Journals / Sakarya University Journal of Science / 2026 / Volume: 23 Issue: 5

On Fuhrmann's Theorem in Abstract Spaces

Nilgün Sönmez(Afyon Kocatepe Üniversitesi)0000-0001-6764-3949
Pages
—
Publication Date
2019-10-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We prove that Fuhrmann's Theorem holds on every Ptolemaean space.
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Key Findings & Data:We prove that Fuhrmann's Theorem holds on every Ptolemaean space.
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Conclusion & Impact:We prove that Fuhrmann's Theorem holds on every Ptolemaean space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuhrmann's theorem · Ptolemaean theorem

Abstract

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

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Cite This Article

Sönmez, N. (2019). On Fuhrmann's Theorem in Abstract Spaces. Sakarya University Journal of Science, Volume: 23 Issue: 5. https://doi.org/10.16984/saufenbilder.518403

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References (1)

  1. 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.