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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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Seite 19
von Royal Military Academy, Woolwich - 1853
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The Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 Seiten
...paragraph introducing the Common Notions below. 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles [in sum], the two straight lines, if produced indefinitely, meet on that side on which are the angles...
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Mathematics: A Concise History and Philosophy: A Concise History and Philosophy

W.S. Anglin - 1994 - 283 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 Nineteenth Century

C. L. Ten - 2003 - 466 Seiten
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The 'Arabick' Interest of the Natural Philosophers in Seventeenth-Century ...

G. A. Russell - 1994 - 346 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 Soul of Science: Christian Faith and Natural Philosophy

Nancy Pearcey, Nancy R. Pearcey, Charles B. Thaxton - 1994 - 302 Seiten
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Geometry from a Differentiable Viewpoint

John McCleary - 1994 - 338 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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Foundations of Hyperbolic Manifolds

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

Lines M E - 1994 - 304 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 Search for Understanding

Richard L. Franklin - 1995 - 236 Seiten
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