Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

“The Axioms of Geometry”

Abstract

MR. ROBT. B. HAYWARD has written to me that some of the statements in my article, “The Axioms of Geometry,” in NATURE, March 13 (p. 453), are too sweeping, and that in particular Euclid I. 16 does not necessarily hold for the geometry of the eye-being, or, to use the more familiar language of spherical geometry, that this theorem does not hold unless the median line of the triangle on the side on which the exterior angle lies is less than a quadrant.

This is a preview of subscription content, access via your institution

Access options

Buy this article

USD 39.95

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

HENRICI, O. “The Axioms of Geometry”. Nature 29, 573 (1884). https://doi.org/10.1038/029573b0

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1038/029573b0

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing