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‎Bacon, Roger edited and translated by Michael-Albion Macdonald‎

‎De Nigromancia of Roger Bacon‎

‎Gillette NJ: Heptangel Books 1988. First edition. Hardcover. Very good/very good. Thin octavo standard size. Slight wear to edges and corners of boards and dust jacket. Dust jacket has a few smudges. Boards and spine have some light spotting and scuffing. Slight siling to top edges fo text block. Interior near fine. 96 pages letterpress printed in rich thick Old English gothic font with red and blue capitals and index. This is a modern translation of De Nigromancia Concerning the Black Art a Latin manuscript falsely attributed to Bacon which appeared in the 16th c. The work is primarily concerned with summonings of wraiths demons and other hellish beings. <br/><br/> Heptangel Books hardcover‎

書籍販売業者の参照番号 : 21025

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Motte & Bailey, Booksellers
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€ 274.98 購入

‎Bacon, Roger‎

‎De Retardatione Accidentium Senectutis Cum Aliis Opusculis De Rebus Medicinalibus‎

‎Printed at The University Press 1928. Very Good. Bacon Roger. De Retardatione Accidentium Senectutis Cum Aliis Opusculis De Rebus Medicinalibus. Oxford: Printed at The University Press 1928. 224pp. Glossary. 8vo. Brown cloth with gilt lettering on backstrip. Book condition: Very good with subtly rubbed and bumped edges. Small letters and numbers inked on backstrip. Text in Latin with notes in English. British Society of Franciscan Studies Volume XIV. Printed at The University Press hardcover‎

書籍販売業者の参照番号 : RBACDER00EC

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Weller Book Works ABAA/ILAB
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€ 84.61 購入

‎Bacon, Roger‎

‎Experimental Science‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1161586644.G ISBN : 1161586644 9781161586640

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Bonita
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€ 52.15 購入

‎Bacon, Roger‎

‎Fr. Rogeri Bacon Opera Quædam Hactenus Inedita Ed. By J.s. Brewer‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 124720295X.G ISBN : 124720295X 9781247202952

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Bonita
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€ 51.38 購入

‎Bacon, Roger‎

‎Fr. Rogeri Bacon Opera quaedam hactenus inedita‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1108042457.G ISBN : 1108042457 9781108042451

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Bonita
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€ 111.20 購入

‎Bacon, Roger‎

‎Fratis Rogeri Bacon Ordinis Minorum Opus Majus Ad Clementem Quartum Pontificem Romanum‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1378341864.G ISBN : 1378341864 9781378341865

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Bonita
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€ 45.00 購入

‎Bacon, Roger‎

‎Fratris Rogeri Bacon ordinis minorum opus majus ad Clementem quartum pontificem romanum. Ex MS. codice Dubliniensi cum aliis quibusdam collato nunc primum editit S. Jebb M.D. Latin Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1140844156.G ISBN : 1140844156 9781140844150

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Bonita
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€ 62.28 購入

‎Bacon, Roger‎

‎Fratris Rogeri Bacon ordinis minorum opus majus ad Clementem quartum pontificem romanum. Ex MS. codice Dubliniensi cum aliis quibusdam collato nunc primum editit S. Jebb M.D. Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 137947146X.G ISBN : 137947146X 9781379471462

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Bonita
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€ 57.50 購入

‎BACON, Roger, Frier Bacon [1214?-1294].:‎

‎FRIER BACON HIS DISCOVERY OF THE MIRACLES OF ART NATURE And MAGIC. Faithfully translated out of Dr Dees own copy by T.M. and never before in English.‎

