Euclid Or Einstein: A Proof of the Parallel Theory and a Critique of Metageometry, Band 1

accepted actual acute already analytic apply argument assume assumption asymptotes attempts base becomes bodies Bolyai called complete conception concerned conclusion connection considered consistent construction continuum contradictory curved definition demonstration difficulty dimensions direction distance doubt Einstein element entirely equal equidistant established Euclid Euclidean geometry evident existence experience extension fact fifth postulate finite follows further give given hypothesis idea infinite kind knowledge least less limit Lobatschewsky logical magnitude mathematics matter means measure mechanics meet merely method motion nature necessary never non-Euclidean Geometry objection opposite parallel lines parallel theory perpendiculars physical plane position possible principle proof proposition prove pure quantity question reality reason relation Relativity Riemann right angles Saccheri sense shown sides simply space sphere spherical straight line supposed surface term theory thing thought tion triangle true truth unit universe whole