1. La Divine Proportion De Luca Pacioli La Divine Proportion de luca pacioli luca Pacioli (env. 14501514) est originaire de Borgo San Sepolcro comme Piero della Francesca. http://www.ac-poitiers.fr/arts_p/b@lise14/pageshtm/page_4.htm

La Divine Proportion de luca Pacioli Luca Pacioli (env. 1450-1514) est originaire de Borgo San Sepolcro comme Piero della Francesca. Moine franciscain, théologien, il enseigne avec talent les mathématiques dans de nombreuses villes italiennes et se lie d'amitié avec certains des plus éminents esprits de la Renaissance : Alberti, Piero della Francesca et Vinci. Son œuvre majeure, " Summa di arithmetica, geometrica, proportione et proportionalita ", véritable encyclopédie mathématique, publiée en 1494, lui assure la célébrité. En 1509 est imprimé à Venise " De Divina Proportione " (1) dont le manuscrit avait été offert plusieurs années auparavant à Ludovic le More, Duc de Milan. Illustré par Léonard de Vinci, l'ouvrage comprend une partie principale consacrée à l'étude des propriétés de la proportion suivi d'un court traité d'architecture, du tracé d'un alphabet antique, et du " Libellus ", une suite d'exercices mathématiques portant notamment sur les polyèdres réguliers (2) Un "

2. Pacioli Luca Pacioli. Luca Pacioli's father was Bartolomeo Pacioli, but Paciolidoes not appear to have been brought up in his parents house. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Pacioli.html

Luca Pacioli Born: 1445 in Sansepolcro, Italy Died: 1517 in Sansepolcro, Italy Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Luca Pacioli 's father was Bartolomeo Pacioli, but Pacioli does not appear to have been brought up in his parents house. He lived as a child with the Befolci family in Sansepolcro which was the town of his birth. This town is very much in the centre of Italy about 60 km north of the city of Perugia. As far as Pacioli was concerned, perhaps the most important feature of this small commercial town was the fact that Piero della Francesca had a studio and workshop in there and della Francesca spent quite some time there despite frequent commissions in other towns Although we know little of Pacioli's early life, the conjecture that he may have received at least a part of his education in the studio of della Francesca in Sansepolcro must at least have a strong chance of being correct. One reason that this seems likely to be true is the extensive knowledge that Pacioli had of the work of Piero della Francesca and Pacioli's writings were very strongly influenced by those of Piero Pacioli moved away from Sansepolcro while he was still a young lad. He moved to Venice to enter the service of the wealthy merchant Antonio Rompiansi whose house was in the highly desirable Giudecca district of that city. One has to assume that Pacioli was already well educated in basic mathematics from studies in Sansepolcro and he certainly must have been well educated generally to have been chosen as a tutor to Rompiansi's three sons. However, Pacioli took the opportunity to continue his mathematical studies at a higher level while in Venice, studying mathematics under Domenico Bragadino. During this time Pacioli gained experience both in teaching, from his role as tutor, and also in business from his role helping with Rompiansi's affairs.

3. Luca Pacioli Translate this page pacioli luca italien, 1445-1510 Luca Pacioli et son élève Guidobaldo,duc d'Urbin, par Jacopo de Barbari - Naples. Moine franciscain http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Pacioli.html

PACIOLI Luca italien, 1445-1510 S ur la peinture de droite ( Luca Pacioli et son élève Guidobaldo, duc d'Urbin, par Jacopo de Barbari - Naples) Euclide (en un mot : la Summa Recorde : Ci-contre, l' La Summa Chuquet quadrature du cercle nombre d'or Ci-contre, le (stella octangula). Cristaux Chuquet Widmann

4. Luca Pacioli - Wikipedia Luca Pacioli. From Wikipedia, the free encyclopedia. Luca BartolomesPacioli, Italian mathematician, (14451517), is credited with http://www.wikipedia.org/wiki/Luca_Pacioli

