dit) Allemand (1495-1552) Apollonios de Perga Grec(v.~262-v.~180) Appel (Paul) Grec (~287-~212) Aristote Grec (~384-~322) Arzela (Cesare) Italien (1847-1912) Ascoli (Guilio) Italien (1843-1896) Babbage (Charles) Anglais (1792-1871) Banach (Stefan) Polonais (1892-1945) Argand (Jean Robert) Suisse (1768-1822) Barrow (Isaac) Anglais (1630-1677) Bayes (Thomas) Anglais (1702-1761) Bellavitis (Giusto) Italien (1803-1880) Beltrami (Eugenio) Italien (1835-1900) Bernays (Paul) Suisse (1888-1977) Bernoulli (Daniel) Suisse (1700-1782) Bernoulli (Jacques) Suisse (1654-1705) Bernoulli (Jean) Suisse (1667-1748) Allemand (1878-1956) Bernstein (Sergei Natanovich) Russe (1880-1968) Bertrand (Josepn) Bessel (Friedrich) Allemand (1784-1846) Birkoff (George David) Bliss (Gilbert Ames) Bochner (Salomon) Allemand (1899-1982) Bolyai (Janos) Hongrois (1802-1860) Bolzano (Bernhard) Bombelli (Raffaele) Italien (1522-1572) Bonnet (Ossian) Boole (George) Anglais (1815-1864) Bourbaki (Nicolas) Braikenridge (William) Anglais (v.1700-1762)

65. Vita The Arithmetica of jordanus nemorarius. Mathematical Reviews. GuidobaldoDal Monte and the Archimedean Revival. Mathematical Reviews. http://www5.semo.edu/ncate/vitae/vita-francis.htm

Faculty Vita Faculty: Richard L. Francis Department: Mathematics Address: MS 6700, One University Plaza, Cape Girardeau, MO Rank: Professor Phone Email: c714scm@semovm.semo.edu Educational Background Degree Date Awarded Institution Post Doc University of Missouri-Columbia Ph.D. University of Missouri-Columbia M.S. University of Missouri-Columbia B.S. Southeast Missouri State University Employment History Position Year/s Employer Responsibilities Professor Associate Professor Assistant Professor Instructor Instructor 1975-present Southeast Missouri State University Southeast Missouri State University Southeast Missouri State University University of Missouri-Columbia Kemper Military Academy Teaching, research, service Teaching, research, service Teaching, research, service Teaching, research Teaching Peer-Reviewed Scholarly Activities Books The Prime Highway Book.

66. Metimeline 1190 jordanus nemorarius gives the first mathematical proof for the law ofinclined planes. 1195 Oldest known record of a fishing reel in China. http://www.springfield.k12.il.us/schools/lanphier/projects/ENGLISH2000/english20

1066: The Norman conquest of England 1096: Start of the First Crusade The first Crusade Began on November 27, 1095, with a proclamation from Pope Urban II delivered to clergy and lay folk who had gathered in a field in Claremont, central France. His topic: an appeal for help that he had received from the Byzantine Emperor, Alexious I Comnenus. The crusading movement opened an era in which Western Europe came into direct contact with the great trade routes that united the civilizations of Eurasia of r the first time since the fall of the Roman Empire. 1105: Chinese invent multicolor money to make counterfeit money harder to produce. 1130: Construction on the Abbey Church at St. Dennis begins making it the first Gothic church with a flying buttress 1159: Chinese first develop rockets. 1190: Jordanus Nemorarius gives the first mathematical proof for the law of inclined planes 1195: Oldest known record of a fishing reel in China. 1205: Chimneys built into houses. 1206: Buckwheat grown in Europe. 1215: King John is forced to sign the Magna Carta, the basis for English law to this day. Magna Carta~~~~ the most famous document of British constitutional history, issued (1215) by King John at Runnymede under compulsion by the barons. The purpose was to insure feudal rights and to guarantee that the king could not encroach on baronial privileges. The document also guaranteed the freedom of the church and the customs of the towns; implied laws protecting the rights of subject and communities, which the king could be compelled to observe; and vaguely suggested, at least to later generations, guarantees of trial by jury and Habeas Corpus

