 A straight line fits upon itself in all its positions. By this I mean that during the revolution of the surface containing it the straight line does not change its place, if it goes through two unmoving points in the surface : (ie, if we turn the surface...  Geometrical Researches on the Theory of Parallels - Side 1av Nikolaĭ Ivanovich Lobachevskiĭ - 1891 - 50 siderUten tilgangsbegrensning - Om denne boken
 | 1896 - 368 sider
...conflict with Proposition I of Lobatschewsky's Theory of Parallels. Says the Russian Pangeoraeter—"A straight line fits upon itself in all its positions....two points of the line, the line does not move)." These statements can not be made of any arc of any circle, and, hence, can not be made of Riemannian... | |
 | Paul Carus - 1909 - 682 sider
...and quite a number of the initial theorems. He defines the straight line in an original way saying: "A straight line fits upon itself in all its positions....two points of the line, the line does not move)." Now it is one thing to give us an idea of an object and quite another to so define it that its essential... | |
 | Roberto Bonola - 1955 - 452 sider
...multitode of those theorems whose proofs present no difficulties, 1 prefix here only those of which a knowledge is necessary for what follows. 1. A straight...through two unmoving points in the surface: (ie, if we torn the surface containing it ahout two points of the line, the line does not move.) 12 THEOEY OP... | |
 | 1896 - 740 sider
...conflict with Proposition I of Lobatschewsky's Theory of Parallels. Says the Russian Pangeometer — "A straight line fits upon itself in all its positions....two points of the line, the line does not move)." These statements can not be made of any arc of any circle, and, hence, can not be made of Riemannian... | |
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