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Luca Pacioli From Wikipedia, the free encyclopedia. Luca Bartolomes Pacioli , Italian mathematician, ( ), is credited with the first publication of the 'Venetian method' of keeping accounts, now known as ' double-entry bookkeeping '. For this reason, some regard him as the founder of the field of accountancy His publications include the Summa de arithmetica, geometria, proportioni et proportionalita an encylopaedic work on the state of the art in arithmetic, mathematics , and bookkeeping at the time. He was a close friend of Leonardo da Vinci External links: Luca Pacioli: The Father of Accounting Full Bio of Pacioli (St.Andrews) Pacioli Resource site Accounting, a Virtual History ... Recent changes It was last modified 19:00 Mar 6, 2003. All text is available under the terms of the GNU Free Documentation License Main Page Recent changes Random page ... Bug reports

5. Luca Pacioli Luca Pacioli By Jennifer Wolf. Luca Pacioli was born in Sansepolcro,Italy, circa 1445. Luca Pacioli died in 1517, in his home town. http://www.physics.ucla.edu/class/85HC_Gruner/bios/pacioli.html

Luca Pacioli By Jennifer Wolf In 1494, Pacioli wrote his most famous work, Summa de arithmetica, geometria, proportioni et proportionalita . This work, 600 pages of small print in Italian, was not aimed to serve a particular section of the Italian community, and thus served as a comprehensive guide on several aspects of mathematics and bookkeeping. Therefore, the work was studied by many mathematicians of the 16th century and influenced many of their writings. Also within Summa was Pacioli's treatise on bookkeeping, the first printed book to address a system developed by the merchants of Venice of the double-entry method, still held in esteem by the accounting community. In 1497, Pacioli was invited to teach mathematics at the court of Ludovico Sforza, duke of Milan. There, he met Leonardo da Vinci, also employed at Sforza, who helped him with this work and drawings for his books . During this time, Pacioli wrote the first part of Divina Proportione , likely the most complete and elegant book on the notion of the Golden Mean. When Sforza was later captured in 1499, by the French army, Pacioli and Leonardo journeyed to Florence. In 1505, Pacioli was elected superior of his order for the province Romagna, and then was accepted as a member of Florence's monastery at Santa Croce. During these years, Pacioli worked on a Latin edition, as well as an Italian translation, of Euclid's

6. Traité Des Comptes Et Des écritures Pacioli Luca, Jouanique Pierre Translate this page Traité des comptes et des écritures pacioli luca, Jouanique Pierre.Titre Traité des comptes et des écritures. Rubriques Luca http://www.my-rubriques-spectacle.com/Pacioli-Luca-Jouanique-Pierre--2910413101.

Traité des comptes et des écritures Pacioli Luca, Jouanique Pierre Titre: Traité des comptes et des écritures Rubriques: Luca Pacioli, Comptabilité, Histoire, Tenue des livres Auteurs: Pacioli Luca Jouanique Pierre Raditchkov Yordan Nous les mo... Collectif La Prose georgienne ... Yovkov Yordan Légendes du Bal... Chklovski Victor La Troisième... ... Home

7. Luca Pacioli - Acapedia - Free Knowledge, For All Luca Pacioli. From Wikipedia, the free encyclopedia. External links LucaPacioli The Father of Accounting; Full Bio of Pacioli (St.Andrews); http://acapedia.org/aca/Luca_Pacioli

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8. CATHOLIC ENCYCLOPEDIA: Lucas Pacioli (Catholic Encyclopedia)Category Society Religion and Spirituality P......Lucas Pacioli. (Paciuolo.). Mathematician, born at Borgo San Sepolco, Tuscany,toward the middle of the fifteenth century; died probably soon after 1509. http://www.newadvent.org/cathen/11383b.htm

Home Encyclopedia Summa Fathers ... P > Lucas Pacioli A B C D ... Z Lucas Pacioli (Paciuolo.) PAUL H. LINEHAN Transcribed by Christine J. Murray The Catholic Encyclopedia, Volume XI Nihil Obstat, February 1, 1911. Remy Lafort, S.T.D., Censor Imprimatur. +John Cardinal Farley, Archbishop of New York We also recommend The Catholic Company and Aquinas and More and The Catholic Store for Catholic books and gifts. Subscribe to our FREE Catholic newsletter. 23 March 2003. "Blessed be Jesus Christ in His Angels and in His Saints The Divine Praises

