Geometry and construction. Theory of principal curvature lines in stone stereotomy

The paper illustrates the theoretical and practical study of the theory of curvature lines elaborated by Gaspard Monge at the end of the eighteenth century, and its application to the construction of cut stone architecture, with particular reference to the specific case study of an ellipsoidal vault (proposed by Monge and revisited by Hachette and Leroy). The intent is to optimize the construction of these lines in the method of the mathematical representation, at least...
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