Maehara, Hiroshi; Martini, Horst On Cesàro triangles and spherical polygons. (English) Zbl 1492.51008 Aequationes Math. 96, No. 2, 361-379 (2022). Reviewer: M. G. Mahmoudi (Tehran) MSC: 51M04 51M09 51M16 52A10 PDFBibTeX XMLCite \textit{H. Maehara} and \textit{H. Martini}, Aequationes Math. 96, No. 2, 361--379 (2022; Zbl 1492.51008) Full Text: DOI
Zamboj, Michal Interactive 4-d visualization of stereographic images from the double orthogonal projection. (English) Zbl 1464.68422 Cheng, Liang-Yee (ed.), ICGG 2020 – Proceedings of the 19th international conference on geometry and graphics, São Paulo, Brazil, January 18–22, 2021. Cham: Springer. Adv. Intell. Syst. Comput. 1296, 115-126 (2021). MSC: 68U05 51N05 PDFBibTeX XMLCite \textit{M. Zamboj}, Adv. Intell. Syst. Comput. 1296, 115--126 (2021; Zbl 1464.68422) Full Text: DOI arXiv
Wang, Xingchang; Yu, Tao; Chung, Kwokwai; Gdawiec, Krzysztof; Ouyang, Peichang Stereographic visualization of 5-dimensional regular polytopes. (English) Zbl 1423.52023 Symmetry 11, No. 3, Paper No. 391, 12 p. (2019). MSC: 52B11 52B15 51M20 PDFBibTeX XMLCite \textit{X. Wang} et al., Symmetry 11, No. 3, Paper No. 391, 12 p. (2019; Zbl 1423.52023) Full Text: DOI
Taherian, S. Gh.; Mohseni Takaloo, S. A new solution of Apollonius’ problem based on stereographic projections of Möbius and Laguerre planes. (English) Zbl 1421.51001 Beitr. Algebra Geom. 60, No. 3, 465-469 (2019). Reviewer: Dirk Keppens (Gent) MSC: 51B10 51H15 51B15 PDFBibTeX XMLCite \textit{S. Gh. Taherian} and \textit{S. Mohseni Takaloo}, Beitr. Algebra Geom. 60, No. 3, 465--469 (2019; Zbl 1421.51001) Full Text: DOI
Simonič, Aleksander Lexell’s theorem via stereographic projection. (English) Zbl 1420.51014 Beitr. Algebra Geom. 60, No. 3, 459-463 (2019). MSC: 51M09 PDFBibTeX XMLCite \textit{A. Simonič}, Beitr. Algebra Geom. 60, No. 3, 459--463 (2019; Zbl 1420.51014) Full Text: DOI
Gingold, Harry; Gingold, Yotam; Hamad, Salah A spherical projection of a complex Hilbert space is conformal iff it is the stereographic projection. (English) Zbl 1404.46019 Differ. Geom. Dyn. Syst. 20, 38-71 (2018). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 46C05 51N15 14M27 14N05 PDFBibTeX XMLCite \textit{H. Gingold} et al., Differ. Geom. Dyn. Syst. 20, 38--71 (2018; Zbl 1404.46019) Full Text: Link
Bajgonakova, G. A.; Mednykh, A. D. On Bretschneider’s formula for a spherical quadrilateral. (Russian) Zbl 1274.51022 Mat. Zamet. YAGU 19, No. 1, 3-11 (2012). Reviewer: V. A. Alexandrov (Novosibirsk) MSC: 51M25 51M10 PDFBibTeX XMLCite \textit{G. A. Bajgonakova} and \textit{A. D. Mednykh}, Mat. Zamet. YAGU 19, No. 1, 3--11 (2012; Zbl 1274.51022) Full Text: Link
Weiss, Gunter; Hamann, Marco On elementary circle-geometry in Cayley-Klein planes. (English) Zbl 1236.51002 Beitr. Algebra Geom. 53, No. 1, 139-157 (2012). MSC: 51A25 51M09 51M15 PDFBibTeX XMLCite \textit{G. Weiss} and \textit{M. Hamann}, Beitr. Algebra Geom. 53, No. 1, 139--157 (2012; Zbl 1236.51002) Full Text: DOI
Górska, Renata A. Accolineation in the \(P\)-projection. (English) Zbl 1188.51012 G, Slov. Čas. Geom. Graf. 6, No. 11, 5-12 (2009). Reviewer: Agota H. Temesvári (Sopron) MSC: 51N05 51M35 51M15 PDFBibTeX XMLCite \textit{R. A. Górska}, G, Slov. Čas. Geom. Graf. 6, No. 11, 5--12 (2009; Zbl 1188.51012)
