A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study some characterizations of hyperbolic geometry in the Poincaré disk.
We first obtain the hyperbolic areaand length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Replacing interior angles with vertices coordinates, we also obtain a new hyperbolic area formula of a hyperbolic triangle.
As its application, we give the hyperbolic area of a Lambert quadrilateral and some geometric characterizations of Lambert quadrilaterals and Saccheri quadrilaterals.
American Psychological Association (APA)
Bao, Hui& Chen, Xingdi. 2014. A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications. Journal of Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1041106
Modern Language Association (MLA)
Bao, Hui& Chen, Xingdi. A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications. Journal of Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1041106
American Medical Association (AMA)
Bao, Hui& Chen, Xingdi. A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications. Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1041106
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1041106
