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         Vlacq Adriaan:     more books (31)
  1. Adriani Vlacq Tabulae Sinuum, Tangentium, Et Secantium: Logarithmi Sinuum, Tangentium (1757) (Latin Edition) by Adriaan Vlacq, 2010-09-10
  2. Tabellen Der Sinuum Tangentium Und Secantium: Wie Auch Der Logarithmorum Vor Die Sinus Tangentes, Und Die Zahlen Von 1. Biss 10000: Sampt Arth Und Weise ... Sphærische Auch Viel Ander (German Edition) by Adriaan Vlacq, Henry Briggs, 2010-04-09
  3. La Trigonometrie Rectilingne Et Sphérique, Avec Les Tables Des Sinus, Tangentes Et Sécantes, Pour Un Rayon De 10000000 Parties: Bet Les Tables Des Logarithmes ... De 10000000000 Parties (French Edition) by Jacques Ozanam, Adriaan Vlacq, 2010-01-11
  4. Tables De Sinus, Tangentes, Et Secantes, Et De Logarithmes Des Sinus, Tangentes, Et Des Nombres Depuis L'unité Jusques À 10000: Avec Une Méthode De Résoudre ... & Plusieurs Ques (French Edition) by Adriaan Vlacq, Henry Briggs, 2010-04-03
  5. Tabellen Der Sinuum Tangentium Und Secantium: Wie Auch Der Logarithmorum Vor Die Sinubus Tangentibus (1673) (German Edition) by Adriaan Vlacq, 2009-08-27
  6. Tabellen Der Sinvvm, Tangentivm, Secantivm: Logarithmi Der Sinuum, Tangentium Und Der Zahlen Von 1 Bis 10000: Samt Einer Methode, Vermittelst Dieser Tabellen ... Fragen Aufzulösen (German Edition) by Adriaan Vlacq, 2010-01-12
  7. Tabulae Sinuum, Tangentium Et Secantium, Et Logarithmi Sinuum, Tangentium, & Numerorum Ab Unitate Ad 10000: Cum Methodo Facillima, Illarum Ope, Resolvendi ... Quaestiones Astronomicas (Latin Edition) by Adriaan Vlacq, 2010-03-31
  8. La Trigonometrie Rectiligne Et Spherique: Avec Les Tables Des Sinus, Tangentes Et Secantes, Pour Un Rayon De 10000000 Parties. Et Les Tables Des Logarithmes ... De 10000000000 Parties (French Edition) by Jacques Ozanam, Adriaan Vlacq, 2010-02-23
  9. Tables Des Sinus, Tangentes Et Secantes; Et De Logarithmes Des Sinus, Tangentes Et Des Nombres Depuis L'unité Jusques À 10000, Avec Une Méthode De Resoudre ... Et Plusieurs Ques (French Edition) by Adriaan Vlacq, 2010-04-21
  10. Tables de Sinus Tangentes et Secantes et de Logarithmes des Sinus Tangentes et des Nombres Depuis l'unité Jusques À 10000: Avec Une Méthode de Résoudre ... Questions Astronomiques. (French Edition) by Adriaan Vlacq, 2009-04-27
  11. La Trigonometrie Rectiligne Et Spherique: Ou Il Est Traité De La Construction Des Tables De Sinus, Tangentes, Secantes, & Logarithmes. De L'usage De Ces ... & Ces Mêmes Tables Tres-E (French Edition) by Adriaan Vlacq, 2010-03-21
  12. Tabulae Sinuum, Tangentium, Secantium et Logarithmorum Pro Sinubus, Tangentibus, et Numeris Ab Unitate Ad 10000.: Una Cum Methodo Facillimè Illarum Ope ... Aliasque Difficiliores. (Latin Edition) by Adriaan Vlacq, 2009-04-27
  13. Tabellen Der Sinvvm, Tangentivm, Und Secantivm, Wie Auch Der Logarithmorvm Für Die Sinvs Tangentes, Und Die Zahlen Von 1 Biss 10000: Sampt Art Und Weise, ... Sphärische, Auch Viel And (German Edition) by Adriaan Vlacq, Henry Briggs, 2010-04-03
  14. Tables De Sinus, Tangentes, Et Sécantes: Et De Logarithmes Des Sinvs, Tangentes, & Des Nombres Dépuis L'unité Jusques À 10000. Avec Une Méthode De Résoudre ... Sphériques, & Plusieurs Qu (French Edition) by Adriaan Vlacq, 2010-03-16

