### Skapa referens, olika format (klipp och klistra)

**Harvard**

Pejlare, J. (2007) *Torsten Brodén's work on the foundations of Euclidean geometry*.

** BibTeX **

@article{

Pejlare2007,

author={Pejlare, Johanna},

title={Torsten Brodén's work on the foundations of Euclidean geometry},

journal={Historia Mathematica},

issn={0315-0860},

volume={34},

issue={4},

pages={402-427},

abstract={The Swedish mathematician Torsten Brodén (1857-1931) wrote two articles on the foundations of Euclidean geometry. The first was published in 1890, almost a decade before Hilbert's first attempt, and the second was published in 1912. Brodén's philosophical view of the nature of geometry is discussed and his thoughts on axiomatic systems are described. His axiomatic system for Euclidean geometry from 1890 is considered in detail and compared with his later work on the foundations of geometry. The two continuity axioms given are compared to and proved to imply Hilbert's two continuity axioms of 1903.},

year={2007},

keywords={Axiomatic system , Continuity axioms , Euclidean geometry , Foundations of geometry , Torsten Brodén},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 216164

A1 Pejlare, Johanna

T1 Torsten Brodén's work on the foundations of Euclidean geometry

YR 2007

JF Historia Mathematica

SN 0315-0860

VO 34

IS 4

SP 402

OP 427

AB The Swedish mathematician Torsten Brodén (1857-1931) wrote two articles on the foundations of Euclidean geometry. The first was published in 1890, almost a decade before Hilbert's first attempt, and the second was published in 1912. Brodén's philosophical view of the nature of geometry is discussed and his thoughts on axiomatic systems are described. His axiomatic system for Euclidean geometry from 1890 is considered in detail and compared with his later work on the foundations of geometry. The two continuity axioms given are compared to and proved to imply Hilbert's two continuity axioms of 1903.

LA eng

DO 10.1016/j.hm.2007.02.001

LK http://dx.doi.org/10.1016/j.hm.2007.02.001

OL 30