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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. "
Elements of Geometry and Trigonometry - Page 38
by Adrien Marie Legendre - 1852 - 432 pages
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The Pythagorean Theorem: A 4,000-year History

Eli Maor - Mathematics - 2007 - 296 pages
...right angles are equal to one another. 5. 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 the two...
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Cognitive Justice in a Global World: Prudent Knowledges for a Decent Life

Boaventura de Sousa Santos - Law - 2007 - 472 pages
...postulate for geometry in the plane states 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 the two...
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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to ...

William Byers - Mathematics - 2010 - 424 pages
...Postulate: Postulate 5 (Parallel Postulate)6: 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 the side on which the angles are less than two right...
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Continuous Symmetry: From Euclid to Klein

William H. Barker, Roger Howe - Mathematics - 574 pages
...Here is an English translation of what it said. 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 the angles are less than two right...
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How Round is Your Circle?: Where Engineering and Mathematics Meet

John Bryant, Christopher J. Sangwin - Mathematics - 2008 - 352 pages
...angles are equal to one another, and 5. 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 extended indefinitely, meet on that side on which the angles are less than the two...
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Impossible?: Surprising Solutions to Counterintuitive Conundrums

Julian Havil - Mathematics - 2008 - 249 pages
...fifth postulate was at least cumbersome: 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...
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