1. Vlacq
Adriaan Vlacq. Born 1600 in Gouda, Netherlands Died 1667 in The Hague, Netherlands.Show birthplace location. Adriaan Vlacq was a bookseller and publisher.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Vlacq.html
Adriaan Vlacq
Born: 1600 in Gouda, Netherlands
Died: 1667 in The Hague, Netherlands
Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
Adriaan Vlacq was a bookseller and publisher. In 1632 he settled in London and opened a bookshop. Tension between King Charles I and the House of Commons steadily increased during 1641 and after his unsuccessful attempt to arrest five members of Parliament on 4 January 1642 Charles left London on 10 January and King and Parliament prepared for war. Vlacq decided that London was not a good place to sell books with the approaching unrest so he left for Paris in 1642. A dedication in a book he published 10 years later suggests that he sympathised with the Royalist side in the Civil War. In Paris Vlacq again set up a book business. He remained there for six years before returning to The Hague where he again sold and published books. Vlacq published a table of Briggs logarithms from 1 to 100,000 to 10 decimal places in Arithmetica logarithmica in 1628.

2. U. Of Western Ontario /All Locations
Num Mark AUTHORS (12 of 2) Year vlacq adriaan 1600 1667 1 10 PlaceLogarithms Including Wolfram s Tables Of Natural Logarithms.
http://alpha.lib.uwo.ca:5701/search/a?Vlacq, Adriaan, 1600-1667.

3. Biography-center - Letter V
bio_uk.asp?PAR_I_ID=87831. van Roomen, adriaan. wwwhistory.mcs.st-and.ac.uk/~history bio/a3709-1.html. vlacq, adriaan. www-history.mcs.st-and.ac
http://www.biography-center.com/v.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
V
205 biographies

4. Science And Technology
planetary positions according to these new laws. 65. adriaan vlacq. Tables de sinus, tangentes trigonometric and logarithmic tables of adriaan vlacq (1600 ­ 1666), first published as
http://www.lib.uchicago.edu/e/spcl/excat/berlin/science.html
catalog worldcat using the library electronic resources ...
The Berlin Collection
Science and Technology
SCIENCE
AND TECHNOLOGY
Diophantos of Alexandria
Arithmeticorum libri sex,
et de numeris multangulis liber unus
Paris: Sebastian Cramoisy, 1621 The Greek mathematician, Diophantos of Alexandria, one of the greatest algebraists in history, composed his Arithmetica in the second half of the third century A.D. Only six of the original thirteen books of this earliest extant work on algebra have survived, along with his tract on polygonal numbers. Some of the problems found in the Arithmetica result in various forms of determinate equations; the majority, however, lead to indeterminate equations (hence indeterminate analysis is often termed "Diophantine analysis"). While Latin translations of Diophantos had appeared as early as 1572, the Greek text was not available until Claude-Gaspar Bachet de Meziriac issued this edition in both Greek and Latin at Paris in 1621.
Regiomontanus
Kalendarium
Augsburg: Erhard Ratdolt, 1489 Image Complete Digital Version Kalendarium

