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Displayed below are some selected recent viaLibri matches for books published in 1533

        Giove

      Bulino, 1533. Poco prima del 1520, alcuni giovani artisti della cerchia di Albercht Dürer presero a realizzare incisioni molto piccole che hanno sfidato lo spettatore con un mondo in miniatura, un mondo di nuovo soggetto laico e di interpretazioni non convenzionali di temi tradizionali. A causa delle ridotte dimensioni delle loro incisioni, questi artisti sono stati appellati a lungo, con il nome collettivo, e poco lusinghiero, di Piccoli Maestri di Norimberga. Il nucleo del gruppo consiste in tre artisti di Norimberga, Hans Sebald & Bartel Beham e Georg Pencz, e inoltre Jacob Bink da Colonia e Heinrich Aldegrever da Soest. La presente incisione proviene da una vecchia collezione in cui le opere erano conservate, come spesso accadeva, applicate in un album databile al XVIII secolo. Buona prova, impressa su carta vergata coeva, rifilata al rame, in buono stato di conservazione. Engraving, 1533. A good impression, printed on contemporary paper, trimmed to the platemar, in good conditions. Shortly before 1520, several young artists in the immediate circle of Albercht Dürer began making remarkably small engravings that challenged the viewer with a world in miniature; a world of new secular subject and of unconventional interpretations of traditional themes. Because of the scale of their engravings these artists have long been saddled with the unflattering collective name the Little Masters. The core of the group consist in three Nuremberg artists, Hans Sebald & Bartel Beham and Georg Pencz, Jacob Bink form Cologne and Heinrich Aldegrever from Soest. This engraving comes from an old collection and were pasted in XVIII century portofolio. Bartsch 78. Dim. 63x97.

      [Bookseller: Libreria Yelets]
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        Decretum Gratiani ab innumeris prope mendis quibus incuria temporum et in glossis et in textu passum scatebat, non sine labore gravissimo repurgatum, cum canonibus penitentialibus. Appositi sunt item Canones sanctorum apostolorum per Clementem in unum congesti.

      Lugduni, Francisci Fradin, 1533, grosso volume in folio, legatura coeva in piena pelle con piatti ben restaurati e con impressioni a freddo; dorso rifatto. Frontespizio con grande incisione e marca tipografica di Fradin, capilettera e testo stampati in rosso e nero. Frontespizio riparato senza perdita di parte incisa; le ultime 8 carte con restauro all?angolo inferiore e 4 di queste con minima perdita di testo. In complesso bell?esemplare.

      [Bookseller: Libreria Antiquaria Gozzini]
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        Iasonis Mayni prima super digesto novo.

      Iasonis De Mayno mediolanensis?in primam digesti novi partem commentaria ,omnibus iuris? - In folio - pp.170 - Pergamena - Stupendo frontespizio in rosso e nero all'interno di una bella cornice figurata. - Testo in latino - Alone giallo al margine esterno delle pagine. Antiche note e sottolineatura manoscritte ad inchiostro - Legatura in piena pergamena settecentesca con titolo manoscritto al dorso. Capilettera ornati.

      [Bookseller: Antica Libreria Srl]
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        Plutarchi quae vocantur Parallela : hoc est, Vitae illustrium virorum graeci nominis ac latini, prout quaeque alteri convenire videbatur, accuratius quam antehac unquam digestae.

      Johann. Bebel 1533 1 vol. in-folio reliure ancienne plein vélin moucheté, dos à 6 nerfs, pièce de titre en maroquin rouge, marque d'imprimeur à la devise : "Palma Beb." [Johann. Bebel & Andreas Cratander, cités en grec au colophon ], Basileae [Basel ; Basle ], 1533, titre en latin et grec, épitre de dédicace en latin, reste du texte en grec, 4 ff., 369 pp. et 1 f. (marque d'imprimeur au verso) ; signatures : a4 ; a-z6 ; A-Z6 ; Aa-Pp6 ; Qq4 Exemplaire bien complet du dernier feuillet portant au verso la fameuse marque d'imprimeur "au palmier". Copy complete with the last unpaginated leaf, with Bebel's device (a palm-tree ith a printer's platen in the branches). Bon état pour cette édition bâloise ancienne, établie par l'érudit et humaniste Simon Grynaeus (taches d'encre marginales aux premiers ff., petits accrocs au dos, mq. de vélin en coupe au second plat, coupes et coins frottés, annotation d'époque ms. au recto du dernier ff. en grec avec la traduction latin, signé "J. Lestacher") Brunet, IV, 735 Français

      [Bookseller: Librairie Du Cardinal]
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        Iationices medicamentorum simplicium liber tertius, continens ea quae infernis corporis partibus accidunt, ulcerum item omnis generis, & vulnerum remedia. - (liber quartus), continens febrium, morborum muliebrium, & omnium venerorum remedia.

