Godina izdanja: Ostalo
ISBN: Ostalo
Jezik: Engleski
Oblast: Matematika
Autor: Strani

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Robert of Chester`s Redaction of Euclid`s Elements, the so-called Adelard II Version
Volume I
By: H.L. Busard, Menso Folkerts

Description of the Manuscripts.- Relationships between the Manuscripts.- Editorial Remarks.- Concordance Heiberg Text - Version II.- Euclides, Elementa.- Liber I.- Liber II.- Liber III.- Liber IV.- Liber V.- Liber VI.- Liber VII.- Liber VIII.- Liber IX.- Liber X.- Liber XI.- Liber XII.- Liber XIII.- Liber XIV.- Liber XV.- Index of Latin Words.

ISBN: 9783764326586
ISBN-10: 3764326581
Series: Science Networks Historical Studies
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 436
Published: 3rd April 1992
Publisher: Springer Nature B.V.
Country of Publication: CH
Dimensions (cm): 25.4 x 17.78 x 2.39
Weight (kg): 0.97

The Latin `Version II`, till now attributed to Adelard of Bath, is edited here for the first time. It was the most influential Euclid text in the Latin West in the 12th and 13th centuries. As the large number of manuscripts and the numerous quotations in other scientific and philosophical texts show, it was far better known than the three Euclid translations made from the Arabic in the 12th century (Adelard of Bath, version I; Hermann of Carinthia; Gerard of Cremona). Version II became the basis of later reworkings, in which the enunciations were taken over, but new proofs supplied; the most important text of this kind is the redaction made by Campanus in the late 1250s, which became the standard Latin `Euclid` in the later Middle Ages. The introduction deals with the questions of when and by whom version II was written. Since Marshall Clagett`s fundamental article (1953) it has been generally accepted that version II is one of three Euclid texts attributable to Adelard of Bath. But a comparison of the text of version II with those of versions I and III yields little or no reason to assume that Adelard was the author of version II. Version II must have been written later than version I and before version III; its author was acquainted with Euclid texts of the Boethius tradition and with two of those transmitted from Arabic, version I (almost certainly by Adelard) and the version by Hermann of Carinthia.


Euklidovi Elementi (grč. Στοιχεῖα, Stiheia) su antičko delo o elementarnoj matematici helenskog naučnika Euklida iz 3. veka stare ere. Euklidovi Elementi sadrže 13 knjiga i predstavljaju sistematsko izlaganje grčke matematike tog vremena po odeljcima: elementarna geometrija, teorija brojeva, algebra, teorija merenja geometrijskih veličina, elementi teorije graničnih vrednosti.

Euklidovi Elementi predstavljaju izvanredan obrazac izgradnje geometrije deduktivnom metodom. Elementarna geometrija, koja se izučava u srednjim školama mnogih zemalja sveta, se u malo čemu razlikuje od geometrije izložene u Euklidovim Elementima. Međutim, mnoge definicije (tačka, prava i dr.) u Euklidovoj geometriji su danas zastarele. Mnoge aksiome iz Euklidove geometrije ne predstavljaju danas aksiome. Na primer: Euklid je smatrao sledeći stav kao aksiomu: `Svi pravi uglovi su podudarni`. Danas se ovaj stav, u strožijem deduktivnom izlaganju geometrije, dokazuje.

Postoje mišljenja da niz knjiga koje ulaze u Euklidove Elemente nije napisao Euklid, već drugi matematičari; na primer knjige 10. i 13. po mišljenju holandskog matematičara Van der Verdena (Van der Verden) je napisao starogrčki matematičar Teotet. Niz teorema i geometrijskih činjenica izloženih u Euklidovim Elementima bili su poznati mnogo pre Euklida.

Obično se uz ovaj skup knjiga izdaju i dve dodatne knjige tzv. XIV i XV za koje se sa sigurnošću može tvrditi da su dodate kasnije i da ne predstavljaju autentičan Euklidov rad.


Euklidovi elementi euklid matematika fizika stručna literatura iz matematike