Car, Vedran; Dragun, Dino; Beban-Brkić, Jelena Multimedia concept in visualization of the polar stereographic projection. (Croatian. English summary) Zbl 1192.00018 KoG 12, 55-62 (2008). MSC: 00A35 51N20 97U80 PDFBibTeX XMLCite \textit{V. Car} et al., KoG 12, 55--62 (2008; Zbl 1192.00018)
Johnson, Charles R.; Masson, Robert D.; Trosset, Michael W. On the diagonal scaling of Euclidean distance matrices to doubly stochastic matrices. (English) Zbl 1071.15005 Linear Algebra Appl. 397, 253-264 (2005). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A12 15B51 51K05 PDFBibTeX XMLCite \textit{C. R. Johnson} et al., Linear Algebra Appl. 397, 253--264 (2005; Zbl 1071.15005) Full Text: DOI
Odehnal, Boris On the geometric generation of linear line mappings. (Zur geometrischen Erzeugung linearer Geradenabbildungen.) (German) Zbl 1114.51007 Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 213, 43-69 (2004). Reviewer: Rolf Riesinger (Wien) MSC: 51M15 51M30 51N15 PDFBibTeX XMLCite \textit{B. Odehnal}, Sitzungsber., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 213, 43--69 (2004; Zbl 1114.51007)
Prażmowski, Krzysztof Projections of cylinders and generalization of the parabeln model of affine geometry. (English) Zbl 1056.51017 Demonstr. Math. 37, No. 1, 177-189 (2004). Reviewer: Hans Havlicek (Wien) MSC: 51N25 51B15 PDFBibTeX XMLCite \textit{K. Prażmowski}, Demonstr. Math. 37, No. 1, 177--189 (2004; Zbl 1056.51017)
Uribe-Vargas, Ricardo On polar duality, Lagrange and Legendre singularities and stereographic projection to quadrics. (English) Zbl 1038.32023 Proc. Lond. Math. Soc., III. Ser. 87, No. 3, 701-724 (2003). Reviewer: Serguey M. Pokas (Odessa) MSC: 32S05 51L15 53A20 53D05 53D10 53D12 57R17 58K05 58K30 58K35 PDFBibTeX XMLCite \textit{R. Uribe-Vargas}, Proc. Lond. Math. Soc. (3) 87, No. 3, 701--724 (2003; Zbl 1038.32023) Full Text: DOI
Farag, Ahmed; El Sherif, Ahmed Metric characters of spherical perspective. (English) Zbl 1057.51018 Pretorius, Johann, Proceedings of the 9th international conference on geometry and graphics, Johannesburg, South Africa, July 28–31, 2000. Vol. 1. Johannesburg: Rand Afrikaans University (ISBN 0-620-26255-9/hbk). 57-62 (2000). MSC: 51N05 PDFBibTeX XMLCite \textit{A. Farag} and \textit{A. El Sherif}, in: Proceedings of the 9th international conference on geometry and graphics, Johannesburg, South Africa, July 28--31, 2000. Vol. 1. Johannesburg: Rand Afrikaans University. 57--62 (2000; Zbl 1057.51018)
Sedykh, V. D. The four-vertex theorem of a plane curve and its generalizations. (Russian. English summary) Zbl 1031.53500 Soros. Obraz. Zh. 6, No. 9, 122-127 (2000). Reviewer: V.A.Alexandrov (Novosibirsk) MSC: 53A04 00A06 51-01 PDFBibTeX XMLCite \textit{V. D. Sedykh}, Soros. Obraz. Zh. 6, No. 9, 122--127 (2000; Zbl 1031.53500)
Oryszczyszyn, Henryk Inversive closure of metric affine space and its automorphisms. (English) Zbl 0939.51001 Demonstr. Math. 32, No. 1, 151-155 (1999). Reviewer: Johannes Wallner (Wien) MSC: 51B05 PDFBibTeX XMLCite \textit{H. Oryszczyszyn}, Demonstr. Math. 32, No. 1, 151--155 (1999; Zbl 0939.51001) Full Text: DOI
Gregorac, Robert J. An extension of Feuerbach’s and Luchterhand’s volume relation. (English) Zbl 0917.51021 Geom. Dedicata 73, No. 1, 79-84 (1998). Reviewer: H.Martini (Chemnitz) MSC: 51M16 PDFBibTeX XMLCite \textit{R. J. Gregorac}, Geom. Dedicata 73, No. 1, 79--84 (1998; Zbl 0917.51021) Full Text: DOI
