BooksirmaCollected VolumeEighteen Essays in Non-Euclidean GeometryEditorsVincent AlbergeFordham University, Bronx, USAAthanase PapadopoulosUniversité de Strasbourg, FranceOverviewContentsBuy from €78.00Download PDFA subscription is required to access this book.pp. 3–25Area in non-Euclidean geometryNorbert A’CampoAthanase Papadopoulospp. 27–46The area formula for hyperbolic trianglesElena FrenkelWeixu Supp. 47–56On a problem of Schubert in hyperbolic geometryVincent AlbergeElena Frenkelpp. 57–65On a theorem of Lambert: medians in spherical and hyperbolic geometriesHimalaya Senapatipp. 67–79Inscribing a triangle in a circle in spherical geometryHimalaya Senapatipp. 81–91Monotonicity in spherical and hyperbolic trianglesHimalaya Senapatipp. 93–111De Tilly’s mechanical view on hyperbolic and spherical geometriesDmitriy Slutskiypp. 113–123The Gauss–Bonnet theorem and the geometry of surfacesSon Lam Hopp. 125–134On the non-existence of a perfect map from the 2-sphere to the Euclidean planeCharalampos CharitosIoannis Papadoperakispp. 135–150Area preserving maps from the sphere to the Euclidean planeCharalampos Charitospp. 151–189Area and volume in non-Euclidean geometryNikolay AbrosimovAlexander Mednykhpp. 191–233Statics and kinematics of frameworks in Euclidean and non-Euclidean geometryIvan Izmestievpp. 237–251Contributions to non-Euclidean geometry IEduard Studypp. 253–262Notes on Eduard Study’s paper “Contributions to non-Euclidean geometry I”Annette A’Campo-NeuenAthanase Papadopoulospp. 262–320Spherical and hyperbolic conicsIvan Izmestievpp. 321–409Spherical, hyperbolic, and other projective geometries: convexity, duality, transitionsFrançois FillastreAndrea Seppipp. 413–425Hermitian trigonometryBoumediene Et-Taouipp. 427–437A theorem on equiareal triangles with a fixed baseVictor PambuccianSupplementary MaterialPrologue9783037191965_prologue.pdf (86 KB)
pp. 125–134On the non-existence of a perfect map from the 2-sphere to the Euclidean planeCharalampos CharitosIoannis Papadoperakis
pp. 191–233Statics and kinematics of frameworks in Euclidean and non-Euclidean geometryIvan Izmestiev
pp. 253–262Notes on Eduard Study’s paper “Contributions to non-Euclidean geometry I”Annette A’Campo-NeuenAthanase Papadopoulos
pp. 321–409Spherical, hyperbolic, and other projective geometries: convexity, duality, transitionsFrançois FillastreAndrea Seppi
