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Johannes de Tinemue’s redaction of Euclid’s Elements, the so-called Adelard III version. Vol. I: Introduction, sigla and descriptions of the manuscripts, editorial remarks, Euclides, Elementa. (English, Latin) Zbl 0978.01016

From the introduction: There have been several translations of Euclid’s Elements in the Middle Ages in Europe, mainly from the Arabic. The oldest one from Adelard of Bath dates perhaps from the second quarter of the XIIth century (a free and literal translation in a heterogeneous way hinting to an even older translation). Another one due to Hermann of Carinthia might be from the mid XIIth century (free translation). A third one is attributed to Gerard of Cremona perhaps from the third quarter of the XIIth century (literal translation which has been adapted in later available manuscripts). The author has published it [The Latin translation of the Arabic version of Euclid’s Elements commonly ascribed to Gerard of Cremona (1983)]. A fourth one is from the Greek (late XIIth century? several translators?) whose original is due to Theon of Alexandria (IVth century).
Version II is believed to have arisen from the first two translations alongside an Arabic text. It was the one from which the canonical work of Campanus (1259 AD) appeared. It became the official printed edition in the Renaissance. There has been a development with more detailed proofs provided in later stages.
Version III is due to Johannes de Tinemue (late XIIth century?). It had little influence although Campanus was aware of it. “In all likelihood, version III was neither a translation from an Arabic source nor a work by Adelard, but one of the earliest Latin commentaries of Euclid.” The proofs are more streamlined and structured and its author comments that some results are more intuitive than the definitions used to derive them.
Next, the manuscripts are recensed and then follow the fourteen books of Euclid in Latin with figures drawn from the Balliol College-Oxford manuscript (the oldest). The author mentions that punctuation has been added, errors and omissions have been corrected.

MSC:

01A35 History of mathematics in Late Antiquity and medieval Europe
01-02 Research exposition (monographs, survey articles) pertaining to history and biography
01A75 Collected or selected works; reprintings or translations of classics
01A20 History of Greek and Roman mathematics

Citations:

Zbl 0978.01017
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