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In this chapter we move away from the pictorial representations, and we ask more fundamental questions on the nature of geometry, its axiomatic description, and in fact the many geometries that one might envision. A significant portion of the chapter is dedicated to non-Euclidean geometries, and how projective geometry acts as a container for all of them.

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Projective Geometry

  • 章节

  • 发表日期：

    2026年

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  • Marco Panza,
  • Daniele C. Struppa

摘要

In this chapter we move away from the pictorial representations, and we ask more fundamental questions on the nature of geometry, its axiomatic description, and in fact the many geometries that one might envision. A significant portion of the chapter is dedicated to non-Euclidean geometries, and how projective geometry acts as a container for all of them.