Araştırma Makalesi
BibTex RIS Kaynak Göster

On Fuhrmann's Theorem in Abstract Spaces

Yıl 2019, Cilt: 23 Sayı: 5, 788 - 791, 01.10.2019

Nilgün Sönmez

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

Öz

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

Anahtar Kelimeler

Fuhrmann's theorem Ptolemaean theorem

Kaynakça

  • 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.

Yıl 2019, Cilt: 23 Sayı: 5, 788 - 791, 01.10.2019

Nilgün Sönmez

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

Öz

Kaynakça

  • 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.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Nilgün Sönmez 0000-0001-6764-3949

Yayımlanma Tarihi 1 Ekim 2019
Gönderilme Tarihi 27 Ocak 2019
Kabul Tarihi 21 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 23 Sayı: 5

Kaynak Göster

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. Ekim 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, sy. 5 (Ekim 2019): 788-91. https://doi.org/10.16984/saufenbilder.518403.
EndNote Sönmez N (01 Ekim 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, c. 23, sy. 5, ss. 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 (Ekim 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, c. 23, sy. 5, 2019, ss. 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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