Research Article
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On Fuhrmann's Theorem in Abstract Spaces

Year 2019, Volume: 23 Issue: 5, 788 - 791, 01.10.2019

Nilgün Sönmez

https://doi.org/10.16984/saufenbilder.518403

Abstract

We prove that Fuhrmann's Theorem holds on
every Ptolemaean space.

Keywords

Fuhrmann's theorem Ptolemaean theorem

References

  • Referans 1 H. S. M. Coxeter and S. L. Greitzer, “Geometry Revisited,” Washington, DC:Math. Assoc. Amer., pp. 42–43, 1967.Referans 2 W. Fuhrmann, “Synthetische Beweise Planimetrischer Sa ̈tze,” Berlin, pp. 61, 1890. Referans 3 R.A. Johnson, “Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle,” Boston, MA: Houghton Mifflin, pp. 65-66, 1929.Referans 4 I. D. Platis, “Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of Rank 1,” Geometriae Dedicata, vol. 169, pp. 187–208, 2014.Referans 5 I. D. Platis and V. Schroeder, “Möbius Rigidity of Invariant Metrics in Boundaries of Symmetric Spaces of Rank 1,” Monatshefte für Mathematic, vol. 183, no. 2, pp. 357–373, 2017.

Year 2019, Volume: 23 Issue: 5, 788 - 791, 01.10.2019

Nilgün Sönmez

https://doi.org/10.16984/saufenbilder.518403

Abstract

References

  • Referans 1 H. S. M. Coxeter and S. L. Greitzer, “Geometry Revisited,” Washington, DC:Math. Assoc. Amer., pp. 42–43, 1967.Referans 2 W. Fuhrmann, “Synthetische Beweise Planimetrischer Sa ̈tze,” Berlin, pp. 61, 1890. Referans 3 R.A. Johnson, “Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle,” Boston, MA: Houghton Mifflin, pp. 65-66, 1929.Referans 4 I. D. Platis, “Cross-ratios and the Ptolemaean inequality in boundaries of symmetric spaces of Rank 1,” Geometriae Dedicata, vol. 169, pp. 187–208, 2014.Referans 5 I. D. Platis and V. Schroeder, “Möbius Rigidity of Invariant Metrics in Boundaries of Symmetric Spaces of Rank 1,” Monatshefte für Mathematic, vol. 183, no. 2, pp. 357–373, 2017.
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Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Nilgün Sönmez 0000-0001-6764-3949

Publication Date October 1, 2019
Submission Date January 27, 2019
Acceptance Date March 21, 2019
Published in Issue Year 2019 Volume: 23 Issue: 5

Cite

APA Sönmez, N. (2019). On Fuhrmann’s Theorem in Abstract Spaces. Sakarya University Journal of Science, 23(5), 788-791. https://doi.org/10.16984/saufenbilder.518403
AMA Sönmez N. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. October 2019;23(5):788-791. doi:10.16984/saufenbilder.518403
Chicago Sönmez, Nilgün. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science 23, no. 5 (October 2019): 788-91. https://doi.org/10.16984/saufenbilder.518403.
EndNote Sönmez N (October 1, 2019) On Fuhrmann’s Theorem in Abstract Spaces. Sakarya University Journal of Science 23 5 788–791.
IEEE N. Sönmez, “On Fuhrmann’s Theorem in Abstract Spaces”, SAUJS, vol. 23, no. 5, pp. 788–791, 2019, doi: 10.16984/saufenbilder.518403.
ISNAD Sönmez, Nilgün. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science 23/5 (October 2019), 788-791. https://doi.org/10.16984/saufenbilder.518403.
JAMA Sönmez N. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. 2019;23:788–791.
MLA Sönmez, Nilgün. “On Fuhrmann’s Theorem in Abstract Spaces”. Sakarya University Journal of Science, vol. 23, no. 5, 2019, pp. 788-91, doi:10.16984/saufenbilder.518403.
Vancouver Sönmez N. On Fuhrmann’s Theorem in Abstract Spaces. SAUJS. 2019;23(5):788-91.
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