文章基本信息

标题：Geometria e costruzione. La teoria delle linee di curvatura nella stereotomia della pietra
本地全文：下载
作者：Federico Fallavollita ; Marta Salvatore
期刊名称：DISEGNARECON
印刷版ISSN：1828-5961
出版年度：2012
卷号：5
期号：9
页码：125-134
DOI：10.6092/issn.1828-5961/3160
语种：Italian
出版社：Alma Mater Studiorum, Università di Bologna
摘要：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 for the case study. The link that exists between the theories of descriptive geometry and the stereotomic design principles is significant. Theoretical geometric constructions, seemingly abstract, are applied in the practice of construction and become, at times, a prerequisite to solving complex cases such as that presented.
其他摘要：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 for the case study. The link that exists between the theories of descriptive geometry and the stereotomic design principles is significant. Theoretical geometric constructions, seemingly abstract, are applied in the practice of construction and become, at times, a prerequisite to solving complex cases such as that presented.
关键词：principal curvature lines;confocal quadrics;focal curves;Dupin’s theorem;ellipsoidal vault;stereotomy;linee di curvatura;quadriche confocali;curve focali;teorema di Dupin;volta ellissoidale;stereotomia
其他关键词：ICAR17 - Disegno;principal curvature lines; confocal quadrics; focal curves; Dupin’s theorem; ellipsoidal vault; stereotomy