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000779941 1001_ $$aMazzotti, Angelo Alessandro,$$eauthor.
000779941 24510 $$aAll sides to an oval :$$bproperties, parameters, and Borromini's mysterious construction /$$cAngelo Alessandro Mazzotti.
000779941 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017.
000779941 300__ $$a1 online resource (x, 160 pages) :$$billustrations.
000779941 336__ $$atext$$btxt$$2rdacontent
000779941 337__ $$acomputer$$bc$$2rdamedia
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000779941 504__ $$aIncludes bibliographical references.
000779941 5050_ $$aAcknowledgements; Contents; 1: Introduction; References; 2: Properties of a Polycentric Oval; 2.1 Four-Centre Ovals; References; 3: Ruler/Compass Constructions of Simple Ovals; 3.1 Ovals with Given Symmetry Axis Lines; 3.2 Ovals with Unknown Axis Lines; 3.3 Inscribing and Circumscribing Ovals: The Frame Problem; 3.4 The Stadium Problem and the Running Track; References; 4: Parameter Formulas for Simple Ovals and Applications; 4.1 Parameter Formulas for Simple Ovals; 4.2 Limitations for the Frame Problem; 4.3 Measuring a Four-Centre Oval; 4.4 Concentric Ovals; References
000779941 5058_ $$a5: Optimisation Problems for OvalsReferences; 6: Remarkable Four-Centre Oval Shapes; References; 7: Borrominiś Ovals in the Dome of San Carlo alle Quattro Fontane in Rome; 7.1 The 1998 Survey; 7.2 The Project for the Dome; 7.2.1 The Dimensions of the Dome; 7.2.2 The Impost Oval and the Lantern Oval; 7.2.3 Determining the Height of the Rings of Coffers; 7.2.4 The Ovals of the Rings of Coffers; 7.3 Conclusions; References; 8: Ovals with 4n Centres and the Ground Plan of the Colosseum; 8.1 The Construction of Ovals with 4n Centres; 8.2 The Ovals in the Ground Plan of the Colosseum
000779941 5058_ $$a8.2.1 References and Data Used: The Two-Step Method8.2.2 The Four-Centre Oval Guideline; 8.2.3 From a Four-Centre to an Eight-Centre Oval; References; Appendix
000779941 506__ $$aAccess limited to authorized users.
000779941 520__ $$aThis 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.
000779941 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 9, 2017).
000779941 650_0 $$aArchitecture$$xDetails.
000779941 650_0 $$aDomes.
000779941 650_0 $$aOvals.
000779941 77608 $$iPrint version:$$aMazzotti, Angelo Alessandro$$tAll Sides to an Oval : Properties, Parameters, and Borromini's Mysterious Construction$$dCham : Springer International Publishing,c2017$$z9783319393742
000779941 852__ $$bebk
000779941 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-39375-9$$zOnline Access$$91397441.1
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