Non-Euclidean Geometry: A Critical and Historical Study of Its DevelopmentOpen Court Publishing Company, 1912 - 268 σελίδες Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky. |
Άλλες εκδόσεις - Προβολή όλων
Non-Euclidean Geometry: A Critical and Historical Study of Its Development Roberto Bonola Περιορισμένη προεπισκόπηση - 1955 |
Non-Euclidean Geometry: A Critical and Historical Study of Its Development Roberto Bonola Προβολή αποσπασμάτων - 1955 |
Συχνά εμφανιζόμενοι όροι και φράσεις
absolute Acute Angle angle of parallelism Appendix axioms BOLYAI circle of inversion CLIFFORD'S Surface common perpendicular constant curvature construction corresponding cosh deduce denote distance elliptic equal equation equidistant Euclid's Postulate Euclidean Geometry Euclidean hypothesis Euclidean plane Fifth Postulate FONCENEX forces formula fundamental circle GAUSS geodesic given Horocycle Hyperbolic Geometry Ideal Displacement Ideal Geometry Ideal Length Ideal Line Ideal Points Ideal Segment improper points intersect line at infinity lines and planes LOBATSCHEWSKY LOBATSCHEWSKY-BOLYAI Math metrical middle point Non-Euclidean Geometry obtain Obtuse Angle ordinary orthogonal P₁ P₂ Parallel Postulate pencil plane geometry point at infinity PROCLUS projective geometry proof proper point properties proposition prove quadrilateral radius regard result RIEMANN right angles right-angled triangle SACCHERI sides space sphere spherical straight line surfaces of constant system of circles TAURINUS theorem theory of parallels translation Trigonometry