Abstract geometry in the motets of Dunstable and Dufay. Volume 1 and 2

Rommelaere, Paul Frederick Marie

Abstract geometry in the motets of Dunstable and Dufay. Volume 1 and 2

Thesis / Dissertation

1983

Abstract

This dissertation has been inspired by architectural studies showing the extent to which the medieval architect was steeped in geometrical and mathematical thinking. Researchers such as Lesser, von Simson and Wittkower have shown that, from its overall proportion to its most intimate detail of ornamentation, the Gothic cathedral is derived from the sacred lore of numbers and its concommitent geometric procedures, notably quadrature and triangulation. With a single basic dimension, the Gothic architect developed all the measurements of his ground plan and elevation by geometrical means, using the square and the triangle as his module. Dimensions are related, for example, by squares of which the area diminishes or increases in geometric proportion:

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