Eighteen Essays in Non-Euclidean Geometry
Editors
Vincent Alberge
Fordham University, Bronx, USAAthanase Papadopoulos
Université de Strasbourg, France
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p. v ForewordVincent AlbergeAthanase Papadopoulos
pp. vii–xx IntroductionVincent AlbergeAthanase Papadopoulos
pp. xxi–xxiii Prologuepp. xxv–xxvii Contentspp. 3–25 Area in non-Euclidean geometryNorbert A’CampoAthanase Papadopoulos
pp. 27–46 The area formula for hyperbolic trianglesElena FrenkelWeixu Su
pp. 47–56 On a problem of Schubert in hyperbolic geometryVincent AlbergeElena Frenkel
pp. 57–65 On a theorem of Lambert: medians in spherical and hyperbolic geometriesHimalaya Senapati
pp. 67–79 Inscribing a triangle in a circle in spherical geometryHimalaya Senapati
pp. 81–91 Monotonicity in spherical and hyperbolic trianglesHimalaya Senapati
pp. 93–111 De Tilly’s mechanical view on hyperbolic and spherical geometriesDmitriy Slutskiy
pp. 113–123 The Gauss–Bonnet theorem and the geometry of surfacesSon Lam Ho
pp. 125–134 On the non-existence of a perfect map from the 2-sphere to the Euclidean planeCharalampos CharitosIoannis Papadoperakis
pp. 135–150 Area preserving maps from the sphere to the Euclidean planeCharalampos Charitos
pp. 151–189 Area and volume in non-Euclidean geometryNikolay AbrosimovAlexander Mednykh
pp. 191–233 Statics and kinematics of frameworks in Euclidean and non-Euclidean geometryIvan Izmestiev
pp. 237–251 Contributions to non-Euclidean geometry IEduard Study
pp. 253–262 Notes on Eduard Study’s paper “Contributions to non-Euclidean geometry I”Annette A’Campo-NeuenAthanase Papadopoulos
pp. 262–320 Spherical and hyperbolic conicsIvan Izmestiev
pp. 321–409 Spherical, hyperbolic, and other projective geometries: convexity, duality, transitionsFrançois FillastreAndrea Seppi
pp. 413–425 Hermitian trigonometryBoumediene Et-Taoui
pp. 427–437 A theorem on equiareal triangles with a fixed baseVictor Pambuccian