János Bolyai Appendix: The Theory of SpaceF. Kárteszi, B. Szénássy Elsevier, 1 de gen. 1987 - 236 pàgines The epoch-making work of János Bolyai is presented here, together with a supplement outlining Hungarian political and science history to help the reader to get acquainted with the miserable fate of János Bolyai and with his intellectual world. A facsimile of a copy of Bolyai's original 1831 Scientia Spatii (also known as the Appendix) is included, together with a translation. Comments and notes, and a survey of the effects of his work, complete the volume. |
Frases i termes més freqüents
absolute geometry according adeoque angle of parallelism angle sum angular domain Appendix arc length atque axes axiom of parallelism axis bisector chord CK-model collineation which maps concept congruent Consequently construction corresponding curve deduced denote dihedral angle distance line elliptic endpoints equal equation erit etiam EUCLID Euclidean axiom Euclidean geometry FARKAS BOLYAI Figure GAUSS half-line half-plane Hence HILBERT's Hungarian hyperbolic geometry hyperbolic plane hypercycle hypersphere hypothesis incident interior to G intersect ipsius isogonal János JANOS BOLYAI L-line lege letter linea LOBACHEVSKY mathematical non-Euclidean geometry obtained P-model paracycle parallel lines parasphere patet pencil perpendicular plane geometry porro problem proof proved quod quovis radius relations residual system respectively right angles right triangle rotation SACCHERI secant segment space sphere G spherical triangle straight line system of axioms tangent tion triangle ABC trigonometry valid vero