‎<p>London printed for Simon Miller at the Starre in St Pauls Church-yard 1659. FIRST ENGLISH EDITION 1659 small book 12mo approximately 130 x 80 mm 5¼ x 3 inches pages: 12 1-51 plus 7 pages of publisher's adverts endpapers replaced at sometime collates as ESTC R10803. Bound in full calf rebacked using original spine gilt title marbled endpapers. Slight rubbing to hinges tips of corners worn with board just showing top margin slightly trimmed affecting running title on 9 pages pale browning to title page and following page tiny rust hole to second page of adverts affecting 1 word recto and 1 letter veso pages 17-19 have neat old ink name against the experiment otherwise a very good copy. A student of Aristotle Roger Bacon was one of the earliest European proponents of experimental research. His writings are also notable for including descriptions of vehicles flying machines diving bell etc. See: A Catalogue of Printed Books in the Wellcome Library Volume 2 page 83; George Thomason Catalogue of books relating to the English Civil War Volume 2 page 274 E. 1932 1. MORE IMAGES ATTACHED TO THIS LISTING ALL ZOOMABLE FURTHER IMAGES ON REQUEST. POSTAGE AT COST.</p> London, printed for Simon Miller at the Starre in St Pauls Church-yard, 1659. hardcover‎

書籍販売業者の参照番号 : 52245

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Roger Middleton
United Kingdom Reino Unido Reino Unido Royaume-Uni
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€ 5,480.64 購入

‎Bacon, Roger‎

‎l'EXPERIENCE Physique French Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1025481852.G ISBN : 1025481852 9781025481852

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Bonita
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€ 64.91 購入

‎Bacon, Roger‎

‎l'EXPERIENCE Physique French Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1025484312.G ISBN : 1025484312 9781025484310

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Bonita
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€ 51.38 購入

‎Bacon, Roger‎

‎Lettre Sur Les Prodiges: De La Nature Et De L'Art 1893 French Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 116889980X.G ISBN : 116889980X 9781168899804

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Bonita
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€ 51.16 購入

‎Bacon, Roger‎

‎Lettre Sur Les Prodiges: De La Nature Et De L'Art 1893 French Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1162449675.G ISBN : 1162449675 9781162449678

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Bonita
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€ 51.16 購入

‎Bacon, Roger,‎

‎Mathematics‎

‎like new. unknown‎

書籍販売業者の参照番号 : 4147814 ISBN : 1425349862 9781425349868

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GreatBookPrices
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€ 54.22 購入

‎Bacon, Roger‎

‎Mathematics‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 116291467X.G ISBN : 116291467X 9781162914671

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Bonita
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€ 49.51 購入

‎Bacon, Roger‎

‎Mathematics‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1425349862.G ISBN : 1425349862 9781425349868

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Bonita
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€ 49.51 購入

‎Bacon, Roger‎

‎Moral Philosophy‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1425349897.G ISBN : 1425349897 9781425349899

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Bonita
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€ 42.74 購入

‎Bacon, Roger‎

‎Moral Philosophy‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1161600663.G ISBN : 1161600663 9781161600667

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Bonita
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€ 59.66 購入

‎Bacon, Roger - Eugenio Massa (Hg)‎

‎Moralis philosophia. Post Ferdinand Delorme O. F. M. critice instruxit et edidit E. Massa.‎

‎Zürich Thesaurus Mundi 1953. 8° XLIII 293 S. Brosch. m. OU OU min. beschienen u. unsauber Papier min. gebräunt innen tadelloses unaufgeschnittenes Ex. EA dieser Ausgbe. = Baconis opera maioris Bd. 7. Vorwort und Text lat. 010 Zürich, Thesaurus Mundi, 1953 unknown‎

書籍販売業者の参照番号 : 79373

‎Bacon, Roger‎

‎On Signs Mediaeval Sources in Translation‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 0888443048.G ISBN : 0888443048 9780888443045

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Bonita
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€ 46.54 購入

‎Bacon, Roger‎

‎On Signs: Opus Maius Part 3 Chapter 2‎

‎Pontifical Inst of Medieval studies 2013. Paperback. New. translation edition. 147 pages. 9.25x6.25x0.50 inches. Pontifical Inst of Medieval studies paperback‎

書籍販売業者の参照番号 : 1-0888443048 ISBN : 0888443048 9780888443045

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Revaluation Books
United Kingdom Reino Unido Reino Unido Royaume-Uni
[この書籍販売業者の本を検索: Revaluation Books]

€ 48.40 購入

‎Bacon, Roger‎

‎Opera hactenus inedita Rogeri Baconi; Volume 3 Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1021163678.G ISBN : 1021163678 9781021163677

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Bonita
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€ 56.01 購入

‎Bacon, Roger‎

‎Opera Hactenus Inedita; Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1021015253.G ISBN : 1021015253 9781021015259