      8°. 203 numerierte Bl., 1 w. Bl., 132 numerierte Bl. Blindgeprägter Schweinslederband über Holzdeckeln mit reicher Rollstempelverzierung und (ausgerissenen) Schliessen. 2 Bände (von 4). Adams B 2927. - BM I, 266. - Nicht im VD16. - Der 3. und 4. Band dieser Quellenschrift in der Brunfels die Medikamente hauptsächlich aus dem Plinius nach ihrer Anwendung beschreibt. Der 1. und der 2. Teil erschienen im gleichen Jahr. Von 1530-1536 veröffentlichte Brunfels seine berühmte "Historia plantarum". 1534 wurde er als Stadtarzt nach Bern gewählt, verstarb jedoch nach 6 Monaten. - Titelblatt mit Radierspur, dadurch mit hinterlegtem kleinen Loch. Teil 3 stellenweise leicht wasserrandig. Teil 4 sauber, ohne den hinteren, fliegenden Vorsatz. - Sehr selten.

      [Bookseller: Daniel Thierstein Buchantiquariat]
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        Conatuum praecipuorum theoriam parallelarum demonstrandi recensio qvam pvblico examini svnmittent Abrah. Gotthelf Kaestner et avctor Georgivs Simon Klv¨gel Hambvrgensis ...Göttingen: Schultz, 1763.

