| Title | The Question of Celestial Matter in the Hebrew Encyclopedias |
| Type | Book Section |
| Language | English |
| Date | 2000 |
| Published in | The Medieval Hebrew Encyclopedias of Science and Philosophy. Proceedings of the Bar-Ilan University Conference |
| Pages | 313–334 |
| Categories | Cosmology, Jewish Averroism |
| Author(s) | Ruth Glasner |
| Publisher(s) | |
| Translator(s) |
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| Title | Medieval Hebrew Texts on the Quadrature of the Lune |
| Type | Article |
| Language | English |
| Date | 1996 |
| Journal | Historia mathematica |
| Volume | 23 |
| Issue | 1 |
| Pages | 31–53 |
| Categories | Cosmology, Jewish Averroism |
| Author(s) | Y. Tzvi Langermann |
| Publisher(s) | |
| Translator(s) |
| Hippocrates' successful quadrature of the lune was one of the earliest achievements of Greek geometry. Our only source for the nature of Hippocrates' work is Simplicius, who comments on Artistotle's remark that the inference from the quadrature of the lune to the quadrature of the circle is an example of faulty reasoning. In this article two groups of Hebrew texts are translated and analyzed. The first come from mathematical treatises, and their contents show that materials similar to those cited by Simplicius were translated and read in the later medieval period. The second group comprises constructions found as comments to the Averroean corpus, and they attest to the existence of a more limited tradition preserving simple constructions that were necessary to the understanding of Averroes' commentaries on Aristotle. Levi ben Gerson's reconstruction of the quadrature is wholly original. La quadrature de la lunule, par Hippocrate, fut une des premières réalisations de la géométrie grècque. Notre seule source concernant l'oeuvre d'Hippocrate est Simplicius, qui commente une remarque d'Aristote, selon laquelle il est fautif de se servir de la quadrature de la lunule pour connaı̂tre la quadrature du cercle. Dans cet article nous traduisons et analysons deux ensembles de textes hebraı̈ques portant sur ce sujet. Un premier ensemble renferme des textes qui proviennent de traités mathématiques et qui, par leur contenu, indiquent que des matériaux s'apparentant à ce que cite Simplicius étaient connus au Moyen Âge. Le second ensemble comprend des textes qui sont insérés dans des commentaires des écrits d'Averroès: ils attestent l'existence d'une tradition, d'une portée plus limitée, qui conserve des constructions simples qui étaient nécessaires à la compréhension de certains passages des commentaires d'Averroès. La reconstruction de la quadrature de la lunule qu'offre Lévi ben Gershon est entièrement originale. La quadratura della lunula, risolta da Ippocrate, fu uno dei primi successi della geometria greca. L'unica fonte relativa all'opera di Ippocrate e un'annotazione di Simplicio, a commento di un'osservazione di Aristotele, secondo cui servirsi della quadratura della lunula per risolvere la quadratura del cerchio e un esempio di inferenza indebita. Nel presente articolo sono tradotti e analizzati due gruppi di testi ebraici relativi all'argomento. Il primo e desunto da trattati matematici, che monstrano come materiali simili a quelli impiegati da Simplico fossero noti in età medievale. Il secondo gruppo e costituito da testi inseriti nei commenti agli scritti di Averroe, che attestano l'esistenza di una tradizione più limitata, ma che ha conservato alcune construzioni semplici, necessarie alla comprensione di passi dei commenti di Averroe. Del tutto originale risulta la ricostruzione della quadratura della lunula proposta da Levi ben Gershon. |
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| Title | Medieval Hebrew Texts on the Quadrature of the Lune |
| Type | Article |
| Language | English |
| Date | 1996 |
| Journal | Historia mathematica |
| Volume | 23 |
| Issue | 1 |
| Pages | 31–53 |
| Categories | Cosmology, Jewish Averroism |
| Author(s) | Y. Tzvi Langermann |
| Publisher(s) | |
| Translator(s) |
| Hippocrates' successful quadrature of the lune was one of the earliest achievements of Greek geometry. Our only source for the nature of Hippocrates' work is Simplicius, who comments on Artistotle's remark that the inference from the quadrature of the lune to the quadrature of the circle is an example of faulty reasoning. In this article two groups of Hebrew texts are translated and analyzed. The first come from mathematical treatises, and their contents show that materials similar to those cited by Simplicius were translated and read in the later medieval period. The second group comprises constructions found as comments to the Averroean corpus, and they attest to the existence of a more limited tradition preserving simple constructions that were necessary to the understanding of Averroes' commentaries on Aristotle. Levi ben Gerson's reconstruction of the quadrature is wholly original. La quadrature de la lunule, par Hippocrate, fut une des premières réalisations de la géométrie grècque. Notre seule source concernant l'oeuvre d'Hippocrate est Simplicius, qui commente une remarque d'Aristote, selon laquelle il est fautif de se servir de la quadrature de la lunule pour connaı̂tre la quadrature du cercle. Dans cet article nous traduisons et analysons deux ensembles de textes hebraı̈ques portant sur ce sujet. Un premier ensemble renferme des textes qui proviennent de traités mathématiques et qui, par leur contenu, indiquent que des matériaux s'apparentant à ce que cite Simplicius étaient connus au Moyen Âge. Le second ensemble comprend des textes qui sont insérés dans des commentaires des écrits d'Averroès: ils attestent l'existence d'une tradition, d'une portée plus limitée, qui conserve des constructions simples qui étaient nécessaires à la compréhension de certains passages des commentaires d'Averroès. La reconstruction de la quadrature de la lunule qu'offre Lévi ben Gershon est entièrement originale. La quadratura della lunula, risolta da Ippocrate, fu uno dei primi successi della geometria greca. L'unica fonte relativa all'opera di Ippocrate e un'annotazione di Simplicio, a commento di un'osservazione di Aristotele, secondo cui servirsi della quadratura della lunula per risolvere la quadratura del cerchio e un esempio di inferenza indebita. Nel presente articolo sono tradotti e analizzati due gruppi di testi ebraici relativi all'argomento. Il primo e desunto da trattati matematici, che monstrano come materiali simili a quelli impiegati da Simplico fossero noti in età medievale. Il secondo gruppo e costituito da testi inseriti nei commenti agli scritti di Averroe, che attestano l'esistenza di una tradizione più limitata, ma che ha conservato alcune construzioni semplici, necessarie alla comprensione di passi dei commenti di Averroe. Del tutto originale risulta la ricostruzione della quadratura della lunula proposta da Levi ben Gershon. |
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| Title | The Question of Celestial Matter in the Hebrew Encyclopedias |
| Type | Book Section |
| Language | English |
| Date | 2000 |
| Published in | The Medieval Hebrew Encyclopedias of Science and Philosophy. Proceedings of the Bar-Ilan University Conference |
| Pages | 313–334 |
| Categories | Cosmology, Jewish Averroism |
| Author(s) | Ruth Glasner |
| Publisher(s) | |
| Translator(s) |
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