6533b82afe1ef96bd128bed1
RESEARCH PRODUCT
La théorie des lignes parallèles de Johann Heinrich Lambert
Athanase Papadopoulos Guillaume Théretsubject
[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]géométrie sphérique01-00; 01-02; 01A50 ; 53-02 ; 53-03 ; 53A05 ; 53A35.Lambertspherical geometry[ MATH.MATH-HO ] Mathematics [math]/History and Overview [math.HO]hyperbolic geometryparallèlesgéométrie hyperbolique[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT][MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]parallel lines.parallel lines[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]description
International audience; The memoir "Theory of parallel lines" (1766) by Johannes Heinrich Lambert is one of the founding texts of hyperbolic geometry, even though his author conceived it as an attempt to show that this geometry does not exist. In fact, Lambert developed that theory with the hope of finding a contradiction. In doing so, he obtained several fundamental results of hyperbolic geometry. This was sixty years before the first writings of Lobachevsky and Bolyai appeared in print. This book contains the first complete translation of Lambert's memoir as well as mathematical and historical commentaries.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |