This study examines an ensemble of Romanesque churches in the region of Val d’Aran in the Spanish Pyrenees, built between the 11th and 13th centuries. Seven topographical studies performed between 2014 and 2015 examined these churches systematically using terrestrial laser scanning (TLS) as a data‐acquisition technique. The data obtained allowed for a geometrically accurate analysis of the orientation of these churches based on four Romanesque liturgies: Gemma animae (c.1120), by Honorius of Autun; Rationale divinorum officiorum (c.1150), by Jean Beleth; Mitralis de Officio (1190), by Sicard, Bishop of Cremona; and Prochiron, vulgo rationale divinorum officiorum (1291), by Guillaume Durand.
The construction of Gothic cathedrals is among the great achievements of medieval science, as defined in terms of theorica and practica. The success of these constructions is due to the knowledge of promoters and builders. This study introduces the original sources of the codex of the cathedral of Tortosa (Catalonia, Spain) with authors such as Calcidius, Capella, Macrobius, Al-Ḣ ajjāj ibn Yūsuf ibn Mat˙ar or Gerbert. The combined assessment of these sources, together with the masonry built and Guarc's original plan (c.1345-c.1380) shed some light on the mathematical knowledge of the cathedrals' builders. Keywords Mathematics in middle ages • Gothic cathedrals • Medieval geometry • Heptagon • Octagon • Tortosa cathedral Abbreviations ACTo Arxiu capitular tortosa (Chapter Archives of Tortosa) AHCTE Arxiu històric comarcal terres ebre FBMPM Fundación bertomeu march palma mallorca
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