5. Famous Mathematicians With A V
Philip van Lansberge. adriaan van Roomen. Frans van Schooten Vincenzo Viviani. adriaan vlacq. Edward van Vleck. Vito Volterra
http://www.famousmathematician.com/az/mathematician_V.htm
Mathematicians - V
Giovanni Vacca
Giovanni Vailati
Patrick du Val
Luca Valerio
Howard van Amringe
Ludolph van Ceulen
David van Dantzig
Bartel van der Waerden
Hendrik van Heuraet
Philip van Lansberge
Adriaan van Roomen Frans van Schooten Edward van Vleck Alexandre Vandermonde Harry Vandiver Varahamihira Varahamihira Pierre Varignon Mikhail Vashchenko-Z Oswald Veblen Jurij von Vega Argelia Velez-Rodriguez John Venn Pierre Verhulst Pierre Vernier Giuseppe Veronese Urbain Le Verrier Ernest Vessiot François Viete Vijayanandi Gregorius Saint-Vincent Leonardo da Vinci Ivan Vinogradov Giuseppe Vitali Vincenzo Viviani Adriaan Vlacq Edward van Vleck Vito Volterra Walther von Dyck Helge von Koch Gottfried von Leibniz Carl von Lindemann Hilda Geiringer von Mises Richard von Mises John von Neumann Johann von Segner Philipp von Seidel Georg von Vega Gheorghe Vranceanu Send mail to webmaster@famousmathematician.com

6. Vlacq [Vlack, Vlaccus], Adriaan
vlacq Vlack, Vlaccus, adriaan. Note the creators of the Galileo Project and this catalogue cannot answer email on All subsequent log tables are copies of vlacq's. In 1633 he
http://es.rice.edu/ES/humsoc/Galileo/Catalog/Files/vlacq.html
Catalog of the Scientific Community
Vlacq [Vlack, Vlaccus], Adriaan
Note: the creators of the Galileo Project and this catalogue cannot answer email on genealogical questions.
1. Dates
Born: Gouda, 1600
Died: The Hague, late 1666 or early 1667
Dateinfo: Death Uncertain
Lifespan:
2. Father
Occupation: Unknown
The sources say only that he was from a well-to-do family. Nieuw Nederlandsch Biographisch Woordenboek says that the family had furnished many members to the city government.
I accept the statement that they were well-to-do.
3. Nationality
Birth: Dutch
Career: Dutch, English, French
Death: Dutch
4. Education
Schooling: No University
There is no mention of any university education.
5. Religion
Affiliation: Calvinist (assumed)
6. Scientific Disciplines
Primary: Mathematics
With a local surveyor he translated and published the new concept of logarithms in the 1620's. In 1628 he published the first full table of logs to base 10 from 1 to 100,000, calculated to ten places. As nearly as I can find out, this heroic task has never been repeated. All subsequent log tables are copies of Vlacq's.
In 1633 he also published tables of the logs of the trigonometric functions.

7. References For Vlacq
References for adriaan vlacq. Biography 382. C de Waard, vlacq (adriaan),Nieuw nederlandsch biographisch woordenboek 11 (1912), 15031506.
http://www-gap.dcs.st-and.ac.uk/~history/References/Vlacq.html
References for Adriaan Vlacq
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles:
  • Janus
  • J W L Glaisher, Early Logarithmic Tables, Philosophical Magazine
  • J W L Glaisher, Early Logarithmic Tables, Philosophical Magazine
  • C de Waard, Vlacq (Adriaan), Nieuw nederlandsch biographisch woordenboek 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/References/Vlacq.html
  • 8. References For Vlacq
    References for the biography of adriaan vlacq References for adriaan vlacq. Biography in Dictionary of Scientific Biography C de Waard, vlacq (adriaan), Nieuw nederlandsch biographisch woordenboek11
    http://www-groups.dcs.st-and.ac.uk/~history/References/Vlacq.html
    References for Adriaan Vlacq
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles:
  • Janus
  • J W L Glaisher, Early Logarithmic Tables, Philosophical Magazine
  • J W L Glaisher, Early Logarithmic Tables, Philosophical Magazine
  • C de Waard, Vlacq (Adriaan), Nieuw nederlandsch biographisch woordenboek 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/References/Vlacq.html
  • 9. Ask Jeeves For Kids!
    Wallis, John. vlacq, adriaan. Viviani, Vincenzo. Vi ete, Francois Rudolff, Christoff. Roomen, adriaan van. Rolle, Michel. Roberval, Gilles
    http://www.ajkids.com/kidsaskjeeves.asp?ask=Galileo&qSource=0&origin=0&a

