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## Stereographic Projection

*Glen Van Brummelen*

### in Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175997
- eISBN:
- 9781400844807
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175997.003.0008
- Subject:
- Mathematics, History of Mathematics

This chapter deals with stereographic projection, which is superior to other projections of the sphere because of its angle-preserving and circle-preserving properties; the first property gave ... More

## Geometry of crystals and molecules

*Mark Ladd*

### in Symmetry of Crystals and Molecules

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199670888
- eISBN:
- 9780191781124
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199670888.003.0002
- Subject:
- Physics, Crystallography: Physics

The early history of crystallography is discussed, including particularly the work of Steno, Hauy, de l’Isle, Miller and Weiss. Reference axes are introduced together with the mathematical ... More

## The Flat Earth Society

*Nicholas Mee*

### in Celestial Tapestry: The Warp and Weft of Art and Mathematics

- Published in print:
- 2020
- Published Online:
- September 2020
- ISBN:
- 9780198851950
- eISBN:
- 9780191886690
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198851950.003.0026
- Subject:
- Physics, History of Physics

Chapter 25 explains the construction and use of the astrolabe with reference to Geoffrey Chaucer’s A Treatise on the Astrolabe. The astrolabe is a rotating map of the heavens constructed using a ... More

## Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry

*Glen Van Brummelen*

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175997
- eISBN:
- 9781400844807
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175997.001.0001
- Subject:
- Mathematics, History of Mathematics

This book traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the ... More

## Maps in Various Forms

*A. R. P. Rau*

### in The Beauty of Physics: Patterns, Principles, and Perspectives

- Published in print:
- 2014
- Published Online:
- December 2014
- ISBN:
- 9780198709916
- eISBN:
- 9780191780189
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198709916.003.0006
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

Maps originated as cartographic representations of the local neighbourhood or the entire global surface. They have a wider context for representations more generally and, therefore, occur throughout ... More

## Symmetry

*Robert E. Newnham*

### in Properties of Materials: Anisotropy, Symmetry, Structure

- Published in print:
- 2004
- Published Online:
- November 2020
- ISBN:
- 9780198520757
- eISBN:
- 9780191916601
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198520757.003.0005
- Subject:
- Earth Sciences and Geography, Geochemistry

All single crystals possess translational symmetry, and most possess other symmetry elements as well. In this chapter we describe the 32 crystallographic point groups used for single crystals. The ... More

## The Metric Topology

*Adel N. Boules*

### in Fundamentals of Mathematical Analysis

- Published in print:
- 2021
- Published Online:
- May 2021
- ISBN:
- 9780198868781
- eISBN:
- 9780191905254
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198868781.003.0004
- Subject:
- Mathematics, Analysis, Applied Mathematics

The chapter is an extensive account of the metric topology and is a prerequisite for all the subsequent chapters. The leading sections develop the basic metric properties such as closure and ... More

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