Abstract

The geometry in codex 80 of the Capitular Archive has traditionally been understood as a complete text and attributed to Gerbert of Aurillac ( c . 940-1003). From a new reading of the text, we can say that it is a miscellaneous writing about geometry, composed of three independent parts: one containing the Geometria Incerti Auctoris apocryphical by Gerbert of Aurillac ( c . 940-1003); another one is a fragment of De Nuptiis Philologiae et Mercurii by Martianus Capella (fl . 430) from Ergasticis Schematibus of Book VII of the Geometry; and finally there is a gloss to the Elementa by Euclides ( c . 325- c . 265 bC.) by Al-Ḥajjāj ibn Yūsuf ibn Maṭar (786-833). The interpretation of the geometrical propositions provides knowledge about the indirect measure of places which are inaccessible using medieval instrumental, the astrolabe, mirrors, cane and squares.

Highlights

  • Paraules clau: geometria medieval; geometria Gerbert; Gerbert d’Orlhac; Les noces de Filologia i Mercuri; Marcià Capella; elements Euclides; Al-Ḥajjāj

  • The geometry in codex 80 of the Capitular Archive has traditionally been understood as a complete text

  • that it is a miscellaneous writing about geometry

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Summary

Abreviatures utilitzades

ACTo = Arxiu Capitular Tortosa; (Bub) = edicció de Bubnov 1899; (Pez) = edicció de Pez 1853; (Oll) = edició de Olleris 1876. 1. Obres científiques a l’Arxiu Capitular de Tortosa.– 2. La geometria del còdex ACTo 80.– 3. La Geometria Incerti Auctoris del còdex ACTo 80.– 4. Les proposicions de la Geometria Incerti Auctoris de l’ACTo 80.– 5. De Ergasticis Schematibus de la geometria de Marcià Capella.– 6. La glossa d’Al-Ḥajjāj als Elementa d’Euclides.– 7.

OBRES CIENTÍFIQUES A L’ARXIU CAPITULAR DE TORTOSA
LA GEOMETRIA DEL CÒDEX ACTO 80
LA GEOMETRIA INCERTI AUCTORIS DEL CÒDEX ACTO 80
LES PROPOSICIONS DE LA GEOMETRIA INCERTI AUCTORIS DE L’ACTO 80
II III IV V VI VII VIII IX X XI XII
II III IV V VI VII VIII IX
DE ERGASTICIS SCHEMATIBUS DE LA GEOMETRIA DE MARCIÀ CAPELLA
LA GLOSSA D’AL-ḤAJJĀJ ALS ELEMENTA D’EUCLIDES
CONCLUSIONS
BIBLIOGRAFIA CITADA

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