      Extremely rare first edition of one of the most influential works in the history of non-Euclidean geometry. "If one means by the creation of non-Euclidean geometry the recognition that there can be geometries alternative to Euclid's then Klügel and Lambert deserve the credit" (Kline, p. 869).<br/><br/> There is good evidence that the Parallel Postulate (that through any point not on a given straight line exactly one straight line can be drawn that does not intersect the given line) was considered even by Euclid to be less self-evident than the other axioms of Euclidean geometry. Attempts to deduce the Parallel Postulate from the other axioms began with the commentary of Proclus (published in 1533) and continued through to the eighteenth and even the nineteenth century. However, "... from the general want of success of these attempts, the conviction began to be formed in the second half of the eighteenth century that it would be necessary to admit the Euclidean postulate, or some other equivalent postulate, without proof. In Germany, where the writings upon the question followed closely upon each other, this conviction had already assumed a fairly definite form. We recognize it in A. G. Kästner, a well-known student of the theory of parallels, and in his pupil, G. S. Klügel, author of the valuable criticism of the most celebrated attempts to demonstrate the Fifth Postulate... In this work Klügel finds each of the proposed proofs insufficient and suggests the possibility of non-intersecting straight lines being divergent... He adds that the apparent contradiction which this presents is not the result of a rigorous proof, nor a consequence of the definitions of straight lines and curves, but rather something derived from experience and the judgement of our senses" (Bonola, pp. 50-51). <br/><br/> Born in Hamburg, Georg Simon Klügel (August 19, 1739 - August 1812) entered the University of Göttingen in 1760, where he initially studied theology, though he also took courses in mathematics. He soon came under the influence of Abraham Gotthelf Kästner (27 September 1719 - 20 June 1800), a Göttingen professor who was deeply interested in the Parallel Postulate and had discussed it at some length in his <i>Anfangsgründe der Mathematik</i> (1758). Kästner quickly recognized Klügel's talent for mathematics and persuaded him to devote himself exclusively to its study. At Kästner's suggestion Klügel took as the subject of his doctoral thesis a critical analysis of the attempts made thus far to prove the Parallel Postulate. Klügel had access to Kästner's impressive library of more than 7000 volumes (according to a catalogue of his library published in 1801), which contained virtually everything that had been written up to that time on the Parallel Postulate. The thesis, <i>Conatuum praecipuorum theoriam parallelarum demonstrandi recensio</i>, was defended on 20 August 1763. <br/><br/> Klügel's thesis criticized some thirty attempted proofs of the Parallel Postulate, organized as follows (we have indicated the authors and titles of the works in which the attempts are made, along with the sections of the text where Klügel considers them). Sections I, II and XV are devoted to general remarks. <br/><br/> §III Proclus, Posidonius, Ptolemy, in Euclid, <i>Elements</i> [Greek] (1533). <br/> §IV & V Girolamo Saccheri, <i>Euclides ab omni naevo vindicatus</i> (1733). <br/> §VI Christian August Hausen, <i>Elementa matheseos</i> (1734). <br/> §VII Nicola de Malezieu, <i>Élémens de Géométrie</i> (1722). <br/> §VIII Wenceslaus Karsten, <i>Mathesis theoretica elementaris</i> (1760). <br/> §VIIII Nasir-al-Din al-Tusi, printed version of a public lecture given by Wallis in Oxford in 1651, contained in John Wallis, <i>Opera mathematica</i>, Tom. II (1693). <br/> §X John Wallis, <i>Opera mathematica</i>, Tom. II (1693). <br/> §XI Wenceslaus Karsten. <i>Elementa matheseos universalis</i> (1756); Johann von Segner, <i>Vorlesungen über die Rechenkunst und Geometrie</i> (1747). <br/> §XII Wenceslaus Karsten, <i>Praelectiones Matheseos Theoreticae Elementaris</i> (1758). <br/> §XIII Samuel Koenig, <i>Élémens de Géométrie</i> (1758). <br/> §XIV Abraham Gotthelf Kaestner, <i>Anfangsgründe der Arithmetik, Geometrie, Trigonometrie und Perspective</i> (1758). <br/> §XVI Vitale Giordano, <i>Euclide restituto</i> (1680). <br/> §XVII Friedrich Gottlob Hanke, <i>Principia theoriae de infinito mathematico et demonstratio possibilitatis parallelarum</i> (1751). <br/> §XVIII Christoph Clavius, <i>Euclidis elementorum</i> (1591). <br/> §XIX Andre Tacquet, <i>Elementa geometriae</i> (1683). <br/> §XX Pietro Cataldi, <i>Opusculum de lineis rectis aequidistantibus et non aequidistantibus</i> (1603). <br/> §XXI Petrus Ramus, <i>Arithmeticae libri duo, geometriae septem</i> (1599). <br/> §XXII Christian von Wolff, <i>Elementa matheseos universalis</i>, Tom.1 (1730). <br/> §XXIII Friedrich Daniel Behn, <i>Dissertatio Mathematica Sistens Linearum Parallelarum Proprietates Nova Ratione Demonstratas</i> (1761). <br/> §XXIV Gaston Pardies, <i>Élémens de Géométrie</i> (1705). <br/> §XXV Alexis Clairaut, <i>Élémens de Géométrie</i> (1741); Joseph Sauveur, <i>Géométrie élémentaire et pratique</i> (1753); Charles-Etienne-Louis Camus, <i>Cours de mathématique, partie 2: Élémens de Géométrie</i> (1750); Joseph Boscovic, <i>Elementorum universae</i>, Tom. 1 (1754) <br/> §XXVI Pierre Varignon, <i>Élémens de mathématique</i> (1731). <br/><br/> Klügel's most detailed analysis is reserved for Girolamo Saccheri's <i>Euclides ab omni naevo vindicatus</i>, published in Milan in 1733. In this work, Saccheri denies the truth of the Parallel Postulate and draws a series of conclusions which, in retrospect, constitute many of the basic results of non-Euclidean geometry. Saccheri believed he had reached a contradiction, thus establishing the truth of the Parallel Postulate by <i>reductio ad absurdam</i>, but Klügel showed that he had done so by assuming certain properties of figures at infinite distance that are only known at finite distances. Despite its importance, Saccheri's work was not widely known, and it was largely via Klügel's thesis that its influence began to be felt. Johann Heinrich Lambert (1728-77) quotes Klügel's thesis in his important <i>Theorie der Parallellinien</i>, written in 1766 but not published until twenty years later, and probably learned of Saccheri's work from it. It is probable that Janos Bolyai learned of Saccheri's work from his father Farkas, who studied at Göttingen in 1796-8 and became interested in the parallel postulate under Kästner's influence; he will inevitably have been directed by Kästner to study Klügel's thesis. The other founder of non-Euclidean geometry, Nicolai Lobachevsky, Bonola (p. 92) speculates that he may also have learned about Saccheri's work via Klügel's thesis. Thus, Klügel's thesis provided the starting point for the most important developments in non-Euclidean geometry in the second half of the seventeenth and the first half of the eighteenth centuries. <br/><br/> NDB XII, p. 135; DSB VII 206-7 (Kästner) & 404-5 (Klügel). R. Bonola, <i>Non-Euclidean Geometry</i>, 1942; M. Kline, <i>Mathematical Thought from Ancient to Modern Times</i>, 1972. D. M. Y. Sommerville, <i>Bibliography of Non-Euclidean Geometry</i>, 1923, p. 9. OCLC lists six copies in Germany and one each in France and Switzerland (no copies in America). <br/><br/> The other works bound in the present volume are all by Abraham Gotthelf Kästner, except the last, which is a dissertation directed by him. <br/><br/> 1) <i>Theorema binomiale universaliter</i>. Göttingen: Pockwitz & Barmeier, 1758. 4to, pp. 14. VD18 10569669. See Poggendorff I, 1217; NDB X, 734. <br/> 2) <i>Unde plures insint radices aequationibus sectiones angulorum definientibus disquirit</i>. Göttingen: Schultz, 1756. 4to, pp. 47 with one plate. <br/> 3) <i>Formulam Cardani aequationum cubicarum radices omnes</i>. Göttingen: Pockwitz & Barmeier, 1757. 4to, pp. 18. <br/> 4) <i>Matheseos et Physices idea generalis in usum lectionum encyclopaedicarum. </i> Göttingen: Pockwitz & Barmeier, 1756. 4to, pp. 12. <br/> 5) <i>De eo quod studium matheseos facit ad virtutem. Oratio inauguralis</i>. Göttingen: Pockwitz & Barmeier, 1756. 4to, pp. 14. Kästner's inagural lecture on the ways in which mathematics can contribute to moral perfection. <br/> 6) <i>Elogium Tobiae Mayeri ... in concessu societatis scientiarum die XIII martii a. aer. Christ. MDCCLXII legit Abraham Gotthelf Kästner</i>. Göttingen: Schultz & Rosenbusch, 1762. 4to, pp. 16. Eulogy for the astronomer, physicist and geographer Tobias Mayer (1723-62), who compiled the first precise tables of the Moon's motion. After his death Kästner replaced Mayer as director of the Göttingen observatory. VD18 10930442. <br/> 7) Harless, Adolf Gottlieb Christoph. <i>De fato Homeri disputat et viro clarissimo Io. Henrico Schoenheidio Schwarzburgico-Rudolstadiensi summos in philosophia honores nomine eorum qui moderante ... Abrah. Gotthelf Kaestnero</i>. Göttingen: Schultz & Rosenbusch, 1762. 4to, pp. 12.. 4to, pp. [ii], xxx, [4], with one engraved plate of geometrical diagrams. Bound with six pamphlets by Abraham Gotthelf Kästner and one other dissertation directed by him in contemporary vellum-backed boards (generally a little worn, head of spine defective)