9. Dict Ducats De Pacioli Translate this page Dictionnaire de mathématiques récréatives. pacioli luca, dit LucaDi Borgo (v. 1445 - 1514). ° Ducats de Pacioli. – Problème http://www.recreomath.qc.ca/dict_pacioli_d.htm

Page d'accueil Banque de problèmes récréatifs Défis Détente ... Contactez-nous Dictionnaire de mathématiques récréatives Pacioli Luca, dit Luca Di Borgo (v. 1445 - 1514) Ducats de Pacioli. – Problème proposé par le mathématicien italien Pacioli : Un marchand dépense un quart de son avoir à Pise et un cinquième à Venise. Puis, après avoir fait un bénéfice de 180 ducats, il a en main 224 ducats. Quel était son avoir initial ? Le problème peut être résolu par la stratégie de la fausse supposition . L'avoir du marchand était de 80 ducats. Le problème des ducats de Pacioli appartient à la classe des récréations numériques Charles-É. Jean, 1996-2001. Tous droits réservés. Index : P

10. Luca Pacioli Luca Pacioli (14451520) was one of the main persons of the Italian renaissance.He was a fransiscaner monk and in his time a scientist http://www.xs4all.nl/~stoa/uk/bibliotheek/luca/default.htm

Luca Pacioli (1445-1520) was one of the main persons of the Italian renaissance. He was a fransiscaner monk and in his time a scientist who stand in front and authur on proffessions like math, theology, architecture and trade. Het was a friend of Leonardo da Vinci. His most famous piece of work is the "Summa de arithmetica, geometrica, proportioni et proportionalita", publiced in 1494. Luca Pacioli derived his reputation as a founder of the modern bookkeping from his book "Summa.........", which especially writes about daily math. In one of the chapters of the book, which is tributed to a Veniciane family, he describes the first principals of double bookkeping. Allthough his originality is disputable (he was accused of plagiarism of Da Vinci for example), he is still being mentioned by bookkeping at college.

11. Luca Pacioli Luca pacioli luca Pacioli (14451520) was een van de hoofdpersonenuit de italiaanse renaissance. Hij was fransiscaner monnik en http://www.xs4all.nl/~stoa/nw/nl/bibliotheek/luca/luca.htm

Luca Pacioli Luca Pacioli (1445-1520) was een van de hoofdpersonen uit de italiaanse renaissance. Hij was fransiscaner monnik en in zijn tijd een vooraanstaand geleerde en auteur op gebieden zoals wiskunde, theologie, architectuur en handel. Hij was een tijdgenoot en vriend van Leonardo da Vinci. Zijn bekendste werk is de "Summa de arithmetica, geometrica, proportioni et proportionalita", gepubliceerd in 1494. Aan de "Summa........." , dat overigens vooral handelt over de wiskunde van het dagelijks leven, ontleent Luca Pacioli zijn reputatie als de grondlegger van het moderne boekhouden. In een van de hoofdstukken van het boek , dat is opgedragen aan een van de aanzienlijke venetiaanse families van zijn tijd, beschrijft hij als eerste de principes van het dubbel boekhouden. Hoewel zijn originaliteit wel wordt betwist (hij is beschuldigd van plagiaat o.a. van Da Vinci), doet hij thans nog dienst als de schutspatroon voor boekhouders en studenten bedrijfskunde.

12. Città Di Palermo - Toponomastica - Vie Con Iniziale Nome "P" Translate this page P. 18 (via) - Oggi via pacioli luca. P. 19 (via) - Oggi via Cerboni Giuseppe. PACIOLILUCA (via) - Dalla via Patti alla via Leonardo Pisano - 1 - 2 - Circ. http://www.comune.palermo.it/Comune/Toponomastica/vie_p.htm

Comune Archivio Servizi Sociali Guida alla Città ... Meteo Commissione Toponomastica (funzionario Architetto Michelangelo Salamone - segretaria Rosalba Bellomare) Via Libertà, /a - - Fax Elenco generale delle vie della Città di Palermo A B C D ... X Vie con inziale nome P P. (largo) - Oggi largo Cotrugli Benedetto. P. (via) - Oggi via Malvica Giuseppe. P. (via) - Oggi via Dedalo. P. (viale) - Oggi viale Resurrezione (della). P. (via) - Oggi viale Euridice. P. (via) - Oggi via Paolucci Raffaele. P. (via) - Oggi via Prestisimone Pasquale. P. (via) - Oggi via Mascherpa Lorenzo. P. (via) - Oggi via Nicodemo Vescovo. P. (via) - Oggi via Doria Cardinale. P. (via) - Oggi via Padre Rosario da Partanna. P. (via) - Oggi via Campioni Inigo Ammiraglio. P. (via) - Oggi via Fortino Anna. P. (via) - Oggi via Vetri Paolo. P. (via) - Oggi via Tripisciano Michele. P. (via) - Oggi via Buglio Ludovico. P.

