Pambuccian, Victor Why did Euclid not need the Pasch axiom? (English) Zbl 07809272 J. Geom. 115, No. 1, Paper No. 13, 25 p. (2024). MSC: 03B30 51M05 51G05 PDFBibTeX XMLCite \textit{V. Pambuccian}, J. Geom. 115, No. 1, Paper No. 13, 25 p. (2024; Zbl 07809272) Full Text: DOI
Chen, Qiuyue; Chen, Bing; Jin, Hailin The circumradius of planar reduced convex bodies. (English) Zbl 1516.52002 J. Geom. 114, No. 1, Paper No. 6, 7 p. (2023). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A10 52A40 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Geom. 114, No. 1, Paper No. 6, 7 p. (2023; Zbl 1516.52002) Full Text: DOI
Struve, Horst; Struve, Rolf Cayley-Klein geometries and projective-metric geometry. (English) Zbl 1491.51012 J. Geom. 113, No. 2, Paper No. 32, 20 p. (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51F15 51G05 51N15 PDFBibTeX XMLCite \textit{H. Struve} and \textit{R. Struve}, J. Geom. 113, No. 2, Paper No. 32, 20 p. (2022; Zbl 1491.51012) Full Text: DOI
Horváth, Ákos G. Diameter, width and thickness in the hyperbolic plane. (English) Zbl 1477.52007 J. Geom. 112, No. 3, Paper No. 47, 29 p. (2021). MSC: 52A10 52A20 51M09 51M10 PDFBibTeX XMLCite \textit{Á. G. Horváth}, J. Geom. 112, No. 3, Paper No. 47, 29 p. (2021; Zbl 1477.52007) Full Text: DOI arXiv
Berele, Allan; Catoiu, Stefan The Fermat-Torricelli theorem in convex geometry. (English) Zbl 1437.52001 J. Geom. 111, No. 2, Paper No. 22, 21 p. (2020). MSC: 52A10 52A30 52A38 53A04 PDFBibTeX XMLCite \textit{A. Berele} and \textit{S. Catoiu}, J. Geom. 111, No. 2, Paper No. 22, 21 p. (2020; Zbl 1437.52001) Full Text: DOI
Shipman, Barbara A.; Shipman, Patrick D. Weierstrass representations for triply orthogonal and conformal Euclidean and Lorentzian systems. (English) Zbl 1441.53012 J. Geom. 111, No. 1, Paper No. 18, 19 p. (2020). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53B20 53B30 35C05 53B25 53A45 53A05 53A10 53A35 PDFBibTeX XMLCite \textit{B. A. Shipman} and \textit{P. D. Shipman}, J. Geom. 111, No. 1, Paper No. 18, 19 p. (2020; Zbl 1441.53012) Full Text: DOI
Balestro, Vitor; Martini, Horst; Sakaki, Makoto Curvature types of planar curves for gauges. (English) Zbl 1452.46013 J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020). MSC: 46B20 52A10 52A21 53A04 53A35 PDFBibTeX XMLCite \textit{V. Balestro} et al., J. Geom. 111, No. 1, Paper No. 12, 12 p. (2020; Zbl 1452.46013) Full Text: DOI arXiv
Harutyunyan, Davit; Nazaryan, Aram; Pambuccian, Victor The Hajja-Martini inequality in a weak absolute geometry. (English) Zbl 1417.51009 J. Geom. 110, No. 2, Paper No. 24, 16 p. (2019). MSC: 51F05 51M16 51M04 51M05 PDFBibTeX XMLCite \textit{D. Harutyunyan} et al., J. Geom. 110, No. 2, Paper No. 24, 16 p. (2019; Zbl 1417.51009) Full Text: DOI
Shipman, Barbara A.; Shipman, Patrick D.; Packard, David Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation. (English) Zbl 1377.53007 J. Geom. 108, No. 2, 545-563 (2017). MSC: 53A05 53A10 17B99 53A35 PDFBibTeX XMLCite \textit{B. A. Shipman} et al., J. Geom. 108, No. 2, 545--563 (2017; Zbl 1377.53007) Full Text: DOI
Mandelkern, Mark A constructive real projective plane. (English) Zbl 1339.51001 J. Geom. 107, No. 1, 19-60 (2016). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51A05 03F65 PDFBibTeX XMLCite \textit{M. Mandelkern}, J. Geom. 107, No. 1, 19--60 (2016; Zbl 1339.51001) Full Text: DOI
