All Sides to an Oval Properties, Parameters and Borromini's Mysterious Construction /

• Κύριος συγγραφέας: Mazzotti, Angelo Alessandro (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 2nd ed. 2019.
• Θέματα: Geometry.; Mathematics.; Mathematics in Art and Architecture.

"The book is an original, interesting and opportune contribution to an area not contemplated in geometry courses." (Mathematical Reviews Clippings) "Angelo Mazzotti's All Sides to an Oval is a fundamental book for anyone working with oval forms from the point of view of the geome...

Πίνακας περιεχομένων:

• Preface to the 2nd edition.-Introduction.-Properties of a polycentric oval.-Four Centre Ovals
• 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
• Concentric Ovals - Possible Equations and Geogebra Representations of an Oval.-Optimisation problems for ovals
• Ovals with 4n centres
• Remarkable four-centre ovals
• Borromini's Ovals in the Dome of San Carlo alle Quattro Fontane in Rome.-Ovals with 4n Centres: the Ground Plan of the Colosseum and the Neuilly Bridge Arches.-Appendix.-References.-Acknowledgements. .