67. OPE-MAT - Historique Translate this page Krylov, Nikolai M Jonquières, Ernest de Kleene, Stephen Kummer, Eduard Jordan,Camille Klein, Felix Kuratowski, Kazimierz jordanus nemorarius Klügel, Georg http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali B Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

68. Millennium Of Highlights: 1200's Alexander Nevski, Grand Duke of Novgorod. 1237, jordanus nemorarius, Germanscientist, d. Frederick II defeats Lombard League at Cortenuova; http://www.consultawebsurfer.com/states/history/1000_yr_history2.html

1000's 1100's 1200's 1300's 1400's 1500's 1600's ... 1900's Year 1200 - The Christian conquest of Spain was complete. Erosion of feudalism. In the Americas, the first signs of Inca culture were showing in the Cuzco Valley of Peru. Technology - development of the English longbow; invention of the wheelbarrow; spectacles and spinning wheel in common use. Refienement of distilling techniques. Minting of gold coins in Italy. Coal minining at Liége. Genghis Khan - In the first decades of the 13th century, the Mongol horsemen, united by Genghis Kahn in 1206, conquered the emire of the China tartars ot the south of their homelands, and advanced west through Mulim Asia as far as the Caucasus, thus creating th nucleus of an empire that would become, under his grandson, Kublai Kahn, larger than any the world has seen. Marco Polo (1254 - 1324) - Was a traveler who described in writing the people and places he saw. He saw things he had never dreamed ofa civilization equal to, if not beyond, his own. In China he saw people using paper money; he also saw block printing, elaborate buildings, countless ships on great rivers, huge cities with thousancs of people. For the first time he saw coal burned and he saw asbestos, which would not burn at all. YEAR HIGHLIGHTS Peace of Le Goulet between England and France Llywelyn the Great siezes Anglesey Early Gothic in England 60,000 Italain merchants live and work in Constantinople

69. Barony Of Vatavia jordanus nemorarius, a contemporary of Leonardo of Pisa, was the first to use lettersto represent numbers, but his example was not generally followed until http://www.palespyder.com/BaronyOfVatavia/Histories.asp?Page=ArticleXII

70. The Chalcedon Foundation - Faith For All Life someone by the name of Jordanus Saxo (d. 1237), a second mastergeneral of the Orderof Preachers (ie, Dominicans), founded the school of jordanus nemorarius. http://www.chalcedon.edu/report/2002dec/nickel.shtml

faith for all of life March 29, 2003 chalcedon report Marriage and Children: A Reformed look at husbands, wives and the heritage of our children (March 2003, Issue No. 450) HIGHLIGHTS An Enterprise Based Educational Method by Ronald Kirk On Marriages and Commitments by Samuel L. Blumenfeld Molech Worship and Baptism by Rev. R. J. Rushdoony Wedding Vows by Rev. Mark Rushdoony Get the rest of the March Report Chalcedon Report back issues Chalcedon web articles Don't miss an issue: Get Your Free Subscription to the Chalcedon Report Chalcedon Newsletter Sign up for the Chalcedon Newsletter: Chalcedon Sermons Listen to Mark Rushdoony and R.J. Rushdoony on SermonAudio.com. New sermons are added weekly. Chalcedon Book Previews The Word of Flux by R.J. Rushdoony Genesis, Commentaries on the Pentateuch, Volume I by R.J. Rushdoony FOCus on Dominion Contest Essay contest on the personal application of the Dominion Mandate open to persons 16 - 19 years old. RJ Rushdoony Service Awards new Nominate your worthy candidate today.