13. Pacioli Luca Abhandlung über Die Buchhaltung 1494 Translate this page pacioli luca Abhandlung über die Buchhaltung 1494. Titel Abhandlungüber die Buchhaltung 1494. Autor pacioli luca. Rubrik Wirtschaft http://www.fachbuch-arena.de/Pacioli-Luca-Abhandlung-ueber-die-Buchh-379101188X.

Pacioli Luca Abhandlung über die Buchhaltung 1494 Titel: Abhandlung über die Buchhaltung 1494. Autor: Pacioli Luca Rubrik: Wirtschaft Allgemeines Lexika Geschichte Buchhaltung Wirtschaftsgeschichte Zahn Erich, Foschiani S Maßg... International Accounting ... Wißkirchen Frank Outsourcing-... Bühner Rolf, Sulzbach K Wert... ... Home

14. Luca Pacioli: Father Of Accounting The life of luca pacioli The Father of Accounting. luca pacioli was one of the greatest men of the Renaissance. http://members.tripod.com/~FlynF/pacioli.htm

Luca Pacioli: The Father of Accounting Bibliography Research Information Links Pictures Luca Pacioli was one of the greatest men of the Renaissance. He is also one of the least well known. This is surprising, for Luca Pacioli's manuscripts and ideas changed the way the world worked then, and continue to affect modern daily life. Luca Pacioli was born in Sansepulcro, in Tuscany. He was probably born during 1445. His family was poor, and Pacioli's future seemed very unpromising. Pacioli joined a Franciscan monastery in Sansepulcro and became an apprentice to a local businessman. The young Pacioli had always loved mathematics though, and he soon abandoned his apprenticeship to work as a mathematics scholar. Pacioli befriended the artist Piero della Francesca, one of the first and greatest writers and artists of perspective. Francesca and Pacioli journeyed over the Appenines, where Francesca gave Pacioli access to the library of Frederico, the Count of Urbino. The collection of four thousand books allowed Pacioli to further his knowledge of mathematics. Francesca also introduced Pacioli to Leon Baptist Alberti, who would become Pacioli's new mentor. Alberti brought Pacioli to Venice and arranged for him to tutor the three sons of the rich merchant Antonio de Reimpose. During this time, in the year 1470, Pacioli wrote his first manuscript at the age of twenty-five. The book was about algebra and was dedicated to the Reimpose boys.

15. Luca Pacioli: The Father Of Accounting luca pacioli The Father of Accounting In 1994, accountants from around the world gathered in an Italian village called San Sepulcro to celebrate the 500th anniversary of the first book written on doubleentry accounting. http://acct.tamu.edu/smith/ethics/pacioli.htm

Luca Pacioli: The Father of Accounting* In 1994, accountants from around the world gathered in an Italian village called San Sepulcro to celebrate the 500th anniversary of the first book written on double-entry accounting. The book was written by an Italian monk, Luca Pacioli (pronounced pot-CHEE-oh-lee). The first accounting book actually was one of five sections in Pacioli's mathematics book titled "Everything about Arithmetic, Geometry, and Proportions." This section on accounting served as the world's only accounting textbook until well into the 16th century. A new english interpretation of Pacioli's treatise was published recently and can be ordered from the Pacioli Society, Albers School of Business and Economics, Seattle University, Seattle, WA 98122. (Phone: 206.296.5690 Fax: 206.296.2464). In addition, the Society has a 30-minute video of Pacioli's life. Because Pacioli was a Franciscan monk, he might be referred to simply as Brother Luca. While Brother Luca is often called the "Father of Accounting," he did not invent the system. Instead, he simply described a method used by merchants in Venice during the Italian Renaissance period. His system included most of the accounting cycle as we know it today. For example, he described the use journals and ledgers, and he warned that a person should not go to sleep at night until the debits equalled the credits! His ledger included assets (including receivables and inventories), liabilities, capital, income, and expense accounts. He demonstrated year-end closing entries and proposed that a trial balance be used to prove a balanced ledger. Also, his treatise alludes to a wide range of topics from accounting ethics to cost accounting.