Karlıǧa, Baki On the generalized stereographic projection. (English) Zbl 0874.51005 Beitr. Algebra Geom. 37, No. 2, 329-336 (1996). Reviewer: R.Koch (München) MSC: 51M09 PDFBibTeX XMLCite \textit{B. Karlıǧa}, Beitr. Algebra Geom. 37, No. 2, 329--336 (1996; Zbl 0874.51005) Full Text: EuDML EMIS
Lankosz, Adam Polar-stereographic projection of space \(R^ 3\) on a plane. (Polish. English summary) Zbl 0856.51017 Opusc. Math. 16, 119-121 (1996). MSC: 51N15 PDFBibTeX XMLCite \textit{A. Lankosz}, Opusc. Math. 16, 119--121 (1996; Zbl 0856.51017)
Dietz, Roland; Geise, Gerhard; Jüttler, Bert On a generalized stereographic projection. (Zur verallgemeinerten stereographischen Projektion.) (German) Zbl 0841.51015 Math. Pannonica 6, No. 2, 181-197 (1995). Reviewer: E.Heil (Darmstadt) MSC: 51N15 51M30 53A05 PDFBibTeX XMLCite \textit{R. Dietz} et al., Math. Pannonica 6, No. 2, 181--197 (1995; Zbl 0841.51015) Full Text: EuDML
Pakula, Lewis Regions cut by arrangements of topological spheres. (English) Zbl 0799.52010 Can. Math. Bull. 36, No. 2, 241-244 (1993). Reviewer: H.Martini (Chemnitz) MSC: 52C35 51M20 05A99 PDFBibTeX XMLCite \textit{L. Pakula}, Can. Math. Bull. 36, No. 2, 241--244 (1993; Zbl 0799.52010) Full Text: DOI
Unger, Georg Remarks on an article of M. Vignati. (Bemerkung zu einer Arbeit von M. Vignati.) (German) Zbl 0792.51014 Elem. Math. 48, No. 3, 120-122 (1993). Reviewer: R.Koch (München) MSC: 51N20 51N15 PDFBibTeX XMLCite \textit{G. Unger}, Elem. Math. 48, No. 3, 120--122 (1993; Zbl 0792.51014) Full Text: EuDML
Gruber, Peter M. Characterization of spheres by stereographic projection. (English) Zbl 0780.52002 Arch. Math. 60, No. 3, 290-295 (1993). Reviewer: P.M.Gruber MSC: 52A20 52A55 51M99 86A30 53C45 PDFBibTeX XMLCite \textit{P. M. Gruber}, Arch. Math. 60, No. 3, 290--295 (1993; Zbl 0780.52002) Full Text: DOI
Jüttler, Bert About the construction of rational curves and surfaces on quadrics. (Zur Konstruktion rationaler Kurven und Flächen auf Quadriken.) (German) Zbl 0781.51014 J. Geom. 47, No. 1-2, 53-64 (1993). Reviewer: Otto Röschel (Graz) MSC: 51N20 68U07 53A17 PDFBibTeX XMLCite \textit{B. Jüttler}, J. Geom. 47, No. 1--2, 53--64 (1993; Zbl 0781.51014) Full Text: DOI
Garsevanishvili, V. R.; Sheftel, M. B. On the choice of invariant variables for two-particle processes. (English) Zbl 0758.51016 Rep. Math. Phys. 29, No. 1, 85-94 (1991). Reviewer: H.Germer (Berlin) MSC: 51M09 81U05 PDFBibTeX XMLCite \textit{V. R. Garsevanishvili} and \textit{M. B. Sheftel}, Rep. Math. Phys. 29, No. 1, 85--94 (1991; Zbl 0758.51016) Full Text: DOI
Reyes, W. A note on isocline planes. (Spanish) Zbl 0714.53021 Rev. Colomb. Mat. 23, No. 1-4, 1-4 (1989). Reviewer: M.Stoka MSC: 53B20 51N20 PDFBibTeX XMLCite \textit{W. Reyes}, Rev. Colomb. Mat. 23, No. 1--4, 1--4 (1989; Zbl 0714.53021) Full Text: EuDML
Postnikov, M. M. Lectures in geometry. Semester I: Analytic geometry. (Lektsii po geometrii. Semester I: Analiticheskaya geometriya). 2nd ed. (Russian) Zbl 0662.51001 Moskva: Nauka. 416 p. R. 1.00 (1986). MSC: 51-01 51N10 51N15 15-01 PDFBibTeX XML
