title: Geometry: The Language of Space and Form (History of Mathematics)
author:  John Tabak 
description: John Tabak, Ph.D., performed graduate work at Suny at Stony Brook and received a degree in mathematics from Rensselaer Polytechnic Institute. He is the author of A Look at Earth and A Look at Neptune, two astronomy titles for middle school readers. He is presently writing a history of American sign language.
zlib_text: ![images](images/cover.jpg)
  
  
  
  
  
  NON-EUCLIDEAN  
  GEOMETRY
  
  
  A Critical and Historical Study of its Development
  
  
  by ROBERTO BONOLA
  
  
  Authorized English translation  
  with additional appendices by  
  H. S. CARSLAW  
  With an Introduction by  
  FEDERIGO ENRIQUES
  
  
  
  
  
  With a supplement containing  
  the DR. GEORGE BRUCE HALSTED translations of  
  THE SCIENCE OF  
  ABSOLUTE SPACE  
  by JOHN BOLYAI  
  THE THEORY OF PARALLELS  
  by NICHOLAS LOBACHEVSKI
  
  
  Dover Publications, Inc., New York
  
  
  
  
  
  
  
  
  This Dover edition, first published in 1955, is an unabridged and unaltered
  republication of the first English translation, by H. S. Carslaw, of Roberto
  Bonola’s _La Geometria non-Euclidea_ as published in 1912 by The Open Court
  Publishing Company. It is supplemented with George Bruce Halsted’s
  translations of John Bolyai’s Appendix to _Tentamen Juventutem Studiosam in
  Elementa Matheseos Purae, Elementaris ac Sublimions, Methodo Intuitiva,
  Evidentia–Que Huic Propria, Introducendi_ (which is here reprinted fr