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Bonita
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€ 59.28 購入

‎Bacon, Roger‎

‎Opera Hactenus Inedita; Latin Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1022588486.G ISBN : 1022588486 9781022588486

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Bonita
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€ 45.00 購入

‎Bacon, Roger‎

‎Opera Hactenus Inedita Rogeri Baconi Vol. 13: Questiones Supra Libros Octo Physicorum Aristotelis Classic Reprint Latin Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 0282217258.G ISBN : 0282217258 9780282217259

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Bonita
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€ 50.94 購入

‎Bacon, Roger‎

‎Opera Hactenus Inedita Rogeri Baconi Vol. 13: Questiones Supra Libros Octo Physicorum Aristotelis Classic Reprint Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 0666714991.G ISBN : 0666714991 9780666714992

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Bonita
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€ 64.13 購入

‎Bacon, Roger‎

‎Opera hactenus inedita; Volume pt. 6-7 Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1024402304.G ISBN : 1024402304 9781024402308

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Bonita
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€ 58.52 購入

‎Bacon, Roger‎

‎Opera hactenus inedita; Volume pt. 6-7 Latin Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 1024407306.G ISBN : 1024407306 9781024407303

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Bonita
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€ 45.00 購入

‎Bacon, Roger,‎

‎Opera Hactenus Inedita‎

‎like new. unknown‎

書籍販売業者の参照番号 : 46564964 ISBN : 1021015253 9781021015259

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GreatBookPrices
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€ 55.89 購入

‎Bacon, Roger‎

‎Opera hactenus inedita; Volume 5 Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1016747403.G ISBN : 1016747403 9781016747400

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Bonita
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€ 54.12 購入

‎Bacon, Roger‎

‎Opera Hactenus Inedita Rogeri Baconi: Metaphysica Fratris Bogeri 1905‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1161717633.G ISBN : 1161717633 9781161717631

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Bonita
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€ 51.16 購入

‎Bacon, Roger‎

‎Optical Science‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1161600337.G ISBN : 1161600337 9781161600339

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Bonita
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€ 57.50 購入

‎Bacon, Roger‎

‎Optical Science‎

‎Kessinger Publishing. Used - Like New. Used - Like New. Book is new and unread but may have minor shelf wear. Ships from UK in 48 hours or less usually same day. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry. Kessinger Publishing unknown‎

書籍販売業者の参照番号 : Z1-U-009-00849 ISBN : 1425349870 9781425349875

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Phatpocket Limited
United Kingdom Reino Unido Reino Unido Royaume-Uni
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€ 43.83 購入

‎Bacon, Rogerus‎

‎Opus Maius Ad Clementem Iv Pontificem Romanum Latin Edition‎

‎paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. paperback‎

書籍販売業者の参照番号 : 128653366X.G ISBN : 128653366X 9781286533666

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Bonita
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€ 45.74 購入

‎Bacon, Roger/ Burke, Robert Belle (Translator)‎

‎Opus Majus Volumes 1 and 2‎

‎Univ of Pennsylvania Pr 1928. Hardcover. New. combined edition. 856 pages. 9.50x6.50x2.25 inches. Univ of Pennsylvania Pr hardcover‎

書籍販売業者の参照番号 : x-1512809993 ISBN : 1512809993 9781512809992

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Revaluation Books
United Kingdom Reino Unido Reino Unido Royaume-Uni
[この書籍販売業者の本を検索: Revaluation Books]

€ 141.10 購入

‎Bacon, Roger,‎

‎Opus Majus Volumes 1 and 2‎

‎new. unknown‎

書籍販売業者の参照番号 : 29654772-n ISBN : 1512809993 9781512809992

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GreatBookPrices
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€ 90.75 購入

‎Bacon, Roger,‎

‎Opus Majus Volumes 1 and 2‎

‎like new. unknown‎

書籍販売業者の参照番号 : 29654772 ISBN : 1512809993 9781512809992

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GreatBookPrices
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€ 89.06 購入

‎Bacon, Roger‎

‎Opus Majus Volumes 1 and 2‎

‎University of Pennsylvania Press 1928-01-29. Combined. hardcover. New. 6.50x2.25x9.50. Buy with confidence. Excellent Customer Service & Return policy. University of Pennsylvania Press hardcover‎

書籍販売業者の参照番号 : DADAX1512809993 ISBN : 1512809993 9781512809992

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Ergodebooks
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€ 84.54 購入

‎Bacon, Roger‎

‎Opus Majus Volumes 1 and 2‎

‎University of Pennsylvania Press 1928-01-29. Combined. hardcover. Used: Good. 6.50x2.25x9.50. Buy with confidence. Excellent Customer Service & Return policy. University of Pennsylvania Press hardcover‎

書籍販売業者の参照番号 : SONG1512809993 ISBN : 1512809993 9781512809992

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Ergodebooks
United States Estados Unidos Estados Unidos États-Unis
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€ 83.65 購入

‎Bacon, Roger‎

‎Part of the Opus tertium of Roger Bacon including a fragment now printed for the first time; Volume 4 Latin Edition‎

‎hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book. hardcover‎

書籍販売業者の参照番号 : 1021035440.G ISBN : 1021035440 9781021035448

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Bonita
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€ 47.64 購入

‎BACON, Roger‎

‎Perspectiva. In qua quae ab aliis fuse traduntur succincte nervose & ita pertractantur ut omnium intellectui facile pateant. Nunc primum in lucem edita. Opera & studio Joannis Combachii.‎

‎Frankfurt 1614. 4to. Wolffgang Richter for Antonius Hummius Modern plain paper boards red edges. With 8 full-page woodcuts printed on both sides of four leaves inserted as plates and numerous woodcut figures and illustrations in text several full-page. 8 189=205 1 blank pp. First edition of a famous work on optics by the English natural philosopher and mathematician Roger Bacon ca. 1220-ca. 1292. Bacon was well read in Arabic and ancient Greek sources on optics and perspective a subject hardly studied in Europe during the earlier Middle Ages. The main sources for his theories were the writings of Euclid Ptolemy and Alhazen Ibn al-Haytham and he followed Robert Grosseteste concerning the importance of light and in his emphasis on the use of lenses not only for burning but also for magnification to aid natural vision. Bacon advised magnifying glasses for old people as well as for people with weak eyes. The Perspectiva belonged to Bacon's Opus maius compiled in manuscript in 1266-1267. The present edition was based on a medieval manuscript and was edited by Johann Combach 1585-1651 professor of philosophy at Marburg in GermanyWith a stain on the title-page and two on the last blank probably from removing old stamps browned throughout with a few small spots but overall in good condition. Binding with some water stains but otherwise good.l DSB I pp. 377-384; Poggendorff I 468; STC German 17th Century B 53; VD17 23:236968W; cf. Kemp The science of art pp. 26 211 and 269; Vagnetti DB5. hardcover‎

書籍販売業者の参照番号 : 6937

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Asher Rare Books
Netherlands Países Bajos Holanda Pays-Bas
[この書籍販売業者の本を検索: Asher Rare Books]

€ 9,500.00 購入

‎BACON, Roger‎

‎Perspectiva in qua quæ ab aliis fuse traduntur succincte neruose & ita pertractantur ut omnium intellectui facile pateant . Edited by Johann Combach. Bound with: Specula mathematica: in qua de specierum multiplicatione earundemque in inferioribus virtute agitur: liber omnium scientiarum studiosis apprime utilis . Edited by Johann Combach‎

‎Frankfurt: Wolfgang Richter for Anton Humm 1614. First edition. <p>First editions of these two rare works on optics by the 'Doctor Mirabilis' Roger Bacon. The Perspectiva deals with the physiology of the eye and the geometrical optics of mirrors and lenses while the Specula mathematica presents Bacon's theory of the propagation of light. "In the Specula Bacon "outlined a quantitative theory of any propagation along straight lines and so arrived at the inverse square law at least implicitly since he attributed the weakening of the action with distance to the decrease in the cone solid angle under which the acted-on body is seen by the agent" Russo.</p>. anticipated the inverse square law four centuries before Newton. <p>First editions of these two rare works on optics by the 'Doctor Mirabilis' Roger Bacon 1214/1220-1292 - 'perspectiva' for Bacon had a different meaning from today's 'perspective'. Bacon's "skill in mathematics experimental science and mechanical inventions was so remarkable for his time that . he acquired the reputation . of being a magician" Ferguson Bibliotheca Chemica I p. 65. It is appropriate that the Perspectiva and Specula mathematica are here bound together not only because they have the same publisher and date but because the subjects treated in the two works are complementary. The Perspectiva deals with the physiology of the eye and the geometrical optics of reflection and refraction while the Specula mathematica presents Bacon's theory of the propagation of light. Remarkably the latter work anticipates the inverse square law normally ascribed to Newton four centuries after Bacon. "Bacon's major claim to fame in science is that he is the first Latin Western thinker to comprehend and write on most of the ancient sources of optics. In brief he initiates the tradition of Optics/Perspectiva in the Latin world. This tradition would be formulated as teaching texts by his contemporaries Pecham and Witelo. Bacon's optics was also read and commented on in 14th century Italy especially by Lorenzo Ghiberti. It was known to and used by Leonardo Da Vinci. And it was part of the tradition of learning that led to Kepler and Descartes. In his Perspectiva and De scientia experimentali Bacon outlines a sketch for a scientific method one that takes optics as the model for an experimental science. In fact he succeeded in his endeavor in that perspectiva was added to the four traditional university subjects of the quadrivium: arithmetic geometry astronomy music" Stanford Encyclopedia of Philosophy. Part I 'Distinctio I' of the Perspectiva deals with the anatomy of the eye and the optic nerve. Bacon realised that seeing involved not just the eye but the brain and following Avicenna he divides the brain into 'cells'. In Part II Bacon recounts a whole range of optical phenomena - long sight near sight errors of vision clarity of vision on the moon on our perceptions of magnitude and so on all drawing on a wide variety of earlier sources and on experimentation. Part III deals with reflection and refraction discussing the geometry of the former in various sorts of mirrors showing a good understanding of focal point and focal plane. The Perspectiva concludes with Bacon's treatise De speculis comburentibus a commentary on the last proposition of Euclid's De speculis by means of an analysis of burning mirrors and the passage of light through small apertures. The Specula mathematica contains a long discussion of the usefulness of mathematics "the door and key to all knowledge" p. 2 but most importantly includes his treatise De specierum multiplicatione which "is acknowledged by him as the key to his Optics" ibid. It is in this work that Bacon discusses radiation. As Lindberg puts it "This is a complete physical and mathematical analysis of the radiation of force - and thus of natural causation." The Perspectiva and Specula mathematica formed parts V and IV respectively of Bacon's six-part Opus majus composed in 1266-67 but not published in its entirety until 1733. But both were soon disseminated as separate works and they served as important textbooks throughout the 14th to 16th centuries. The reason for their late publication is unknown.</p> <br /> <p>"Nobody contributed more to the development of the science of perspectiva in the West than Roger Bacon. On the methodological issues that separated Robert Grosseteste c. 1158-1253 and Albert the Great c. 1200-1280 Bacon dismissed Albert's opinion nearly as enthusiastically as he praised Grosseteste's. Although Bacon did not study under Grosseteste and may never even have met him he did have access to Grosseteste's library left to the Franciscan convent in Oxford and was clearly inspired by his example. However Bacon was also powerfully moved by sources that had been unavailable to Grosseteste principally the optical works of Ptolemy and Alhacen where the promise of geometrical optics had been much more completely fulfilled.</p> <br /> <p>"Thus Bacon even more than Grosseteste became an apostle of the application of mathematical method as the gate and key to all subjects claiming for example that 'no science can be grasped without this science mathematics and . nobody can perceive his ignorance in other sciences unless he is excellently informed in this one. Nor can things of this world be known nor can man grasp the uses of body and things unless he is imbued with the mighty works of this science' . Following Alhacen's lead Bacon applied geometrical analysis to optical phenomena wherever promising and possible given the conceptual framework and the mathematical techniques available to him thereby pushing the mathematization of light and vision as far as it would go before the seventeenth century .