 Bartels went to Kasan in 1807, and Lobachevsky was his pupil. The latter's lecture notes show that Bartels never mentioned the subject of the fifth postulate to him, so that his investigations, begun even before 1823, were made on his own motion and his...  History of Modern Mathematics - Page 66by David Eugene Smith - 1896 - 81 pagesFull view - About this book
 | Mathematics - 1892 - 290 pages
...Both of these authors begin their investigations by assuming that through a given point in a plane more than one line can be drawn which shall never meet a given line. Their results, as far as they cover the same ground, are identical in substance, though different in... | |
 | Mansfield Merriman, Robert Simpson Woodward - Mathematics - 1896 - 616 pages
...Non-Euclidean Geom., Nature, 45:404; Articles on Parallels and Measurement in Encyclopaedia Britaneica, <)th edition; Vasiliev's address (German by Engel) also...to other branches of mathematics, until his death. * Fink, E., Kant als Mathematiker, Leipzig, 1889. Johann Bolyai received through his father, Wolfgang,... | |
 | David Eugene Smith - Mathematics - 1900 - 338 pages
...that the parallel axiom is to be considered an a priori truth." 1 Lobachevsky and Bolyai postulate that through a given point more than one line can be drawn parallel to a given line, and on this, together with most of the axioms, postulates, and definitions... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...that through a given point no line can be drawn parallel to a given line (spherical space) ; or such that through a given point more than one line can be drawn parallel to a given line (pseudo-spherical space). These different kinds of space differ in many of... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...that through a given point no line can be drawn parallel to a given line (spherical space) ; or such that through a given point more than one line can be drawn parallel to a given line (pseudo- spherical space). These different kinds of space differ in many of... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...that through a given point no line can be drawn parallel to a given line (spherical space) ; or such that through a given point more than one line can be drawn parallel to a given line (pseudo- spherical space). These different kinds of space differ in many of... | |
 | Cleveland Engineering Society - Engineering - 1918 - 434 pages
...Russian Lobachewsky and the Hungarian Bolyai independently brought forth a self -consistent geometry, based on the assumption, that through a given point more than one straight line can be drawn parallel to a given straight line. In 1854 the German Riemann originated... | |
 | David E. Smith - Mathematics - 1958 - 756 pages
...have been made on his own motion, and his results to have been wholly original. Early in 1826 he set forth the principles of his famous doctrine of parallels,...assumption that through a given point more than one straight line can be drawn which shall never meet a given straight line coplanar with it. The theory... | |
 | David Smith, Eugene, David Eugene Smith - Mathematics - 2007 - 85 pages
...VasOSev's address (German by Engel) also appears In the Abhajidlungen znr Geschichte der Mathematik, eleventh or thirteenth) of Euclid. The first scientific...to other branches of mathematics, until his death. * Fink, E., Kant ats Mathematifcer, Leipzig, 1889. Johann Bolyai received through his father, Wolfgang,... | |
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