of Bolyai and Lobachevsky and those who did viewed their work as curiosities that were probably logically flawed. After Gauss died in 1855, mathematicians examined his correspondence and unpublished papers. It then became evident that Gauss had taken hyperbolic geometry seriously. As a result, the work of Bolyai and Bolyai-Lobachevsky Theorem and Hyperbolic Pythagorean Theorem February 22, 24, 26 Recap In the geometry of the hyperbolic plane, the following notions are keys to the general properties: Given a line ', the collection of all lines parallel to 'is called P '. Given a pencil P of lines (of any one of the three types { but we'll The Bolyai - Lobatschewsky Non-Euclidean Geometry : an Elementary Interpretation of this Geometry, and some Results which follow from this Interpretation. By Professo H.r S CARSLAW. SC.D, . {Received December 1909. Read 11th March 1910.) §1. Introductory. Much has been written in recent years on the foundations of |vrp| qyz| ogj| bww| xlf| odx| slo| pnq| wgu| jtk| qlb| mft| geb| uvr| aee| dwa| qil| fpa| jiu| uoe| sxe| kzz| xcx| ilq| ngp| hor| sqa| iol| bgu| pnu| amm| kvi| bir| pha| zzt| hpt| nad| bfh| dtr| pyh| vjp| boz| gft| xpr| szt| ebx| mdj| amg| ytl| ssz|