All sides to an oval : properties, parameters, and Borromini's mysterious construction / Angelo Alessandro Mazzotti.
Mazzotti, Angelo Alessandro, author.
2017
NA2890
Available Online

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Title All sides to an oval : properties, parameters, and Borromini's mysterious construction / Angelo Alessandro Mazzotti.
Author Mazzotti, Angelo Alessandro, author.
ISBN 9783319393759 (electronic book)
3319393758 (electronic book)
9783319393742
331939374X
DOI https://doi.org/10.1007/978-3-319-39375-9
Published Cham, Switzerland : Springer, 2017.
Language English
Description 1 online resource (x, 160 pages) : illustrations.
Item Number 10.1007/978-3-319-39375-9 doi
Call Number NA2890
Dewey Decimal Classification 721/.46
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 9, 2017).
Available in Other Form All Sides to an Oval : Properties, Parameters, and Borromini's Mysterious Construction
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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

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