16. Luca Pacioli's Polyhedra luca pacioli (1445 1514, sometimes "Paciolo") is the central figure in this painting (by Jacopo de Barbari*, 1495). http://www.georgehart.com/virtual-polyhedra/pacioli.html

Luca Pacioli's Polyhedra Luca Pacioli (1445 - 1514, sometimes "Paciolo") is the central figure in this painting (by Jacopo de Barbari*, 1495). Perhaps no other work so epitomizes the deep Renaissance connection between art and mathematics. Pacioli (a Franciscan friar, shown in his robes) stands at a table filled with geometrical tools (slate, chalk, compass, dodecahedron model, etc.), illustrating a theorem from Euclid, while examining a beautiful glass rhombicuboctahedron half-filled with water. Every aspect of the picture has been composed meaningfully, and art historians have analyzed it at length, yet the figure at right remains a mystery. For two rather different conclusions, see the references by M. Davis (who suspects the figure is a self-portrait of the painter) and N. MacKinnon (who proposes that the figure is Albrecht Durer -compare Durer's 1498 self-portrait The polyhedron in the painting is a masterpiece of reflection, refraction, and perspective. (Davis states that the bright region on its surface reflects a view out an open window, showing the Palazzo Ducale in Urbino.) Certainly an actual glass polyhedron was used as a model. (Pacioli states in his books that he constructed several sets of glass polyhedra, but I know of no other information about them.) The polyhedron in the painting is beautifully positioned, suspended with a 3-fold axis vertical, out of physical contact with the other objects in the scene. I suspect that Pacioli chose it for the portrait because he discovered this form and was quite proud of it. (Presumably Archimedes first discovered it, but that wasn't known in Pacioli's time.) The painting is the earliest known image of the

17. Sito Ufficiale Pacioli Crema ITCG PACLE "luca pacioli" CREMA. Attenzione. è in corso una ristrutturazione globale del Gigatesto http://www.pacioli.net/

Home Chi siamo Offerta formativa Area alunni ... Community domenica 30 marzo 2003 [07:23] Principale Chi siamo Offerta formativa Area alunni Area docenti ... Community Cerca nel sito Ricerca avanzata Ricerca avanzata Qualità Benvenuti al Pacioli L'ITCGPACLE "LUCA PACIOLI" ringrazia chi è presente sul nostro sito basato su PHP-Nuke e comunica il suo perenne essere in lavorazione. Presto sarà possibile (ovvero in parte lo è già): leggere informazioni sulla nostra scuola scaricare circolari, documenti, moduli utilizzare le mailing list della scuola vedere che libri e che film sono disponibili utilizzare i due siti Azione B utilizzare il sito IFTS ottenere materiale dai docenti e poi ..... per ogni eventuale richiesta di informazioni Scrivi al Webmaster News Postato da gfanfoni il Sabato, 29 marzo @ 08:53:26 CET (2 letture) fanfoni writes Aggiunta la possibilità di aggiungere articoli o news per l'home page Leggi Tutto... commenti? Azione B - Lavoro : AZIONE B - LAVORO Postato da gfanfoni il Sabato, 29 marzo @ 08:39:52 CET (0 letture) Nuovo materiale nella sezione download commenti?