Struve, Rolf Ordered metric geometry. (English) Zbl 1329.51006 J. Geom. 106, No. 3, 551-570 (2015). MSC: 51G05 51F15 51M10 PDFBibTeX XMLCite \textit{R. Struve}, J. Geom. 106, No. 3, 551--570 (2015; Zbl 1329.51006) Full Text: DOI
Struve, Rolf; Struve, Horst Ordered groups and ordered geometries. (English) Zbl 1319.51014 J. Geom. 105, No. 3, 419-447 (2014). Reviewer: Norbert Knarr (Stuttgart) MSC: 51G05 51F15 51M05 PDFBibTeX XMLCite \textit{R. Struve} and \textit{H. Struve}, J. Geom. 105, No. 3, 419--447 (2014; Zbl 1319.51014) Full Text: DOI
Pambuccian, Victor On the simplicity of ordered geometry. (English) Zbl 1280.51007 J. Geom. 104, No. 1, 153-163 (2013). Reviewer: Norbert Knarr (Gießen) MSC: 51G05 52A01 03B30 PDFBibTeX XMLCite \textit{V. Pambuccian}, J. Geom. 104, No. 1, 153--163 (2013; Zbl 1280.51007) Full Text: DOI
Pambuccian, Victor The non-planarity of \(K_{5}\) and \(K_{3,3}\) as axioms for plane ordered geometry. (English) Zbl 1267.51012 J. Geom. 103, No. 2, 313-318 (2012). Reviewer: Norbert Knarr (Gießen) MSC: 51G05 52A01 03B30 PDFBibTeX XMLCite \textit{V. Pambuccian}, J. Geom. 103, No. 2, 313--318 (2012; Zbl 1267.51012) Full Text: DOI
Struve, Rolf The calculus of reflections and the order relation in hyperbolic geometry. (English) Zbl 1277.51013 J. Geom. 103, No. 2, 333-346 (2012). MSC: 51F15 51G05 51M10 PDFBibTeX XMLCite \textit{R. Struve}, J. Geom. 103, No. 2, 333--346 (2012; Zbl 1277.51013) Full Text: DOI
Hociotă, Ioana; Pambuccian, Victor Acute triangulation of a triangle in a general setting revisited. (English) Zbl 1246.51010 J. Geom. 102, No. 1-2, 81-84 (2011). MSC: 51G05 51F20 51F05 PDFBibTeX XMLCite \textit{I. Hociotă} and \textit{V. Pambuccian}, J. Geom. 102, No. 1--2, 81--84 (2011; Zbl 1246.51010) Full Text: DOI
Martini, Horst; Wu, Senlin Tangent segments and orthogonality types in normed planes. (English) Zbl 1228.51020 J. Geom. 99, No. 1-2, 89-100 (2010). MSC: 51M05 51B20 PDFBibTeX XMLCite \textit{H. Martini} and \textit{S. Wu}, J. Geom. 99, No. 1--2, 89--100 (2010; Zbl 1228.51020) Full Text: DOI
Fabińska, Ewa; Lassak, Marek Large triangles contained in the unit disk of a Minkowski plane. (English) Zbl 1188.52002 J. Geom. 95, No. 1-2, 31-39 (2009). Reviewer: Mihai Cipu (Bucureşti) MSC: 52A10 52A21 PDFBibTeX XMLCite \textit{E. Fabińska} and \textit{M. Lassak}, J. Geom. 95, No. 1--2, 31--39 (2009; Zbl 1188.52002) Full Text: DOI
Kalhoff, Franz B. On formally real division algebras and quasifields of finite rank. (English) Zbl 0894.12004 J. Geom. 61, No. 1-2, 74-82 (1998). Reviewer: W.Kerby (Hamburg) MSC: 12K99 17A35 51G05 12J15 PDFBibTeX XMLCite \textit{F. B. Kalhoff}, J. Geom. 61, No. 1--2, 74--82 (1998; Zbl 0894.12004) Full Text: DOI
Rigby, John F. Orthocentric and mediocentric pentagons. (English) Zbl 0816.51009 J. Geom. 51, No. 1-2, 116-137 (1994). Reviewer: J.Kaczmarek (Poznań) MSC: 51M15 PDFBibTeX XMLCite \textit{J. F. Rigby}, J. Geom. 51, No. 1--2, 116--137 (1994; Zbl 0816.51009) Full Text: DOI
Markert, Matthew; Wetzel, John E. Grünbaum 4-arrangements on the 120-cell and the 600-cell. (English) Zbl 0764.52005 J. Geom. 45, No. 1-2, 114-120 (1992). Reviewer: P.McMullen (London) MSC: 52C35 PDFBibTeX XMLCite \textit{M. Markert} and \textit{J. E. Wetzel}, J. Geom. 45, No. 1--2, 114--120 (1992; Zbl 0764.52005) Full Text: DOI