71. BSHM: Abstracts -- P Puig, Luis, ‘El De numeris datis de jordanus nemorarius como sistema matemáticode signos’, Mathesis 10 (1994), 4792 De numeris datis (1225) from a http://www.dcs.warwick.ac.uk/bshm/abstracts/P.html

The British Society for the History of Mathematics HOME About BSHM BSHM Council Join BSHM ... Search BSHM Abstracts A B C D ... Z These listings contain all abstracts that have appeared in BSHM Newsletters up to Newsletter 46. BSHM Abstracts - P Archive for history of exact sciences Palmieri, Paolo, ‘Re-examining Galileo’s theory of tides’, Archive for history of exact sciences Galileo’s quest for a physical proof of Copernican astronomy led him to investigate the flux and reflux of the sea as wave-like, with the geometry of the ocean basin the key to understanding the variety of phenomena. Despite the limitations of available mathematical resources he came up with a working principle of superposition of waves. Palmieri, Paolo, 'The obscurity of the equimultiples. Clavius' and Galileo's foundational studies of Euclid's theory of proportions', Archive for history of exact sciences Galileo believed that Euclid's definition of proportionality was obscure and proposed to replace it with a new definition. Clavius (1538-1612) devoted numerous sections of his massive commentary on Euclid's Elements to the study of proportions and, for different reasons, was concerned with the obscurity of Euclid's definition. Pang, Alex Soojung-Kim, ‘The social event of the season: solar eclipse expeditions and victorian culture’

72. I/j AUTHOR jordanus nemorarius TITLE Elementa arithmetica URL http//gallica.bnf.fr/scripts/ConsultationTout.exe?O=n052595SITE Gallica Bibliothèque nationale http://eee.uci.edu/~papyri/bibliography/j.html

A B C D ... Anon J AUTHOR B. J. TITLE Varia de Vita P. Gabrielis Malagrida. URL NOTES Dpr from Journal zur Kuntsgeschichte und zur allgemeinen Litterature 1788:1, pp. 41 - 54 AUTHOR Jablonski, Parl Ernst TITLE Commentatio de Diebus Aegyptiacis, in vetusto Kalendario Komano commemoratis URL http://www.bbaw.de/bibliothek/digital/struktur/01-misc/7/jpg-0600/00000420.htm SITE Akademiebibliothek NOTES Dpr from Miscellanea Berolinensia ad incrementum scientarum , vol. 7 (1743) pp. 406 - 442 AUTHOR Jablonski, Parl Ernst TITLE Conjectura in Clausulam Tabulae Bembinae, vel Isiacae, de Festo Osiridis inventi, deque die in anno Aegyptiorum Festo huic proprio URL http://www.bbaw.de/bibliothek/digital/struktur/01-misc/7/jpg-0600/00000387.htm SITE Akademiebibliothek NOTES Dpr from Miscellanea Berolinensia ad incrementum scientarum , vol. 7 (1743) pp. 373 - 406 AUTHOR Jablonski, Parl Ernst TITLE Specimen Novae interpretationis Tabulae Bembinae, vel uti communius vocatur, Isiacae URL http://www.bbaw.de/bibliothek/digital/struktur/01-misc/6/jpg-0400/00000147.htm SITE Akademiebibliothek NOTES Dpr from Miscellanea Berolinensia ad incrementum scientarum , vol. 6 (1740) pp. 139 - 149

73. THE HISTORY OF PHYSICS 1225 jordanus nemorarius, mechanics of lever and composition of motion. 1250Albertus Magnus, isolation of arsenic. 1260 Roger Bacon, empiricism. http://userweb.caloundra.net/robhill/pages/history2.htm

74. Lebensdaten Von Mathematikern Translate this page Ernest (1820 - 1901) Jordan, Marie Ennemond Camille (5.1.1838 - 22.1.1922) Jordan,Wilhelm (1844 - 1899) jordanus nemorarius (1225 - 1260) Jourdain, Philip http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

75. CSULB-COAST /All Locations Author, jordanus, nemorarius, 13th cent. Title, De numeris datis. English Latin. De numeris datis / jordanus de Nemore ; a critical http://www.coast.csulb.edu:90/kids/10,152/search/a?Jordanus, Nemorarius, 13th ce

