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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 23
af Euclides - 1816 - 528 sider
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## The Anatomy of Science

Gilbert Newton Lewis - 1926 - 248 sider
...distance. 4. All right angles are equal. 5. 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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## Non-Euclidean Geometry: A Critical and Historical Study of Its Development

Roberto Bonola - 1955 - 452 sider
...he makes use of the following Postalate (V.): Jf a straight lin-e falling on two straight lines mahe 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 Poincaré Half-plane: A Gateway to Modern Geometry

Saul Stahl - 1993 - 320 sider
...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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## An Introduction to Logic

Morris Raphael Cohen, Morris R. Cohen, Ernest Nagel - 1993 - 306 sider
...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 - 282 sider
...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 - 346 sider
...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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## On the Shoulders of Giants

Lines M E - 1994 - 304 sider
...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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## Geometry from a Differentiable Viewpoint

John McCleary - 1994 - 338 sider
...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 Heritage of Thales

W.S. Anglin, J. Lambek - 1998 - 347 sider
...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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## Circles: A Mathematical View

Dan Pedoe - 1995 - 146 sider
...Euclidean geometry from other geometries, declares: 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 the side on which the angles are less than...
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