</p> <br /> <p>"Several examples will serve as illustrations. First the magnitude of Bacon's commitment to a mathematical analysis is superficially apparent from a glance at his Perspectiva which contains fifty-one geometrical diagrams or his On the Multiplication of Species which contains thirty-nine all fully integrated into the argument of their respective treatises. Second Bacon's works reveal a complete mastery of the geometry of reflection and image-formation in plane convex and concave mirrors" Lindberg & Tachau pp. 501-502.</p> <br /> <p>"Bacon fully understood and successfully communicated the basic geometrical principles governing reflection in plane concave and convex mirrors; the equality of the angles of incidence and reflection; location of the images of objects seen by reflection at the intersection of the rectilinear extension of the visual ray issuing from the eye or the reflected luminous ray entering the eye since Bacon could conceptualize the problem either way and the perpendicular drawn from the visible point to the reflecting surface the cathetus. He also dealt successfully with questions of the magnification and diminution and the inversion and reversal of images; and his analysis of image formation in convex spherical mirrors implicitly embodied the concepts of focal point and focal plane . Bacon's geometrical analysis of the phenomena of refraction was equally successful. He revealed no interest in the quantitative problem of discovering an algebraic or trigonometrical law of refraction. Ptolemy had already made a serious attempt in that direction and Bacon was undoubtedly familiar with it. Bacon aimed only to establish the geometrical and thus qualitative principles governing refraction at interfaces of various shapes separating media of different densities. He understood that radiation is refracted when passing from one medium to another in such a way as to fall closer to the perpendicular in the denser medium; he knew also that the image of an object seen by refracted rays is situated at the intersection of the rectilinear extension of the visual ray emerging from the eye or the luminous ray entering the eye and the perpendicular drawn from the visible point to the refracting interface; and he understood that the degree of refraction depended on the relative transparencies we would say 'optical densities' of the two media. To display these principles he offered a successful geometrical analysis of ten cases of refraction at plane and spherical interfaces each illustrated with a geometrical diagram.</p> <br /> <p>"There is a temptation for those of us who have received a modern education in the physical sciences to regard the successful geometrical analysis of reflection and refraction as obvious and inevitable. We must remind ourselves therefore that taking a geometrical approach to problems of the propagation of light seems self-evidently efficacious to us only because of our membership in or encounter with the tradition of geometrical optics on which Bacon was in the Latin world one of the founding fathers. There was nothing obviously efficacious about the geometrical mode of analysis until he and others made it obvious" Lindberg 1996 pp. xlv-xlvi. </p> <br /> <p>"We can see the depth of Bacon's commitment to the mathematization of optical phenomena in a third example - Bacon's remarkable supposition following Alhacen that the visual apparatus and the very act of vision will submit to geometrical analysis. According to Bacon all of the tunics and humors of the eye cornea crystalline lens aqueous and vitreous humors and retina are defined or enclosed by spherical surfaces the centers of which are situated on a straight line running from the center of the pupil at the front to the opening into the optic nerve at the back. He believed as Alhacen had taught that only rays incident on the eye perpendicularly which enter it without refraction are capable of stimulating the eye's visual capabilities. These perpendicular rays form a cone or pyramid extending from the visual object as base toward an apex which the rays never actually achieve at the center of the observer's eye. The rays that make up this visual cone pass without refraction through the cornea and front surface of the crystalline lens which are concentric so that a ray perpendicular to the one will be perpendicular to the other. At the rear surface of the crystalline lens they are refracted in such a way as to be projected through the opening of the optic nerve which conducts them to its point of union with the other optic nerve our optic chiasma. There the completion of vision occurs as the species from the two eyes join to form a single image. That image in turn continues to multiply itself into the three chambers of the brain that house the five inner senses defined in Avicenna's On the Soul. Although Bacon's theory contains much more detail a striking feature of his quest to understand the act of vision is his willingness following Al-kindi Grosseteste and especially Alhacen to extend mathematical analysis to something so apparently unmathematical as human anatomy" Lindberg & Tachau pp. 502-503.