      [Bookseller: Sophia Rare Books]
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        Then stoormechtigste/ höghborne furstes och christelighe herres/ her Gustaffs/ fordom Sweriges/ Göthes/ och Wendes konungs etc.

      historia/ om hans kon. maytz lofflige regeringh och merckelige handlingar/ uthi twå deeler författad. Uthaff hwilcke then första inneholler och förmäler/ hwadh som sigh tildraget haffuer ifrån hans kon. maytz första regementz begynnelse/ in til thet åhret effter Christi födelse 1533. Men i then andra deelen/ warder handlat och tilkenna giffuit/ om thet som sigh sedhan in til hans kon. maytz sidsta dödzstundh förlupit haffuer. Korteligen och sanfärdheligen sammandragen och beskreffuen. Sthlm, C. Reusner, 1622. Folio. (12),324,(14) + (6),415,(9) s. Titelbladen tryckta i rött och svart. Med en träsnittsavbildning av Tegels vapen i slutet av andra delen. Trevligt ngt nött hfrbd från mitten av 1700-talet med upphöjda bind, sparsamt guldornerad rygg, svart infärgat titelfält och stänkta snitt. Pärmsidorna tämligen nötta. Inlagan ställvis småfläckig och med en del smärre revor i marginalerna, t.ex. på titelbladet till del I. En hel del äldre lagade revor, hål och hörn: i del I på s. (10)-3, 7-14, 19, 43-44 och 253; i del II på s. 313, 357 och 369 samt på s. 335-36 med mindre textförluster. De sista 25 sidorna i del II med eskalerande fuktfläckar och en tillplattad gråsugga i övre marginalen på det näst sista registerbladet. Ur Carl Gustaf Warmholtz bibliotek och med dennes anteckningar på försättsbladet. Med Skottorps exlibris.. Collijn Sveriges bibliografi 1600-talet 913-14. Warmholtz Bibliotheca historica Sueo-Gothica 3041. Med tryckta dedikationer till Gustav II Adolf och Maria Eleonora samt hyllningsskrifter av S. J. Phrygius, J. Dieterus, J. Lehus och två av J. Salvius. Historiken skrevs enligt Warmholtz på Karl IX:s befallning för att vederlägga uppgifter i Huitfeldts krönika om Kristian III. Tegel hämtade mycket stoff ur Peder Swarts krönika

      [Bookseller: Mats Rehnström]
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        CHRISTOPHORI LONGOLII ORATIONES DUAE PRO DEFENSIONE SUA AB LESAE MAIESTATIS CRIMINE, longe exaxctiori quante iudicio perscriptae, atque ex ipsius authoris sententia in lucem editae. CODICE BVEE009726 CATALOGO SEBINA OPAC), Paris, Typ. Ascensii & Ioannis Roigny, 1533

      cm. 16 x cm,10,5, elegante legatura settecentesca piena pergamena con titoli in oro su tassello al dorso, brillanti condizioni interne, pp. 316 + appendice titolata TABULAE IOHANNIS MURMELLII RV di XXXVIII (1 cc). che non risulta presente in nessuna delle poche edizioni di questo libro rintracciate in biblioteche italiane. L'autore principale CHISTOPHE DE LONGUEIL, fu tutore a Parigi del futuro Re Francesco (1515) e nello stesso periodo diede alle stampe questa orazione che sosteneva la superiorità francese sulla civiltà romana. Nel 1517 strinse amicizia con Pietro Bembo e Iacopo Sadoleto ma questo non impedi' che nei suoi confronti si scatenasse una forte campagna diffamatoria tanto che fu costretto a trasferirsi a Padova dove si spense a soli 32 anni. Edizione cinquecentesca di ottimo livello.

      [Bookseller: Libreria e Rivisteria Ferraguti]
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        METHODUS AELII DONATI ACCURATISSIME RECOGNITA. Cui adiectum est quicquid hactenus in eo desideratum fuit, per Iacobum Haecconium Vitodurensem.