76. Visual Codes For Games RETURN. Notation of Games Depictions of Board Games. a large woodcutof a chess game from jordanus, nemorarius, In hoc opere contenta http://www.adh.brighton.ac.uk/schoolofdesign/MA.COURSE/LVLGames.html

RETURN Notation of Games Depictions of Board Games a large woodcut of a chess game from Jordanus, Nemorarius, In hoc opere contenta... Paris, Higman and Hopyl, 1496 Damiano de Odemeira, Questo libro e da imperare giocare a scachi et de la partite Guillery and Nani, Rome 1512. The first Italian book about chess, informing on the individual pieces and on certain moves. The author discusses blindfold chess and gives detailed critiques on three individual games. Cessolis, Libro di Giuco di Scacchi, Florence, 1493/4 Jacobus de Cessolis, Game of Chess, Westminster c1483, woodcut. from Le Quatre Filz Aymon , Lyons, c1480 Honore Daumier, Parisians will never be under Police Supervision , litho., 1847, and a comment on the docility of the public the year before the Year of European Revolution, content to play draughts rather than protest. Joan Hassall Emblem for Chess, Sealskin Trousers RETURN

77. Title jordanus, nemorarius. (fl. Early thirteenth century). IordaniOpusculum de PonderositateNicolai Tartalae Studio Correctum,,,. Venetiis, 1565, First edition. http://www.kanazawa-it.ac.jp/dawn/156501.html

78. Dibner Library Incunabula 1499, Venice. J0472, jordanus, nemorarius, 13th cent, Arithmetica,1496, Paris. J-0487, Josephus, Flavius, Antiquitates Judaicae. 1499,Venice. http://www.sil.si.edu/libraries/dibinc.htm

Incunabula in the Dibner Library of the History of Science and Technology The following list gives some basic information about the 320 incunabula in the Dibner Library of the History of Science and Technology's collection. Incunabula (from the Latin word meaning, figuratively, infancy) are European books printed with movable type during the fifteenth century, that is, during the very beginnings of Western printing. Incunabula represent the formative stages of printing practice when the transition from manuscripts to modern books occurred. The works below are listed in order of their number in Frederick Richmond Goff's Incunabula in American libraries (New York, 1964). Since most of the incunabula came from the Burndy Library in 1974, Goff will not list these works as being at the Dibner Library. The British Library's Incunabula Short Title Catalog (ISTC) , available on the Research Libraries Group Eureka catalog (a subscription is required to use it), will have most of these works listed as being at the Dibner Library (location code Sm(D)L), but there are a few which are still indicated as being at the Burndy Library (code BurL) instead of at the Dibner Library. A few titles are dated after the year 1500; they are included because of earlier errors or uncertainties in their actual date of publication.

79. Brooklyn Public Library /All Locations Nehemiah. 1968 1 Jordan, Neil, 1951 17 Jordan, nemorarius, 13th cent. See jordanus, nemorarius, 13th cent. 1 Jordan, Nicole. 7 http://catalog.brooklynpubliclibrary.org:90/kids/10,33,49/search/aJordan, Owen./

KEYWORD AUTHOR TITLE SUBJECT Mark Nearby AUTHORS are: Year Entries Jordan, Nehemiah. Jordan, Neil, 1951- Jordan, Nemorarius, 13th cent. See Jordanus, Nemorarius, 13th cent. Jordan, Nicole. Jordan, Nina R. (Nina Ralston), b. 1883. Jordan, Otto, Dr. phil., Chem. ... Jordan, Paul.

80. AIM25: University College London: Peckham Manuscript Bound (perhaps from the first) with two printed works, the Arithmetica of JordanusNemorarius, edited by Jacques le Fêvre (Johannes Higman and Wolfgang Hopyl http://www.aim25.ac.uk/cgi-bin/search2?coll_id=3439&inst_id=13

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