</p> <br /> <p>The Perspectiva also contains Bacon's treatise De speculis comburentibus p. 168 et seq. "The problem was the classic one of explaining how radiation from a spherical body such as the sun passing through a small triangular or rectangular aperture can produce a circular image . In the long run his analysis does not succeed as Kepler was to make clear but it was thorough intelligent influential and above all geometrical; it taught Bacon's successors that the solution to the problem was to be sought in a geometrical analysis of the modes of radiation" Lindberg 1996 pp. xlix-l.</p> <br /> <p>"Bacon's treatise De multiplicatione specierumcontained in the Specula mathematica his major later work on physics written before 1267 is closely related to the study of light vision and perception in the Perspectiva. Bacon takes Grosseteste's physics of light a development of Al-Kindi's universal radiation of force out of its metaphysical background and develops a universal doctrine of physical causation . What Bacon achieves is a comprehensive theory of physical force divorced from psychological moral and religious interpretation . The use of 'species' in this account . is 'the force or power by which any object acts on its surroundings' . As Bacon himself notes 'species force power is the first effect of an agent . the agent sends forth a species into the matter of the recipient so that through the species first produced it can bring forth out of the potentiality of matter of the recipient the complete effect that it intends. This is a universal theory of natural causation as the background for his philosophy of vision and perception. Most importantly species is a univocal product of the agent. The first immediate effect of any natural action is definite specific and uniform. This production is not the imparting or imposition of an external form. The effect of the species is to bring forth the form out of the active potency of the recipient matter' Lindberg 1983 pp. 6-7.</p> <br /> <p>Bacon "outlined a quantitative theory of any propagation along straight lines and so arrived at the inverse square law at least implicitly since he attributed the weakening of the action with distance to the decrease in the cone solid angle under which the acted-on body is seen by the agent Specula Distinctio III Caput II. Bacon calls multiplicatio secundum figuras the law of dependence on distance of an action that radiates in all directions along straight lines and he adds that the lines along which it radiates terminate in the concave surface of a sphere ibid. II III" Russo p. 377. Bacon applied his general theory of the propagation of species to optics: species - in this case light and colour - emanate in every direction from every point of the surface of a visible object and do this continuously; the path is represented by straight lines or rays.</p> <br /> <p>The Specula mathematica also deals as its title suggests "with mathematics and the applications of mathematics. Bacon presents reasons for a reduction of logic to mathematics a kind of reversal of modern logicism and sees mathematics as the key to an understanding of nature. Clearly he is proclaiming the 'usefulness' of mathematics for knowledge; he is not doing mathematical theory. And the branch of mathematics that is important here is geometry. Following his abbreviation of the De multiplicatione specierum in part four of the Great Work which shows how mathematics might be applied to physics he deals with the application of astronomy/astrology to human affairs the uses of mathematics in religious rites as in chronology music symbolism calendar reform and geographical knowledge and a resume of astrology . Bacon was very interested in the applications of astronomy/astrology to human events . Although committed to freedom of the will Bacon held to a deterministic notion of causation in nature based on the Introductorium Maius in Astronomiam of the Islamic authority on Astrology Albumassar on the De radiis of al-Kindi and on the Centiloquium by Pseudo-Ptolemy Ahmed Ibn Yusuf. And since he held to a doctrine of universal radiation in nature he had to account for the influence of the heavens on the human body and hence indirectly on the human mind. Much of the polemic in his later works consists of a justification of this interest in an astrologically necessitated universe in the face of traditional theological objections. These works play a big role as background for his natural philosophy in De multiplicatione specierum" Stanford Encyclopedia of Philosophy.</p> <br /> <p>"Bacon was a transitional figure of great importance who played a critical role in the transmission of Greek and Islamic learning to medieval Europe. It was he more than any other who introduced Latin Christendom to the mathematical optics of Euclid Ptolemy Alkindi and Alhacen; who synthesized their works clarifying and exhibiting their methodological achievement; and who consequently stood at the head of the European tradition in geometrical optics" Lindberg 1997 p. 273.</p> <br/> <br/> Two works bound in one volume 4to 200 x 155mm pp. viii 207 with four leaves of plates of woodcut diagrams printed on recto and verso between pp. 160 & 161 numerous woodcut diagrams in text last two pages misnumbered 204 & 189 as usual gathering c misbound but complete; pp. viii 83 woodcut diagrams in text light browning and foxing in both works. Contemporary blind-ruled vellum with later black lettering-piece on spine a bit soiled. Wolfgang Richter for Anton Humm unknown‎

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