      In-8 p. (mm. 205x150), cartonato rustico antico (dorso e risg. rifatti), cc.nn. 42., vignetta silografata al frontesp., con due eleganti grandi iniz. decorate, pure inc. su legno. ?Grammatica est certa loquendi & scribendi scientia. De octo partibus orationis?. Manca alle principali bibliografie. ?Elio Donato, grammatico latino (metà del IV sec. d.C.), autore del più completo corso di grammatica latina tramandatoci dagli antichi. Le sue grammatiche furono testo classico fino ai tempi moderni (sicché ?Donato? significò per antonomasia ?grammatica?)?. Così Dizionario Treccani,IV, p. 163. Pagg. uniformem. ingiallite per la qualità della carta, ma certamente ben conserv.

      [Bookseller: Libreria Antiquaria Malavasi]
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        Delle guerre de greci, et de persi. Tradotto per il conte Mattheo Maria Boiardo. Nuovamente stampato e corretto

      Venetia: Lelio Bariletto. [Volgare-Classici] (cm.15,2) Solida piena pergamena ottocentesca, titolo al dorso. ¿cc.8nn., cc.336. Grande marca tipografica al frontis con figura femminile e motto, registro e colophon in fine. Carattere corsivo e rotondo, capolettera figurati. Pregiata edizione volgarizzata dal Boiardo reputata dallo Zeno ¿meno cattiva¿ dopo la prima del 1533 alla quale seguirono mediocri ristampe. Le descrizioni del grande Erodono, denominato ¿filateniese¿ e padre della storia , sono così precise e vive da non lasciar dubbi che egli abbia realmente visitati quasi tutti i luoghi descritti. Schopenauer ci dice: ¿Chi ha letto Erodono non ha bisogno di leggere altra storia¿ Qualche insignificante alone all¿angolo di alcune carte, peraltro bell¿esemplare fresco e nitido., antica firma di appartenenza al frontis: ¿Corneille¿ non coeva. Manca a Gamba e BM.STC. * Paitoni II 23; *Argelati ¿Volgarizzatori¿ II 23; *Adams H 414.[f56] . ottimo. Rilegato. 1565.

      [Bookseller: Libri antichi e rari Francesco e Claudia]
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        Libri Quinque de Mensuris & Ponderibus: in quibus pleraque à Budaeo & Portio parum animadversa diligenter excutiuntur

      Woodcut printer&#39;s device on title (repeated on verso of final leaf, otherwise blank). 261, [9] pp. (lacking final leaf, a blank). Small 8vo, 17th cent. panelled calf (foot of upper joint & head of lower joint with short splits), fleurons in blind in each corner. Paris: C. Wechel, 1533. Second edition and a very fine copy, of one of Agricola&#39;s most important books which became a standard work on ancient weights and measures. It is "a valuable book of reference on the history of ancient measures...The book is also valuable to the student of Roman and Greek numerals, and of the various symbols of measures. Such works explain the origin of certain systems of measures employed before the metric system was developed, and of such symbols as are still used by apothecaries."-Smith, Rara Arithmetica, pp. 171-73-(who, like several other bibliographers, including the Hoovers, describes this in error as the first edition). Besides these subjects, Agricola treats the value of metals of all kinds and of money both in ancient and modern times. The first edition appeared in the same year at Basel. A fine copy bound after C.S. Apollinaris Sidonius&#39; Opera (Lyons: 1552). On the title of this work is the ownership inscription of Minims&#39;s convent at Chateaudun, dated 1652. &#10087; Darmstaedter, G. Agricola, pp. 71-74-"especially important for the historian of medicine." .

      [Bookseller: Jonathan A. Hill, Bookseller, Inc.]
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        EPISTOLAE HEROIDUM. Novissime recognitae aptissimisque figuris exculte. Commentantibus Volsco, Ubertino et Ascensio. Nec non in Sappho et Ibin domitio, eodemque Ascensio viris doctissimis.

      In-16 gr. (mm. 199x139), p. pergam. antica con legacci, tit. mss. al dorso, 2 cc.nn. (frontesp. e Indice), CXXXIII cc.num. (ma 137), 1 c.b. Bella edizione dell?epistolario poetico di Ovidio, così illustrata: frontespizio in ricca bordura decorata su fondo nero, 22 vignette nel t. di cui 3 grandi entro cornice, numerosi eleganti capilettera ornati su fondo nero, tutto inc. su legno. Il testo (lettere amorose di eroine antiche) è ampiamente commentato. "Seconda edizione" stampata dal Paganini. Cfr. Brunet,IV,278 per l?ediz. Tridino, 1516: ?Cette édition, imprimée en caractères fort menus, contient un copieux commentaire qui environne le texte à chaque page.. C?est d?après cette edition qu?a été faite celles de Tusculanum, 1525 et 1533, qui forme le 5e vol. de l?Ovide imprimé in aedibus Alex. Paganini? - Brunet/Deschamps, p. 1274: ?Un célèbre et nouvel imprimeur de Venise, Alessandro Paganini, qui s?était établi à Salo en 1517, choisit le village de Toscolano pour y fonder un établissement durable (1521-1533); ce fut là qu?il fit usage de ces caractères gothiques bizarres, qui n?appartiennent qu?à lui..? - The British Library, p. 480 - Sander,5289 (in Nota) e Essling,1156 citano un?ediz. di Paganini del 1538. Fori di tarlo margin. su ca 30 cc.; margine sup. rifilato (talvolta intacca la parola di tit.); con lievi aloni e tracce d?uso interc. nel t., ma complessivam. un buon esemplare.

