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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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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 the two...
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此零非彼O

洪萬生 - Mathematics - 2006 - 378 pages
...5: [Let the following be postulated:] [T]hat 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 lit f 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 the two...
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Euclid: The Great Geometer

Chris Hayhurst - Juvenile Nonfiction - 2005 - 118 pages
...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 the two...
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Define Universe and Give Two Examples: A Comparison of Scientific and ...

Barton E. Dahneke - Religion - 2006 - 692 pages
...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 the two...
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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 the two...
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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 the two...
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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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From Clockwork to Crapshoot

Roger G. Newton - Science - 2007 - 366 pages
...fifth and 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 up to...
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The Nature of Statistical Evidence

Bill Thompson - Mathematics - 2007 - 155 pages
...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 the two...
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