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" ... a space, and the axiom as to parallel lines. 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... "
Theoretical and Practical Graphics: An Educational Course on the Theory and ... - 4. lappuse
autors: Frederick Newton Willson - 1898 - 264 lapas
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Science, 2. sējums

John Michels (Journalist) - 1883 - 874 lapas
...circle) drawn on the surface. What experience would In the first instance teach would be Euelidían geometry: there would be intersecting lines, which,...that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements would teach...
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Science, 2. sējums

John Michels (Journalist) - 1883 - 880 lapas
...What experience would in the first instance teach would be I'.n480 OCTOBKB 5, 1883.] SCIENCE. clidian geometry: there would be intersecting lines, which,...that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements would teach...
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English Mechanic and World of Science: With which are ..., 38. sējums

1884 - 594 lapas
...lines, which, produced a few mileeor so, would seem to go on diverging, and apparently paralle Unes which would exhibit no tendency to approach each other ; and the inhabitants might very wel conceive that they had by experience establishes the axiom that two straight Unes cannot inclose...
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The Collected Mathematical Papers of Arthur Cayley, 11. sējums

Arthur Cayley - 1896 - 676 lapas
...circle) drawn on the surface; what experience would in the first instance teach would be Euclidian geometry ; there would be intersecting lines which...that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements would teach...
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The Collected Mathematical Papers of Arthur Cayley, 11. sējums

Arthur Cayley - 1896 - 663 lapas
...circle) drawn on the surface; what experience would in the first instance teach would be Euclidian geometry; there would be intersecting lines which...that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements would teach...
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Educational Review, 6. sējums

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1893 - 554 lapas
...circle) drawn on the surface; what experience would in the first instance teach would be Euclidean geometry; there would be intersecting lines which...established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements...
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Educational Review, 6. sējums

1893 - 562 lapas
...circle) drawn on the surface; what experience would in the first instance teach would be Euclidean geometry; there would be intersecting lines which...established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements...
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Littell's Living Age, 159. sējums

1883 - 1060 lapas
...circle) drawn on the surface ; what experience would in the first instance teach would be Euclidian geometry; there would be intersecting lines which...established the axiom that two straight lines cannot inclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements...
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Transactions of the Pharmaceutical Meetings

1884 - 1106 lapas
...circle) drawn on the surface ; what experience would in the first instance tench would be Euclidian geometry; there would be intersecting lines which...that two straight lines cannot enclose a space, and the axiom as to parallel lines. A more extended experience and more accurate measurements would teach...
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