      [Bookseller: Libreria Antiquaria Malavasi]
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        [Greek:] Elementa geometriae

      Johann Herwagen With woodcut device on title and colophon, decorated woodcut border to first page of text and numerous woodcut diagrams. Contemporary English calf, neatly rebacked, remains of ties, later endpapers. A very good copy. Editio princeps of Euclid's Elements and of the important commentary by Proclus on the first book. The first printing of Euclid in 1482 was a Latin translation from an Arabic manuscript, but the original Greek text did not appear for a further half-century. The Greek text was edited by Simon Grynaeus, a German Protestant theologian and philologist. This edition is also important for the innovation of geometrical diagrams within the text, rather than in the margins as had been the case with the earlier printed editions. The commentary by the Neoplatonist mathematician and philosopher Proclus on the first book of the Elements is the earliest extant criticism of Euclid's fifth postulate on the existence of parallel lines, the study of which led, after a further fifteen hundred years of effort, to the discovery of non-Euclidean geometry by Gauss, Bolyai and Lobachevsky. It is also the first printing of the earliest work on the philosophy of mathematics. "Because of his interest in the principles underlying mathematical thought and their relation to ultimate philosophical principles, Proclus' commentary is a notable - and also the earliest - contribution to the philosophy of mathematics. Its numerous references to the views of Euclid's predecessors and successors, many of them otherwise unknown to us, render it an invaluable source for the history of science" (DSB).

      [Bookseller: B & L Rootenberg Rare Books & Manuscript]
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        STOICHEION BIBL. IE' EK TON THEONOS SYNOUSION. Eis tou autou to proton, exegematon Proklou bibl. d. (Greek). (Elementa geometriae). 1533.