Jeger, M. Die Gewinnung der Grundformen der sphärischen Trigonometrie aus der stereographischen Projektion. (Obtaining of the fundamental formulae of the spherical trigonometry by means of the stereographic projection). (German) Zbl 0607.51005 Elem. Math. 41, 120-125 (1986). Reviewer: A.Szybiak MSC: 51B05 PDFBibTeX XMLCite \textit{M. Jeger}, Elem. Math. 41, 120--125 (1986; Zbl 0607.51005) Full Text: EuDML
Eneva, Gergana On the special normal surfaces of the 5-dimensional projective space. (Russian. English, German summaries) Zbl 0606.51018 God. Sofij. Univ., Fak. Mat. Mekh. 74(1980), 7-9 (1986). MSC: 51N15 PDFBibTeX XMLCite \textit{G. Eneva}, God. Sofiĭ. Univ., Fak. Mat. Mekh. 74, 7--9 (1986; Zbl 0606.51018)
Schwarz, Binyamin; Zaks, Abraham Geometries of the projective matrix space. II. (English) Zbl 0599.51008 J. Algebra 103, 686-707 (1986). Reviewer: R.Koch MSC: 51B10 51N25 20H20 51M05 51M10 PDFBibTeX XMLCite \textit{B. Schwarz} and \textit{A. Zaks}, J. Algebra 103, 686--707 (1986; Zbl 0599.51008) Full Text: DOI
Stary, Maria Beiträge zur projektiven Inversion und deren Linearisierung. (German) Zbl 0572.51017 Fakultät für Mathematik und Informatik der Technischen Universität München. 243 S. (1985). MSC: 51N15 PDFBibTeX XML
Hartl, Johann Correction to my paper ”Zerfallende Quadrikenschnitte und stereographische Projektion”. (German) Zbl 0551.51009 J. Geom. 24, 101 (1985). MSC: 51N15 PDFBibTeX XMLCite \textit{J. Hartl}, J. Geom. 24, 101 (1985; Zbl 0551.51009) Full Text: DOI
Apostolova, M. P. Hypersurface in \(P_ 4\) obtained by means of the stereographic projection of a quadric on a plane and a collineation. II. (Bulgarian. English, Russian summaries) Zbl 0594.51024 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 20(1985), No. 3, 109-119 (1984). MSC: 51N15 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 20, No. 3, 109--119 (1984; Zbl 0594.51024)
Apostolova, M. P. Equations of hypersurfaces in \(P_ 4\) obtained by means of the stereographic projection of a quadric on a plane and a collination. (Bulgarian. English, Russian summaries) Zbl 0594.51022 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 20(1985), No. 2, 165-175 (1984). MSC: 51N15 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 20, No. 2, 165--175 (1984; Zbl 0594.51022)
Hartl, Johann Zerfallende Quadrikenschnitte und stereographische Projektion. (English) Zbl 0536.51019 J. Geom. 22, 149-152 (1984). Reviewer: H.Lenz MSC: 51N15 PDFBibTeX XMLCite \textit{J. Hartl}, J. Geom. 22, 149--152 (1984; Zbl 0536.51019) Full Text: DOI
Apostolova, M. P. Hypersurface in \(P_ 4\) obtained by means of stereographic projection of a quadric on a plane and a collineation. (Bulgarian. English, Russian summaries) Zbl 0594.51023 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 18(1984), No. 4, 183-196 (1983). MSC: 51N15 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 18, No. 4, 183--196 (1983; Zbl 0594.51023)
Apostolova, M. P. Hypersurfaces of the fourth and third degrees in \(P_ 4\) obtained by means of stereographic projection of a quadric on a plane. (Bulgarian. English, Russian summaries) Zbl 0594.51021 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 19(1984), No. 2, 181-192 (1983). MSC: 51N15 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 19, No. 2, 181--192 (1983; Zbl 0594.51021)
