All sides to an oval : properties, parameters, and Borromini's mysterious construction /: properties, parameters, and Borromini's mysterious construction. (2017)

• Record Type: Book
• Further Information: Note: Angelo Alessandro Mazzotti.
• Authors: Mazzotti, Angelo Alessandro
• Contents: Acknowledgements; 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. 5: 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. 8.2.1 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (x, 160 pages), illustrations (some color)
• Subjects: 721/.46; Mathematics; Architecture -- Details; Domes; Ovals; ARCHITECTURE -- Buildings -- Public, Commercial & Industrial; Architecture -- Details; Domes; Ovals; Mathematics -- Applied; Applied mathematics; Geometry; Mathematics -- Geometry -- General; Geometry; Electronic books
• Languages: English
• ISBNs: 9783319393759; 3319393758
• Related ISBNs: 9783319393742; 331939374X
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 9, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.