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" That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 21
von Euclides - 1853 - 147 Seiten
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An Introduction to Logic

Morris Raphael Cohen, Morris R. Cohen, Ernest Nagel - 1993 - 232 Seiten
...is impossible. "Similarly (2) we can show that the straight line falling on the parallels does not make the interior angles on the same side less than two right angles. "But (3), if it makes them neither greater nor less than two right angles, it can only make the interior...
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Mathematics: A Concise History and Philosophy: A Concise History and Philosophy

W.S. Anglin - 1994 - 261 Seiten
...fifth postulate is the famous Parallel Postulate: if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
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The 'Arabick' Interest of the Natural Philosophers in Seventeenth-Century ...

G. A. Russell - 1994 - 320 Seiten
...fifth postulate, the postulate of parallels: 'That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
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The Nineteenth Century

C. L. Ten - 2003 - 466 Seiten
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Geometry from a Differentiable Viewpoint

John McCleary, John Mac Cleary - 1994 - 308 Seiten
...last of his assumptions. Postulate V. That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
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The Soul of Science: Christian Faith and Natural Philosophy

Nancy R. Pearcey, Nancy Pearcey, Charles B. Thaxton - 1994 - 298 Seiten
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Foundations of Hyperbolic Manifolds

John G. Ratcliffe - 1994 - 747 Seiten
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On the Shoulders of Giants

Lines M E - 1994 - 296 Seiten
...original form as follows: 5. If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended, on that side. This implies, in particular,...
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The Heritage of Thales

W.S. Anglin, J. Lambek - 1998 - 331 Seiten
...should be listed as an axiom instead. V. That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
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