18. Pacioli's Pages Rons Piece luca pacioli was an Italian mathematician whom was a contemporary of Leonardo Da Vinci who lived from 1445 1520. http://www.suburbia.com.au/~pacioli/Pacioli_History.htm

Midi File Rons Piece : Last Rendevous Jean-Michel Jarre Pacioli's History Luca Pacioli was an Italian mathematician whom was a contemporary of Leonardo Da Vinci who lived from 1445 - 1520. His most famous published work was the treatise "Summa de arithmetica, geometrica, proportioni et proportionalita" which was published in 1494. It was this work, which is generally known as "Summa" , for which he became well known as the father of what was to become Accounting. Pacioli described himself as a "humble professor of sacred theology" as his vocation in life actually as a Franciscan monk. On his greatest work Summa his name does not even appear on the title page of the book, he is only referred to in the small print. He wrote and taught in many fields including mathematics, theology, architecture, games, military strategy and commerce. Summa is generally concerned with the pure mathematics of the day however, as it was dedicated to a famous venetian family of the day, it contained a chapter on the methods of recording a merchants transactions. It was in the recording of the merchants transactions that the ideas of double entry bookkeeping were first written down. Pacioli did stress that he did not claim credit for actually inventing the methodology for recording transaction rather he was distilling the current local practices of the time. Merchants for other regions did use similar flavours of recording but some differences did exist. Pacioli and his work however have evoked quite a deal of discussion and debate over the years. Over the years many things have been alleged including that his work was guilty of blatant plagiarism, was so vague and non-descriptive that it could not actually be proven that he described double entry book keeping and thirdly that he stole the work of Da Vinci!

19. Pacioli Biography of luca pacioli (14451517) luca pacioli's father was Bartolomeo pacioli, but pacioli does not appear to have been brought up in his parents house. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pacioli.html

Luca Pacioli Born: 1445 in Sansepolcro, Italy Died: 1517 in Sansepolcro, Italy Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Luca Pacioli 's father was Bartolomeo Pacioli, but Pacioli does not appear to have been brought up in his parents house. He lived as a child with the Befolci family in Sansepolcro which was the town of his birth. This town is very much in the centre of Italy about 60 km north of the city of Perugia. As far as Pacioli was concerned, perhaps the most important feature of this small commercial town was the fact that Piero della Francesca had a studio and workshop in there and della Francesca spent quite some time there despite frequent commissions in other towns Although we know little of Pacioli's early life, the conjecture that he may have received at least a part of his education in the studio of della Francesca in Sansepolcro must at least have a strong chance of being correct. One reason that this seems likely to be true is the extensive knowledge that Pacioli had of the work of Piero della Francesca and Pacioli's writings were very strongly influenced by those of Piero Pacioli moved away from Sansepolcro while he was still a young lad. He moved to Venice to enter the service of the wealthy merchant Antonio Rompiansi whose house was in the highly desirable Giudecca district of that city. One has to assume that Pacioli was already well educated in basic mathematics from studies in Sansepolcro and he certainly must have been well educated generally to have been chosen as a tutor to Rompiansi's three sons. However, Pacioli took the opportunity to continue his mathematical studies at a higher level while in Venice, studying mathematics under Domenico Bragadino. During this time Pacioli gained experience both in teaching, from his role as tutor, and also in business from his role helping with Rompiansi's affairs.

20. References For Pacioli References for luca pacioli. GM Biggiogero, luca pacioli e la sua 'Divina proportione',Rendiconti dell'Istituto lombardo di scienze e lettere 94 (1960), 330. http://www-gap.dcs.st-and.ac.uk/~history/References/Pacioli.html

References for Luca Pacioli Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: M Bartolozzi and R Franci, The theory of proportions in abacus mathematics from Leonardo Pisano to Luca Pacioli (Italian), Boll. Storia Sci. Mat. G M Biggiogero, Luca Pacioli e la sua 'Divina proportione', Rendiconti dell'Istituto lombardo di scienze e lettere Arch. Hist. Exact Sci. R Franci and L Toti Rigatelli, Towards a history of algebra from Leonardo of Pisa to Luca Pacioli, Janus F R Glushkova and S S Glushkov, The geometrical part of Pacioli's 'Summa' (Russian), in History and methodology of the natural sciences XXIX (Moscow, 1982), 57-63. N MacKinnon, The Portrait of Fra Luca Pacioli, Mathematical Gazette G Masotti Biggiogero, Luca Pacioli e la sua "Divina proportione" (Italian), Ist. Lombardo Accad. Sci. Lett. Rend. A Mathemata, Boethius : Texte Abh. Gesch. Exakt. Wissensch. XII (Wiesbaden, 1985), 237-246. P Speziali, Luca Pacioli et son oeuvre, in Sciences of the Renaissance (Paris, 1973), 93-106.

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