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＜電子ブック＞
All Sides to an Oval : Properties, Parameters, and Borromini's Mysterious Construction / by Angelo Alessandro Mazzotti

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	X, 160 p. 129 illus., 126 illus. in color : online resource
著者標目	*Mazzotti, Angelo Alessandro author SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Mathematics LCSH:Arts LCSH:Architecture—Mathematics FREE:Geometry FREE:Mathematics in Art and Architecture
一般注記	Introduction -- Properties of a polycentric oval.-F -- Ruler/Compass constructions of simple ovals -- Ovals with given symmetry axis lines -- Ovals with unknown axis lines.-Inscribing and circumscribing ovals – The frame problem -- The stadium problem and the running track -- Parameter formulas for simple ovals and applications -- Parameter formulas for simple ovals -- Limitations for the frame problem -- Measuring a four-centre oval -- Optimisation problems for ovals -- Ovals with 4n centres -- Remarkable four-centre ovals .-Appendix.-References.-Acknowledgements. This is the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation videos, plus the solution to the Frame Problem and solutions to the Stadium Problem. A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini’s oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres. The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author). The primary audience is: architects, graphic designers, industrial designers, architecture historians, civil engineers; moreover, the systematic way in which the book is organised could make it a companion to a textbook on descriptive geometry or on CAD HTTP:URL=https://doi.org/10.1007/978-3-319-39375-9

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