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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 26
by Euclides - 1845
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Real Analysis and Applications: Including Fourier Series and the Calculus of ...

Frank Morgan - Mathematics - 218 pages
...¡aspr] EIOIV at icov ouo opucov EXaaaoveç. [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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Philosophy in the Ancient World: An Introduction

James A. Arieti - Philosophy - 2005 - 420 pages
...other. The fifth postulate is quite different: 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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Euclid: The Great Geometer

Chris Hayhurst - Juvenile Nonfiction - 2005 - 118 pages
...follows: 4. All right angles are equal to one another. 5. 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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Define Universe and Give Two Examples: A Comparison of Scientific and ...

Barton E. Dahneke - Religion - 2006 - 692 pages
...Euclid's fifth postulate, his parallel postulate, reads: "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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此零非彼O

洪萬生 - Mathematics - 2006 - 378 pages
...another in either direction. S5^ rWT8£*J ШРТ : 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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Space-Time, Relativity, and Cosmology

Jose Wudka - Science - 2006 - 307 pages
...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 - Mathematics - 2005 - 276 pages
...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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What is Geometry?

Giandomenico Sica - Mathematics - 2006 - 270 pages
...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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The Cambridge History of Eighteenth-century Philosophy, Volume 1

Knud Haakonssen - Electronic reference sources - 2006 - 790 pages
...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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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to ...

William Byers - Mathematics - 2010 - 424 pages
...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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