    10. U. Of Western Ontario /All Locations
    Author, vlacq, adriaan, 16001667. Uniform ti, Ephemerides motuum coelestium adannos vulgaris æræ 1633. 1634. 1635. 1634. 1635. 1636. AV = adriaan vlacq.
    http://alpha.lib.uwo.ca:5701/search/tRudolphine tables./trudolphine tables/-5,-1
    Search History) AUTHOR: Vlacq, Adriaan, 1600-1667. AUTHOR: Albert, C. (Claude), 1944- KEYWORD: Drury, E. C. (Ernest Charles), 1878-1968. KEYWORD: d:(missions and japan) or d:(methodist and church and in) KEYWORD: Albert College (Belleville, Ont.) Periodicals. SUBJECT: United Farm Workers. (Clear Search History) (End Search Session)
    Search history function requires JavaScript
    AUTHOR TITLE SUBJECT MEDICAL SUBJECT WORD KEYWORD CALL NO Brescia University College Library Business Library Choral/Band/Orchestral Curriculum Resource Centre Education Library Huron University College Library King's University College Library Law Library Music Library St. Peter's Seminary Library The D. B. Weldon Library Western Libraries Information and Media Studies Int'l Centre for Olympic Studies Pride Library Electronic Resources Journals View Entire Collection Author Vlacq, Adriaan, 1600-1667. Uniform ti Title The celestiall motions, for the yeeres of the vulgar era 1633. 1634. 1635. 1636 [electronic resource] : Calculated out of the tables of Philip Lansburg for the motions and coniunctions of the luminaries, by A.V. and for the other planets out of the Rudolphine Tables by Iohn Kepler ... With the instructions for the use of them. Publisher London : Printed by William Iones, dwelling in Red-Crosse-Street, 1635.

    11. Vlacq
    Biography of adriaan vlacq (16001667) adriaan vlacq. Born 1600 in Gouda, Netherlands Main index. adriaan vlacq was a bookseller and publisher
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Vlacq.html
    Adriaan Vlacq
    Born: 1600 in Gouda, Netherlands
    Died: 1667 in The Hague, Netherlands
    Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
    Adriaan Vlacq was a bookseller and publisher. In 1632 he settled in London and opened a bookshop. Tension between King Charles I and the House of Commons steadily increased during 1641 and after his unsuccessful attempt to arrest five members of Parliament on 4 January 1642 Charles left London on 10 January and King and Parliament prepared for war. Vlacq decided that London was not a good place to sell books with the approaching unrest so he left for Paris in 1642. A dedication in a book he published 10 years later suggests that he sympathised with the Royalist side in the Civil War. In Paris Vlacq again set up a book business. He remained there for six years before returning to The Hague where he again sold and published books. Vlacq published a table of Briggs logarithms from 1 to 100,000 to 10 decimal places in Arithmetica logarithmica in 1628.

    12. Bibliography - Published Works
    Vincentio impugnata fuit (adriaan vlacq, HagaeComitum = The Hague, 1656). Chr.Hugenii de Saturni lunâ observatio nova (adriaan vlacq, Hag. Com.
    http://www.phys.uu.nl/~huygens/hug_biblio1_en.htm
    Works of Christiaan Huygens published during his lifetime or as a consequence of his last will
    Introduction
    One should be aware that as an overview of Huygens' work and influence, a mere list of his publications is only of relative value. In many cases, Huygens was rather slow to publish his discoveries, or simply to finish something off. Several writings only saw the light many years after they had been conceived and some works Huygens planned to write were never printed during his lifetime. This is the case for instance for his work on centrifugal force, which is presently considered one of his greatest achievements, and for his treatise on dioptrics. However, this does not mean that the works he kept in manuscript remained totally unknown. The printed word was decidedly less important as a means of communication in the seventeenth century than it is nowadays. Learned correspondence between scholars or communications to scientific academies had something of a 'public' character as well. Huygens waged an intensive correspondence with many scholars at home and abroad, and for many years was a leading member of the Paris Academy of Sciences. Moreover, one should keep in mind that Huygens was not just a theoretician, but also a very competent maker and inventor of instruments and other apparatus: clocks, telescopes, air-pumps, planetaria, and so on. Much of his theoretical work was related to these more practical activities, and his inventions often were based on elaborate theoretical considerations. Thus, Huygens influence went not only by the printed word. Much of it was embodied in instruments and designs. Some of these were officially registered by patents.

