All Sides to an Oval Properties, Parameters, and Borromini's Mysterious Construction /
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 pr...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
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| Online Access: | https://doi.org/10.1007/978-3-319-39375-9 |
Table of Contents:
- 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. .