全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

On the Existence of Non-Intersecting Straight Lines on the Plane

DOI: 10.4236/jmp.2018.95052, PP. 816-819

Keywords: Infinite Straight Line, Euclid’s Fifth Postulate, Non-Euclidean Geometries

Full-Text   Cite this paper   Add to My Lib

Abstract:

In this brief note, we adduce the logical rationale that if at least one infinite straight line non-intersecting with the given straight line passes through a given point not lying on a given straight line, then it must be unique.

References

[1]  Euclid (2002) Euclid’s Elements. Grin Lion Press, Lion.
[2]  Dieudonné, J. (1970) The American Mathematical Monthly, 77, 134-135.
https://doi.org/10.2307/2317325
[3]  Bonola, R. (1955) Non-Euclidean Geometry. N. Y. Dover Publication, New York.
[4]  Coxeter, H.S.M. (1965) Non-Euclidean Geometry. University of Toronto Press, Toronto.
[5]  Milnor, J.W. (1982) Bulletin of the American Mathematical Society, 6, 9-24.
https://doi.org/10.1090/S0273-0979-1982-14958-8
[6]  Lobachevsky, N.I. (1840) Geometrische Untersuchungen zur Theorie der Parallellinien. F. Fincke, Berlin.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133