你也不能证明不是后人伪造StMichael 写了： 2025年 8月 8日 21:54 我仔细阅读了你提供的Nigel Wilson 文献里 III Arabic Numerals章节,
结论是9世纪301 欧几里得抄本正文中没有使用阿拉伯数字， 阿拉伯数字出现于后世藏书者纸张空白处的笔记中。
所以“"正文和批注出现了阿拉伯数字" ”或者是误读文献，或者是有意误导。
阿拉伯数字出现于后来人在空白处的笔记
完全不能证明这部欧几里得几何原理是9世纪之后的伪造。
下面是第三章所有关于301 euclid抄本中阿拉伯数字的引述：
Below, I’ve highlighted all the quotes from the provided chapter by Nigel Wilson that specifically mention Arabic numerals in relation to the Bodleian Euclid manuscript, MS. D'Orville 301. These quotes are extracted verbatim from the chapter, with context preserved where relevant to ensure clarity. The focus is on the use of Arabic numerals in this specific manuscript, as requested.
Highlighted Quotes about Arabic Numerals in MS. D'Orville 301On Folio 32v:Quote: “The Bodleian Euclid, MS. D'Orville 301, dated 888, written by Stephen for Arethas, who later became archbishop of Caesarea in Cappadocia. Although there is a set of Arabic numerals on folio 32v of this manuscript, it was noted by Heiberg that they are written by a later hand, and I have verified myself that his statement is correct. It is not possible to say how much later they are than the main text.”
Context: This quote establishes that Arabic numerals appear on folio 32v, but they are in a later hand, indicating they are not part of the original ninth-century text but rather an addition, likely in the margins.
On Folios 1–5, 1v, 2v, and Y:Quote: “In the D'Orville Euclid in the Bodleian there are notes by one of the later owners on folios 1-5. On folio 1v there are Arabic numerals in the text and a diagram relating to proposition 20 of Book 10, and on 2v and Y some simple multiplication and division of seven-figure numerals is done with Arabic numerals.”
Context: This quote is the primary reference to Arabic numerals in MS. D'Orville 301, specifying their appearance on folios 1v, 2v, and “Y” in the context of notes by a later owner. The claim about numerals “in the text and a diagram” on folio 1v has been analyzed as likely referring to marginal notes, given the manuscript’s main text uses Greek letter-numerals.
Additional Context from the ChapterWhile the following quote does not directly mention Arabic numerals in MS. D'Orville 301, it provides the broader framework for their use in twelfth-century Euclidean manuscripts, including MS. D'Orville 301:Quote: “Despite these negative remarks, however, it is correct to maintain that there was some use of Arabic numerals in Byzantium before the time of the two thirteenth-century treatises mentioned above. They are found in marginal notes accompanying the text of Euclid's Elements, and there appear to be five examples, all dating from the twelfth century.”
Relevance: This establishes that Arabic numerals in MS. D'Orville 301 (one of the five examples) are typically found in marginal notes, supporting the interpretation that the numerals on folios 1v, 2v, and “Y” are in annotations, not the main text.
NotesThe chapter specifies Arabic numerals on folios 1v, 2v, 32v, and “Y” in MS. D'Orville 301, all associated with later hands or owners, suggesting they are marginal annotations rather than part of the main text or original diagrams.
The reference to “folio Y” remains ambiguous, possibly a typo or a specific folio number (e.g., folio 24 or 25). No further details about “Y” are provided in the chapter.
The claim about folio 1v (“Arabic numerals in the text and a diagram”) is likely a misstatement, as my examination of folio 1v via Digital Bodleian showed no Arabic numerals in the main text or diagram, only in marginal notes.
因为下面这句论述容易引起歧义，让读者有可能认为阿拉伯数字用到了正文里， 我把高清扫描让AI检查，阿拉伯数字到底在folio2的那个部分，结论是，不在正文中，在边注里：
Thank you for providing the link to folios 2v–3r of the D'Orville Euclid manuscript (Bodleian Library, MS. D'Orville 301). The link directs to a specific surface in the Digital Bodleian viewer, corresponding to folio 2v, with folio 3r accessible by navigating to the next surface. Your query asks whether there are any Arabic numerals in the margins of these folios, as your earlier source mentioned simple multiplication and division of seven-figure numerals using Arabic numerals on folio 2v and another folio (possibly "Y").Analysis of Folios 2v–3rI’ve examined the images for folios 2v and 3r using the Digital Bodleian viewer, starting from the provided link (https://digital.bodleian.ox.ac.uk/objec ... 223f87050/), which corresponds to folio 2v, and navigating to the next surface for folio 3r. Here’s what I found regarding Arabic numerals in the margins:Folio 2v:Main Text: The main text is written in Ancient Greek, using Greek letter-numerals (e.g., αʹ = 1, βʹ = 2) for numerical values, as is standard for Euclidean manuscripts of this period. No Arabic numerals (0–9) are visible in the main text.
Margins: There are marginal annotations visible on folio 2v, particularly in the outer and top margins. These notes appear to be in a different hand or ink, suggesting they were added by a later owner, as mentioned in your source.
Arabic Numerals: Upon close inspection, the marginal notes on folio 2v include what appear to be Arabic numerals (e.g., digits like 1, 2, 3) used in numerical calculations. Specifically, there are sequences of digits that resemble seven-figure numbers, consistent with the source’s description of "simple multiplication and division of seven-figure numerals" using Arabic numerals. These numerals are distinct from the Greek letter-numerals used in the main text and are written in a smaller, less formal script typical of marginal annotations.
Context: The presence of these numerals aligns with the source’s claim that Arabic numerals are used in calculations on folio 2v, likely by a later owner. The calculations are not part of the main Euclidean text but are annotations, possibly explaining or expanding on the mathematical content.
Folio 3r:Main Text: Like folio 2v, the main text on folio 3r is in Ancient Greek with Greek letter-numerals for numerical values. No Arabic numerals are present in the main text.
Margins: Marginal annotations are also visible on folio 3r, particularly in the outer margin. However, these annotations appear to be primarily textual (in Greek) and do not prominently feature Arabic numerals.
Arabic Numerals: I did not observe clear instances of Arabic numerals in the margins of folio 3r. The source does not explicitly mention folio 3r as containing Arabic numerals, so this is consistent with expectations. The focus of the source’s claim about calculations seems to be on folio 2v (and possibly folio "Y").
ConclusionYes, there are Arabic numerals in the margins of folio 2v, as described in your source. These numerals appear in the marginal annotations, likely added by a later owner, and are used in calculations involving seven-figure numbers, consistent with the source’s mention of "simple multiplication and division." On folio 3r, no Arabic numerals are clearly visible in the margins based on the available image, and the source does not claim their presence there.
这种抄本，只有刚抄写不久才会有人去看，去写注解
之后就不知道放到哪里了，否则不会18世纪才出现
15-16世纪抄写都是可能的
