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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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Σελίδα 177
των Peter Nicholson - 1825 - 372 σελίδες
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Space-Time, Relativity, and Cosmology

Jose Wudka - 2006 - 307 σελίδες
...postulate that was not included reads 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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From Calculus to Computers: Using the Last 200 Years of Mathematics History ...

Amy Shell-Gellasch, Dick Jardine - 2005 - 276 σελίδες
...English as given in [34], Appendix A): (EFP) If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, then the two lines (if extended indefinitely) will meet on that side on which the angles are less than...
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The Cambridge History of Eighteenth-century Philosophy, Τόμος 1

Knud Haakonssen - 2006 - 790 σελίδες
...intuition about arbitrarily distant space: 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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What is Geometry?

Giandomenico Sica - 2006 - 270 σελίδες
...Euclid's fifth postulate reads as follows: "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 Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to ...

William Byers - 2010 - 424 σελίδες
...Parallel 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...
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From Clockwork to Crapshoot

Roger G. Newton - 2007 - 366 σελίδες
...last one, which he stated this way: "If a straight line crossing two straight lines makes the sum of the interior angles on the same side less than two right angles, the two straight lines, if continued indefinitely will meet on that side on which the two angles add...
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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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Cognitive Justice in a Global World: Prudent Knowledges for a Decent Life

Boaventura de Sousa Santos - 2007 - 472 σελίδες
...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...
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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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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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