Apostolova, M. P. Equations of hypersurfaces of fifth, fourth and third degrees in \(P_ 4\) obtained by means of stereographic projection of a quadric on a plane. (Bulgarian. English, Russian summaries) Zbl 0594.51020 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 19(1984), No. 2, 171-180 (1983). MSC: 51N15 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 19, No. 2, 171--180 (1983; Zbl 0594.51020)
Apostolova, M. P. A hyperquintic in \(P_ 4\) obtained by means of a stereographic projection of a quadric on a plane. (Bulgarian. English, Russian summaries) Zbl 0561.51024 God. Vissh. Uchebn. Zaved., Prilozhna Mat. 18 (1982), No. 3, 153-166 (1983). MSC: 51N35 14A10 14N05 PDFBibTeX XMLCite \textit{M. P. Apostolova}, God. Vissh. Uchebn. Zaved., Prilozh. Mat. 18, No. 3, 153--166 (1983; Zbl 0561.51024)
Gyarmathi, A.; Gyarmathi, L. Die Verwendung der Zentralprojektion im Modell Cayley-Klein des hyperbolischen Raumes. (German) Zbl 0534.51010 Publ. Math. Debr. 30, 143-155 (1983). Reviewer: H.Schaal MSC: 51M10 51N05 51M15 PDFBibTeX XMLCite \textit{A. Gyarmathi} and \textit{L. Gyarmathi}, Publ. Math. Debr. 30, 143--155 (1983; Zbl 0534.51010)
Paschinger, Ingeborg Konvexe Polytope und Dirichletsche Zellenkomplexe. (German) Zbl 0486.52006 Arbeitsber., Ber. Math. Inst. Univ. Salzburg 1-2/1982, 1-84 (1982). MSC: 52Bxx 51M20 PDFBibTeX XML
Wilker, J. B. Inversive geometry and certain chains of circles. (English) Zbl 0487.51016 C. R. Math. Acad. Sci., Soc. R. Can. 3, 37-42 (1981). MSC: 51M05 05B10 PDFBibTeX XMLCite \textit{J. B. Wilker}, C. R. Math. Acad. Sci., Soc. R. Can. 3, 37--42 (1981; Zbl 0487.51016)
Rachwal, Tadeusz On certain properties of stereographic projection of a hyperellipsoid in the space \(E_ n\) (\(n \geq 3\)). (Polish) Zbl 0484.51024 Zesz. Nauk. Akad. Gorn.-Hutn. Stanislaw Staszica 764, Mat. Fiz. Chem. 43, 79-82 (1980). MSC: 51N10 51N20 PDFBibTeX XMLCite \textit{T. Rachwal}, Zesz. Nauk. Akad. Górn.-Hutn. Stanisław Staszica [...], Mat. Fiz. Chem. 764(43), 79--82 (1980; Zbl 0484.51024)
Trencansky, Ivan Chain in \(S_1\). (English) Zbl 0428.51003 Acta Fac. Rer. Nat. Univ. Comenian., Math. 34, 123-135 (1979). MSC: 51B10 PDFBibTeX XMLCite \textit{I. Trencansky}, Acta Fac. Rer. Nat. Univ. Comenianae, Math. 34, 123--135 (1979; Zbl 0428.51003)
Bouligand, Georges; Flocon, Albert; Barre, André Étude comparée de différentes méthodes de perspective, une perspective curviligne. (French) Zbl 0126.19005 Acad. R. Belg., Bull. Cl. Sci., V. Ser. 50, 294-308 (1964). Reviewer: Hanfried Lenz (Berlin) MSC: 51-01 51-03 00A66 PDFBibTeX XMLCite \textit{G. Bouligand} et al., Bull. Cl. Sci., V. Sér., Acad. R. Belg. 50, 294--308 (1964; Zbl 0126.19005)
Catalan, E. On the stereographic projection. (Sur la projection stéréographique.) (French) JFM 06.0385.01 C. R. LXXVIII, 1040-1041 (1874). Reviewer: Scholz, Dr. (Berlin) MSC: 51N05 PDFBibTeX XMLCite \textit{E. Catalan}, C. R. Acad. Sci., Paris 78, 1040--1041 (1874; JFM 06.0385.01) Full Text: Gallica
Ziegler, A. Simple theory of strerographic projections. (Einfache Theorie der stereographischen Projection.) (German) JFM 04.0261.02 Hoffmann Z. III. 151-154 (1872). Reviewer: Hoppe, Prof. (Berlin) MSC: 51-01 51N15 PDFBibTeX XML
Ziegler, A. Foundations of stereometry in a new and better presentation for heuristic classes. (Fundamente der Stereometrie in neuer und verbesserter Durchführung zum heuristischen Unterrichte.) (German) JFM 04.0257.05 München (1872). Reviewer: Panzerbieter, (Berlin) MSC: 51-01 51M04 51M09 51M20 PDFBibTeX XML