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All Sides to an Oval
Properties, Parameters, and Borromini's Mysterious Construction
Taschenbuch von Angelo Alessandro Mazzotti
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

MA in Mathematics and PhD in Operations Research, Angelo A. Mazzotti has been a high school teacher for more than 20 years. In 2011 he went back to research studying Polycentric Curves and Ovals in particular, and started working as a freelance mathematician. Angelo is also a game inventor and a jazz singer.

Zusammenfassung

Unprecedented and complete cover of the topic of polycentric ovals written in a highly readable style for a broad audience

Presents more than 30 constructions and corresponding links to animation videos

Contains a breakthrough study of the geometry of the dome of the church of San Carlo alle Quattro Fontane in Rome

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 172
Inhalt: x
160 S.
3 s/w Illustr.
126 farbige Illustr.
160 p. 129 illus.
126 illus. in color.
ISBN-13: 9783319818795
ISBN-10: 3319818791
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mazzotti, Angelo Alessandro
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 235 x 155 x 10 mm
Von/Mit: Angelo Alessandro Mazzotti
Erscheinungsdatum: 17.07.2018
Gewicht: 0,271 kg
preigu-id: 114226639
Über den Autor

MA in Mathematics and PhD in Operations Research, Angelo A. Mazzotti has been a high school teacher for more than 20 years. In 2011 he went back to research studying Polycentric Curves and Ovals in particular, and started working as a freelance mathematician. Angelo is also a game inventor and a jazz singer.

Zusammenfassung

Unprecedented and complete cover of the topic of polycentric ovals written in a highly readable style for a broad audience

Presents more than 30 constructions and corresponding links to animation videos

Contains a breakthrough study of the geometry of the dome of the church of San Carlo alle Quattro Fontane in Rome

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Geometrie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 172
Inhalt: x
160 S.
3 s/w Illustr.
126 farbige Illustr.
160 p. 129 illus.
126 illus. in color.
ISBN-13: 9783319818795
ISBN-10: 3319818791
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mazzotti, Angelo Alessandro
Auflage: Softcover reprint of the original 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 235 x 155 x 10 mm
Von/Mit: Angelo Alessandro Mazzotti
Erscheinungsdatum: 17.07.2018
Gewicht: 0,271 kg
preigu-id: 114226639
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