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Lo Stomachion di Archimede nelle testimonianze antiche 阿基米德的胃在古代文献中
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2009-01-01 DOI: 10.1400/122851
G. Morelli
{"title":"Lo Stomachion di Archimede nelle testimonianze antiche","authors":"G. Morelli","doi":"10.1400/122851","DOIUrl":"https://doi.org/10.1400/122851","url":null,"abstract":"Stomachion was an ancient game, widespread in Greece and Rome. Players used fourteen tesserae of different geometrical shapes, initially arranged to form a square. An Archimedes' homonymous treatise is fragmentarily transmitted by an Arabic translation and a Byzantine palimpsest, recently rediscovered. Fragments are here studied together with the testimony about the game of ancient authors (all Latin: Lucretius, Caesius Bassus, Aelius Festus Apthonius, Ausonius, Ennodius); on the one hand they confirm denomination and purpose of the game, on the other hand they exclude the use of combinatorial analysis in Archimedes' treatise.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"29 1","pages":"1000-1026"},"PeriodicalIF":0.1,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Gabriele Manfredi e l'insegnamento della matematica a Bologna nel XVIII secolo 加布里埃尔·曼弗雷迪和18世纪博洛尼亚的数学教学
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2009-01-01 DOI: 10.1400/122852
S. Giuntini
{"title":"Gabriele Manfredi e l'insegnamento della matematica a Bologna nel XVIII secolo","authors":"S. Giuntini","doi":"10.1400/122852","DOIUrl":"https://doi.org/10.1400/122852","url":null,"abstract":"Gabriele Manfredi, who published in 1707 a textbook on integral calculus, taught for more than forty years (1720 to 1761) analytic geometry and Leibnizian calculus at the University of Bologna. In this paper we discuss the importance of Manfredi's lectures and we reconstruct, mainly by means of unpublished documents kept at the State Archives of Bologna, his university career and more generally the mathematical courses offered at the Bologna Archiginnasio during the XVIII century.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"29 1","pages":"1000-1076"},"PeriodicalIF":0.1,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Viète reader of Diophantus : An Analysis of Zeteticorum libri quinque 丢番图的生动读本:对图书馆的Zeteticorum的分析
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2008-01-01 DOI: 10.1400/94823
P. Freguglia
{"title":"Viète reader of Diophantus : An Analysis of Zeteticorum libri quinque","authors":"P. Freguglia","doi":"10.1400/94823","DOIUrl":"https://doi.org/10.1400/94823","url":null,"abstract":"In the second half of the XVI th century and the first years of the XVII th century, the Diophantus Arithmetica was studied with great interest. The manuscripts of Arithmetica were discovered by A. M. Pazzi and were translated by R. Bombelli (1567, 1572), by G. Xylander (1575) and by S. Stevin (1585). Francois Viete, taking the Xylander text into account, wrote Zeteticorum Libri quinque in 1593 using his algebraic techniques. Viete's aim was only partially to translate by means of his logistica speciosa the Diophantus's quaestiones. As a matter of fact he proposes other interesting problems. Our goal is an analysis of some aspects of Viete's Zeteticorum libri quinque. In particular, we will examine some zetetici of the IV th book, which concern the indeterminate second degree problems, the relationships with some propositions which we find in the part Genesis Triangulorum of Notae Priores and the pre-eminent role of the zeteticum IV, 2. Furthermore, it is interesting to consider the geometrical interpretation of some zetetici by scholars of Viete (see i.e. J. L. Vaulezard (1630)). Moreover, we will analyze the indeterminate third degree problems by comparing them with some of Fermat's remarks. In this context we will propose an interesting mathematical philological result regarding the solution of the indeterminate equation x 3 +y 3 =a 3 + b 3 .","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"28 1","pages":"1000-1045"},"PeriodicalIF":0.1,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66641485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Treatise "On teh Section of a Cylinder" of Serenus of Antinoeia and the Apollonian Tradition 论安蒂诺亚的塞雷诺斯与阿波罗传统的“圆柱体的截面”
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2007-01-01 DOI: 10.1400/77551
Konstantinos Nikolantonakis
{"title":"The Treatise \"On teh Section of a Cylinder\" of Serenus of Antinoeia and the Apollonian Tradition","authors":"Konstantinos Nikolantonakis","doi":"10.1400/77551","DOIUrl":"https://doi.org/10.1400/77551","url":null,"abstract":"We approach three aspects of the works of Serenus of Antinoeia: the historical, the mathematical and the logical. The comparisons between the treatise “On the Section of a Cylinder of Serenus of Antinoeia” and the treatises “The Mathematical Collection” of Pappus, “Commentary on the Conics” and “Commentary on the Sphere and the Cylinder” of Eutocius, “The Conics” of Apollonios, “The Elements”, “Phenomena” and “Optics” of Euclid and “On Spheroids and Conoids” and “On the Sphere and the Cylinder” of Archimedes permit us to conclude the membership of the propositions 1 to 28 of his treatise to the Apollonian tradition. We examine, also, the transmission of the treatise in the Byzantine and the Arabic scientific circles.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"27 1","pages":"1000-1025"},"PeriodicalIF":0.1,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66638448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Le residenze del padre di Leonardo da Vinci a Firenze nei quartieri di Santa Croce e di Santa Maria Novella 列奥纳多·达·芬奇的父亲住在佛罗伦萨的圣十字和圣玛丽亚中篇小说区
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2007-01-01 DOI: 10.1400/77556
