 | Richard Anthony Proctor - 1884 - 422 lapas
...lines cannot enclose a space, and the axiom' on which the theory of parallel lines is based. But ' a more extended experience and more accurate measurements...geometry, accurately representing the properties of the space ' in which they lived.' Be it noted, Professor Cayley here supposes the inhabitants of the spherical... | |
 | 1884 - 864 lapas
...straight lines cannot enclose a space, and the axiom " on which the theory of parallel lines is based. But "a more extended experience and more accurate measurements...geometry, accurately representing the properties of the space "in which they lived." Be it noted, Professor Cayley here supposes the inhabitants of the spherical... | |
 | 1884 - 594 lapas
...that they had by experience establishes the axiom that two straight Unes cannot inclose a space, and the axiom as to parallel lines. A more extended experience...were each of them false ; and that any two lines, if producec far enough each way, would meet in two points they would in fact arrive at a spherical geometry... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1893 - 554 lapas
...that they had by experience established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience...accurate measurements would teach them that the axioms, each of them, are false, and that any two lines if produced far enough each way, would meet in two... | |
 | 1893 - 562 lapas
...that they had by experience established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience...accurate measurements would teach them that the axioms, each of them, are false, and that any two lines if produced far enough each way, would meet in two... | |
 | 1883 - 1060 lapas
...that they had by experience established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience...would teach them that the axioms were each of them ialsc; and that any two lines if produced far enough each way would meet in two points : they would... | |
 | 1884 - 1106 lapas
...that they had by experience established the axiom that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience...of them false ; and that any two lines if produced for enough each way, would meet in two points : they would in fact arrive at a spherical geometry,... | |
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A more extended experience and more accurate measurements would teach them that the axioms were each of them false ; and that any two lines, if produced far enough each way, would meet in two points; they would, in fact, arrive at a spherical geometry... 