    13. Before Newton - Primary Sources - Electronic Texts - Early Modern - The Scientif
    1636 by vlacq, adriaan, 16001667. London Printed by William Iones, dwelling in Red-Crosse-Street, 1635
    http://www.clas.ufl.edu/users/rhatch/pages/01-Courses/current-courses/04-his-648
    N A T U R A L P H I L O S O P H Y B E F O R E N E W T O N
    P r i m a r y S o u r c e s - E l e c t r o n i c T e x t s
    From Antiquity to 1750
    Dr Robert A. Hatch - 226 Keene-Flint Hall - 392-0271
    Department of History - University of Florida G entle R eader: Early Modern Appraisals of Ancient Philosophy:
    Bib Name / Number:Wing (2nd ed.) / R273 - Copy from: Bodleian Library
    A brefe and pleasaunte worke, and sience, of the phelosopher, Pictagoras by Pythagoras. Imprented at Londo[n] : In the Ventre vpon the. iii. Craned wharfe. by me Wyllyam Copland, 1560
    Bib Name / Number:STC (2nd ed.) / 20524 - Copy from: British Library The geomancie of Maister Christopher Cattan Gentleman by Cattan, Christoforo. London : Printed by Iohn VVolfe, and are to be sold at Edward VVhites shop, at the signe of the Gunne, at the little north doore of Paules, 1591
    Bib Name / Number:STC (2nd ed.) / 4864 - Copy from: Henry E. Huntington Library and Art Gallery

    14. Systema Saturnium (1659)
    Het verscheen op 28 juli 1659 bij de Haagse drukker en uitgever adriaan vlacq. teDen Haag, bij adriaan vlacq, drukker en boekverkoper, in het jaar 1659.
    http://www.phys.uu.nl/~huygens/systema_saturnium_nl.htm
    Systema Saturnium (1659)
    Systema Saturnium is het geschrift waarin Christiaan Huygens zijn waarnemingen en theorieën aangaande de planeet Saturnus heeft vastgelegd. Het verscheen op 28 juli 1659 bij de Haagse drukker en uitgever Adriaan Vlacq. Huygens beschrijft hierin uitvoerig zijn theorie over de ring van Saturnus en geeft een verklaring voor de veranderingen in de vorm van de planeet zoals die door een telescoop waarneembaar zijn. Daarnaast geeft hij ook een verbeterde waarde voor de omloopstijd van de door hem ontdekte maan van Saturnus en tabellen om diens positie te voorspellen. Vanwege de omvang is het werk in deze webeditie als volgt ingedeeld Naast deze Nederlandse webeditie is het werk ook als volgt online raadpleegbaar:
    Christiaan Constantijnsz. Huygens van Zuilichem
    Het SYSTEEM VAN SATURNUS, of de oorzaken van Saturnus’ wonderlijke verschijningen. En over de nieuwe planeet die hem vergezelt

    15. The Scientific Revolution - Primary Sources & Readings - Opera Omnia & Oeuvres C
    1636 by vlacq, adriaan, 16001667. London Printed by William Iones, dwelling in Red-Crosse-Street, 1635
    http://www.clas.ufl.edu/users/rhatch/pages/03-Sci-Rev/SCI-REV-Home/resource-ref-
    Scientific Revolution, Biography, Information, Resources, Links to Individuals of the Scientific Revolution T HE S C I E N T I F I C R E V O L U T I O N
    P R I M A R Y S O U R C E S
    OPERA OMNIA - OEUVRES COMPLETES
    PRIMARY PRINTED SOURCES - c.1473 - 1727
    Dr Robert A. Hatch - University of Florida
    GALLICA
    GALLICA
    T hanks to the generosity and traditional intelligence of the French nation, the world has for several years now enjoyed free access to some 15 million pages of classics texts, volumes representing the span of history that cut across national boundaries as well as disciplines and themes. The Gallica GALLICA search, retrieval, and download system is simple and free of cost. Users will experience a banquet of possibilities but only a introductory taste of what will unfold in the future. As with other sites, most texts are in PDF format. To search, go to the GALLICA site and click on Recherche . Type in author, title, or search by subject.