E. Ulivi
{"title":"Le residenze del padre di Leonardo da Vinci a Firenze nei quartieri di Santa Croce e di Santa Maria Novella","authors":"E. Ulivi","doi":"10.1400/77556","DOIUrl":"https://doi.org/10.1400/77556","url":null,"abstract":"This work sets out to construct the places where Leonardo da Vinci’s father, Ser Piero di Antonio, lived and worked in Florence in the years 1451-1469, drawing on original documents in the city’s State Archives. The results of the research provide interesting clues for observations and hypotheses about the years of Leonardo’s childhood and adolescence, during the great master’s first Florentine period.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"10 1","pages":"1000-1017"},"PeriodicalIF":0.1,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66638453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sophia e Mathesis negli scritti di antonio nardi 索菲亚和玛西亚在安东尼奥·纳迪的著作中
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2006-01-01 DOI: 10.1400/53733
M. Milighetti
{"title":"Sophia e Mathesis negli scritti di antonio nardi","authors":"M. Milighetti","doi":"10.1400/53733","DOIUrl":"https://doi.org/10.1400/53733","url":null,"abstract":"","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"26 1","pages":"1000-1023"},"PeriodicalIF":0.1,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66629375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bettino di ser antonio, un maestro d'abaco nel castello di romena 罗马尼亚城堡里的算盘大师贝蒂诺·迪塞尔·安东尼奥
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2006-01-01 DOI: 10.1400/53735
E. Ulivi
{"title":"Bettino di ser antonio, un maestro d'abaco nel castello di romena","authors":"E. Ulivi","doi":"10.1400/53735","DOIUrl":"https://doi.org/10.1400/53735","url":null,"abstract":"","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"26 1","pages":"1000-1051"},"PeriodicalIF":0.1,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66630384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
I Gesuiti e la pubblicazione dell'Ottica di Francesco Maurolico 耶稣会士和发表弗朗西斯科·毛罗里科的观点
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2006-01-01 DOI: 10.1400/58521
R. Bellè
{"title":"I Gesuiti e la pubblicazione dell'Ottica di Francesco Maurolico","authors":"R. Bellè","doi":"10.1400/58521","DOIUrl":"https://doi.org/10.1400/58521","url":null,"abstract":"This essay examines the events concerned with the publication of four optical works by Francesco Maurolico (1495-1575). The edition was carried out in Naples in 1611 by G. G. Staserius (S.J. 1565-1635). In a recent contribution we presented a complete list of Maurolico’s optical works and proved that some original optical corpus included some texts today lost. In the present essay, instead, it is proposed a reconstruction of the process that led to the printed edition of the four treatises yet available today. The making of the edition is described through the investigation of letters written on this topic by Staserisus to C. Clavius (S. J. 1538-1612). Clavius, as a matter of fact, had an important role in the production of this edition, inserting his own additions to the genuine Maurolican texts. First of all it is investigated the scientific relationship between Maurolico and Clavius. Moreover the role of optical studies in the Ratio studiorum and their presence in the courses at Collegio Romano are taken under scrutiny. In conclusion, it is examined the circulation, in the Jesuit background, of some Maurolician studies in the field of optics.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"26 1","pages":"1000-1033"},"PeriodicalIF":0.1,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66632779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Gli Elementi mechanici di Colantonio Stigliola, un trattato archimedeo di meccanica del XVI secolo Colantonio Stigliola的机械元素，16世纪的阿基米德力学论文
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2006-01-01 DOI: 10.1400/58523
R. Gatto
{"title":"Gli Elementi mechanici di Colantonio Stigliola, un trattato archimedeo di meccanica del XVI secolo","authors":"R. Gatto","doi":"10.1400/58523","DOIUrl":"https://doi.org/10.1400/58523","url":null,"abstract":"The De Gli Elementi Mechanici by Colantonio Stigliola, tough little-known, is one of most interesting treatise within the Archimedean tradition. Although inspired to the Maurolico’s De momentis Aequalibus, it was nevertheless a truly original and unique work in the history of the renaissance mechanics. For in it Stigliola not only systematically used the concept of moment, but he also introduced the new concept of equally extended body, which enabled him to consider fundamental aspects of the simple machines in a new and definitive way.","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"26 1","pages":"1000-1043"},"PeriodicalIF":0.1,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66632326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Royal road or labyrinth? : Luca valerio's De Centro Gravitatis Solidorum and the beginnings of modern mathematics 皇家大道还是迷宫?卢卡·瓦莱里奥的《立体重力中心》和现代数学的开端
IF 0.1 4区 哲学
Bollettino di Storia delle Scienze Matematiche Pub Date : 2004-01-01 DOI: 10.1400/17074
Ken Saito, P. D. Napolitani
{"title":"Royal road or labyrinth? : Luca valerio's De Centro Gravitatis Solidorum and the beginnings of modern mathematics","authors":"Ken Saito, P. D. Napolitani","doi":"10.1400/17074","DOIUrl":"https://doi.org/10.1400/17074","url":null,"abstract":"","PeriodicalId":55343,"journal":{"name":"Bollettino di Storia delle Scienze Matematiche","volume":"24 1","pages":"1000-1058"},"PeriodicalIF":0.1,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66606562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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