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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 - Σελίδα 21
των Euclides - 1853 - 147 σελίδες
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The Pythagorean Theorem: A 4,000-year History

Eli Maor - 2007 - 296 σελίδες
...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...
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Continuous Symmetry: From Euclid to Klein

William H. Barker, Roger Howe - 574 σελίδες
...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...
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The Nature of Statistical Evidence

Bill Thompson - 2007 - 155 σελίδες
...right angles are equal to one another. 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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How Round is Your Circle?: Where Engineering and Mathematics Meet

John Bryant, Christopher J. Sangwin - 2008 - 352 σελίδες
...right 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...
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Impossible?: Surprising Solutions to Counterintuitive Conundrums

Julian Havil - 2008 - 249 σελίδες
...the 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...
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