      Basel, Johannes Herwegen, 1533. Folio. (323x220 cm). Cont. full blind-tooled calf with a broad border of ornamental rolls with corner-pieces, inside which an oblique blind-tooled parallelogram and a rectangular tooled decoration, also with corner-pieces. Professionally rebacked in old style, w. seven raised bands blindstamped ornamentations to all compartments. Corners professionally and neatly restored. (12), 268; 115, (1) pp. incl. last page with large woodcut printer's device. Numerous woodcut diagrams in the text. The last page of Grynaeus' foreword with a half-page note on Euclid, Proclus and Grynaeus in 18th century hand. One contemporary marginal note. First 3 leaves with faint finger-soiling to lower right corner. The text framed throughout by a decorative but faint ink-border. Verso of title-page with 2 small stamps. Title with woodcut printer's device. The first text-page framed with a broad woodcut border, many smaller and larger woodcut initials throughout. Internally a very fine and clean copy w. wide margins.. The monumental editio princeps of the "Elements" of Euclid, "the greatest mathematical textbook of all times", being the first printing of the original Greek text, including the first printing of Proclus' seminal commentary to the first book (the so-called "Herwagiana"). The present editio princeps constitutes one of the most important publications in the history of scientific (and philosophical) thought, and it profoundly influenced Renaissance, and in turn all modern, thought. The first printing of the original Greek text of the "Elements", which is edited by the famous Basel-professor of Greek Simon Gryneaus the elder, served as the basis for all later texts and translations of the "Elements" until the nineteenth century. Proclus's seminal commentary to the first book, which had never been printed before, is considered the earliest contribution to the philosophy of mathematics and "one of the most valuable documents in ancient philosophy" (Morrow, p. XXXII). It profoundly influenced Renaissance and modern readings of Euclid's Elements and is responsible for the role that this magnum opus came to play during the Renaissance. It is not until Proclus (ca. 410-485), the great Neoplatonist, applies Plato's manner of thinking to Greek geometry that it achieves completion as a real system. His view of mathematics as part of a larger system of thought was perfectly in tune with the currents of Renaissance thought, and with the commentary of Proclus, the Renaissance student of Euclid was carried beyond the ostensible boundaries of mathematics into the paths of cosmological and metaphysical speculation, paving the way for these fields in modern thought. But Proclus' commentary is not only of seminal importance to the antique and Renaissance interpretation of the work, it also provides us with invaluable information regarding geometers and the history of geometry prior to Euclid. "Its numerous references to the views of Euclid's predecessors, many of them otherwise unknown to us, render it an invaluable source for the history of science." (DSB, pp. 160-61). "These numerous and sometimes very extended references to opinions and accomplishments of his predecessors, taken together with the material rescued from Eudemus's early history of geometry, make Proclus' "Commentary" a priceless source of information regarding the geometry of the previous nine or ten centuries." (Morrow. p. XXVIII). -"Yet the value of the matter it contains regarding the foundations of mathematics and geometry in particular is even greater, though less widely recognized." (Morrow, p. XXXII). Proclus here explains the meaning of "Element" in geometry, he states the theoretical and pedagogical purposes of an elementary treatise, and offers a striking evaluation of the excellence of Euclid's own work. Futhermore, he famously defends pure mathematics, and geometry in particular, against its critics, and includes an important interpretation of the attitude of Plato, who was often used by these critics, against mathematics. Proclus furthermore raises questions that are absolutely fundamental to the understanding of both Plato and the science of Euclid, namely what the nature of the objects of mathematic enquiry is, and what the validity of the procedures used to handling them are. Posing these absolutely fundamental problems for the first time makes Proclus the first real philosopher of mathematics. "Proclus' treatise is the only systematic treatise that has come down to us from antiquity dealing with these questions". (Marrow, p. XXXIII). Proclus' commentary, which takes up the second part of the book, pp. 1-115, is also known as the "Herwagiana", named after the printer. Apart from the above-mentioned elements of the commentary, it also constitutes the first criticism of Euclid to question the "Parallel-axiom", - hereby paving the road to "NON-EUCLIDEAN GEOMETRY". Proclus was the first commentator to be very explicit about his objection to the Parallel axiom, as he refused to count it among the postulates. To justify his opinion he remarks that the converse (the sum of two angles is less than that of two right angles), is one of the theorems proved by Euclid (Book I. Prop. 17), and he thinks it impossible that a theorem, the converse of which can be proved, is not itself capable of proof. He says: "This (postulate) ought even to be struck out of the postulates altogether; for it is a theorem involving many difficulties, which Ptolemy, in a certain book, set himself to solve, and it requires for the demonstration of it a number of definitions as well as theorems, and the converse of it is actually proved by Euclid himself as a theorem." - Proclus' proof, taking up another axiom, was essentially correct, but he substituted one questionable axiom for another. (Se Bonola: Non-Euclidean Geometry). It goes without saying that Euclid's treatise itself, the "Elements" also directly influenced all scientific thought ever since its appearance. The exemplary role of geometry after Euclid enjoyed uncontested supremacy for centuries, until the discovery of non-Euclidean geometry introduced entirely new questions for mathematical thought and forced it to a new interpretation of its own logical structure."There are few books that have played a larger part in the thought and education of the Western world than Euclid's "Elements". For more than twenty centuries it has been used as an introduction to geometry, and only within the last hundred years has it begun to be supplemented, or supplanted, by more modern textbooks. "This wonderful book", writes Sir Thomas Heath, "with all its imperfections, which indeed are slight enough when account is taken of the date at which it appeared, is and will doubtless remain the greatest mathematical textbook of all times. Scarcely any other book except the Bible can have been circulated more widely the world over, or been more edited and studied"." (Morrow, pp. XXI-XXII)."The most famous source of Greek geometry is the monumental work of Euclid of Alexandria, called the "Elements" (around 300 B.C.). No other book of science had a comparable influence on the intellectual development of mankind. It was a treatise of geometry in thirteen books which included all the fundamental results of scientific geometry up to his time. Euclid did not claim for himself any particular discovery, he was merely a compiler. Yet, in view of the systematic arrangement of the subject matter and the exact logical procedure followed, we cannot doubt that he himself provided a large body of specific formulations and specific auxiliary theorems in his deductions. It is no longer possible to pass judgment on the authorship of much of this material; his book was meant as a textbook of geometry which paid attention to the material, while questions of priority did not enter the discussion" (Cornelius Lanczos in "Space through the Ages"). Riccardi 1533.1 - Thomas-Stanford No 7 - Max Steck III:29. - Adams E 980. - Dibdin I:519. - As to Proclus: Stillwell No 210

      [Bookseller: Lynge & Søn A/S]
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        De triangulis planis et sphaericis libri quinque : una cum tabulis sinuum, in quibus tota ipsorum triangulorum scientia ex primis fundamentis geometricarum ... continentur, quam multiplicem usum haec triangulorum doctrina omnibus ... adferat ... qui sana rerum intelligentia sunt instructi, in sequenti opere, quod complectitur ordinata astronomicorum et geometricorum problematum descriptionem (autore D. Santbech) ... deprehendere poterunt. (Tractatus Georgii Peurbachii super propositiones Ptolomaei de sinubus et chrodis) omnia nunc simul in lucem edita in gratiam matheseos studiosorum per Danielem Santbech.Basel: Heinrich Petri & Peter Perna, 1561.