    16. A. Vlacq - De Nieuwe Telkonst
    Aanvullende gegevens adriaan vlacq (ook Vlack), Eerste deel vande nievweTelkonst, Gouda Pieter Rammaseyn (1626). Na een ongenummerde
    http://www.kun.nl/w-en-s/gmfw/bronnen/vlacq1.html
    Aanvullende gegevens:
    Adriaan Vlacq (ook: Vlack), Eerste deel vande nievwe Telkonst , Gouda: Pieter Rammaseyn (1626).
    Na een ongenummerde voorrede (niet opgenomen), bestaat dit boek uit 308 pp. tekstblok, waarachter een hele serie ongenummerde tabellen en tot slot 27 pp. voor deze editie van De Thiende
    De Thiende
    van Simon Stevin opgenomen (zie titelblad). Het boek zelf is, zoals het titelblad ook vermeldt, een bewerking van het latijnse origineel van J. Napier, , Edinburgh (1617).
    Noten waren in het origineel opgenomen in de marge van de tekst; verwijzing met behulp van verschillende figuurtjes. Omdat de noten alleen dienden om occasioneel het nederlandse woord van een latijns origineel te voozien, zijn ze uit deze tekst weggelaten.
    Als in het origineel worden de u en de v door elkaar gebruikt, en wordt soms gebruik gemaakt van de ,,W'' voor de combinatie ,,Ui''. De grote sierletters aan het begin van elk hoofdstuk zijn niet overgenomen. Voor de symbolen op p. 20 uit de Thiende van Stevin is gekozen voor een weergave van het getal tussen haakjes: met (1) wordt dus aangeduid het cijfer 1 met een cirkeltje eromheen.
    Het prentje op pagina 2 was in de tekst opgenomen ("hiernevens"), en is in deze versie op zijn kant gelegd om minder ruimte in te nemen. Alle delingen en producten waren in de kantlijn geplaatst, met de tekst erlangs uitgevuld.

    17. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï
    Vicenzo Viviani Born 5 April 1622 in Florence, Italy Died 22 Sept 1703 in Florence,Italy vlacq, adriaan vlacq Born 1600 in Gouda, Netherlands Died 1667 in
    http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=V

    18. Re: [HM] Logarithm Tables By Eisso J. Atzema
    practice is often assumed to go back to adriaan vlacq (16001667), the publisher of Brigg's logarithm tables know of any places in vlacq's tables that seem to indicate that
    http://mathforum.com/epigone/historia_matematica/drulspenfram/A84C3493-1E9D-11D7
    Re: [HM] logarithm tables by Eisso J. Atzema
    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] logarithm tables Author: atzema@math.umaine.edu Date: The Math Forum

    19. Encyclopædia Britannica
    publ.), Vlacic Ilir, Matija (rel. reformer) see Flacius Illyricus, Matthias, vlacq,adriaan (Du. math.), Vlad III the Impaler (ruler of Walachia), Vladeasa (mt.
    http://www.britannica.com/eb/index?search=Vl

    20. Indice V
    Translate this page Viola, Tulio. Vitali, Giuseppe. Vivanti, Giulio. Viviani, Vincenzo. vlacq,adriaan. Vogel, Kurt. Voigt, Woldemar. Volterra, Vito. volumen. volumen elemental.
    http://ing.unne.edu.ar/Matem_diccion/p323_ind_v.htm
    INDICE LETRA "V" V v Vacca, Giovanni Vailati, Giovanni ... vórtice

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