      Rare augmented edition of "the first systematic treatise on plane and spheric trigonometry to be published in Europe. Although it drew heavily on Arabic sources, those earlier treatises had been either lost or forgotten by 1533 when Regiomontanuss work was first printed. Among the notable contents of this work are the sine law and perhaps the first European application of algebra to trigonometry. Indeed with <i>De triangulis</i> trigonometry was established as an independent discipline. Regiomontanus' original purpose, however, had been to furnish astronomers with a mathematical technique essential for their studies, and in this <i>De triangulis</i> had a success perhaps greater than its author could have dreamed of. For in 1539 Georg Joachim Rheticus presented a copy of the work's 1533 edition as a gift to Copernicus. The great astronomer had already written the trigonometrically-based portion of his <i>De Revolutionibus</i> without knowledge of his predecessor's treatise. After reading the new book, Copernicus modified the presentation of several of his own indispensable theorems by inserting two leaves in the manuscript of the <i>De Revolutionibus</i>. Hence, Rheticus' remark that Regiomontanus began the reconstruction of astronomy that Copernicus completed takes on a fuller meaning" (Rose, The Italian Renaissance of Mathematics, pp. 99-100).<br/><br/> This edition is augmented by two early allied treatises: 'Tabula sinuum ad 6000000 partes per I. de Regiomonte computata' and 'Tractatus super propositiones Ptolemaei de sinubus et chordis' by Peurbach. These contain trigonometric tables etc., not present in the first edition. This edition is also immeasurably improved by the extended treatise of Santbech, appearing here for the first time, which contains a wealth of information about astronomy in the first years after Copernicus. It addresses the use of instruments for astronomical observations, and the solution of various problems in measurement making use of the doctrine of triangles given in the first part, as well as occasionally citing Copernicus (e.g. pp. 46, 52). <br/><br/> The writing of <i>De Triangulis</i> was completed by 1464 but it was first published in 1533 at Nuremberg by Johann Schöner. A second edition of this work, published in 1541, contained the first appearance of the two additional tracts by Regiomontanus and Peurbach included here (but not the Santbech) and appears to be so rare that even Zinner, who cites it (no. 1900), gives it the wrong date (Basel, 1546) and may never have seen a copy. <br/><br/> Adams R-281; see Stillwell, Awakening 218; Cockle, Military Books, p. 23; see PMM 40; DSB 11: 348-52 & 15:478.. Folio (), pp [xvi] 146 [38]; [20] 294 [2]. Woodcut initials and numerous woodcut diagrams in text. Contemporary vellum (hinge of title and final leaf mended, some light occasional browning)

      [Bookseller: Sophia Rare Books]
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        Astronomicon Lib. VIII. per Nicolavum Prucknerum Astrologum nuper ab innumetis mendis uindicati.....Claudii Ptolemaei.....Quadrupartitum vocant, Lib. IIII......Ex Arabicus et Chaldeis.... (3 Parts).

      Basel, J. Hervagius, 1533. Folio. Beautiful manuscript-binding, made of large double manuscript leaf from the 13th century (?), double-columned in red and black/ brown ink. Initials and remains of larger red and blue illumination. The block has been professionally restored, renewing the vellum-cords and preserving the old covers. (16),244,143,(89) pp. Last page with woodcut printer's device. Some woodcuts in the text and fine wood-cut initials throughout. Some annotations in old hand on title-page and some contemporary annotations in margins, mainly on the first ab. 25 leaves. Fine and in general clean, probably due partly to some gentle washing during the restoration stage.. Scarce and early edition (first issued in Venice 1497 and by Aldus 1499) of the author's famous "Mathesis" (forming the first part of the present edition). It has been called "the most comprehensive handbook of astrology to come down to us from antiquity" (Franz Boll). "Compiled as a handy guide for practioneers of the art, it best represents popular traditions of the previous four centuries (before ca. 350) and bears little resemblance to Ptolemy's quasi-scientific manual of astrology, the Quadripartitum...Firmicus' citations include the legendary Hermes, Orpheus, Abrahem, Petosiris, Nechepso, and Aesculapius". (DSB). Firmicius' work is called the Mathesis, and is a large work in eight books, written in Latin for Roman audience (middle 4th Century). It draws on many of the earliest Hellenistic sources and writings of the Hermetic tradition, and preserves much material not found elsewhere. From a practical astrological perspective, it is the largest single source of delineation text, treating of planets in houses, aspects, applications and separations of the Moon, decennials etc. Brunet II:1270. - Houzeau & Lancaster: 761. - Wellcome: 2308 (listing only the later edition from the same printer 1551)

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        Fiammetta. in fiorenza, per bernardo di philippo di giunta, 1533.

      In-8° (155x102mm), ff. 110, (2), cartonatura alla bodoniana di fine '700 o di inizio '800 con titolo calligrafato all'epoca al dorso. Spazi guida per le iniziali. Registro ed explicit alla c. 110v. A essa seguono due cc. bianche e, al verso della seconda, è incisa la marca tipografica dei Giunti. Sparse fioriture e bruniture. Un'antica firma in parte cassata. Buon esemplare nel complesso. Rara reimpressione giuntina, esemplata sulle precedenti edizioni del 1517 e del 1524, del celebre romanzo psicologico-amoroso boccacciano, la cui protagonista è quella stessa Fiammetta, al secolo Maria d'Aquino, figlia del Re Roberto, che lo scrittore aveva amato durante il suo soggiorno napoletano. Bacchi della Lega, 111. Decia / Delfiol, 229. Bandini, II, 231. Brunet, I, 232. Graesse, I, 452, nota. Razzolini, p. 65. Gamba, 195: ""Edizione prescelta dagli Accademici"". Zambrini, 155. Mostra del Boccaccio II, 81. Non in Adams.

      [Bookseller: Studio Bibliografico Benacense]
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