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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 23
by Euclides - 1816 - 528 pages
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Geometry: Plane and Fancy

David A. Singer - Mathematics - 1998 - 176 pages
...all right angles are equal to one another. 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 produced indefinitely, meet on that side on which are the angles less than...
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Numbers and Geometry

John Stillwell - Mathematics - 1997 - 343 pages
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Posidonius: Volume 3, The Translation of the Fragments

Posidonius - Literary Criticism - 2004 - 434 pages
...controversy is Euclid's notorious fifth postulate: 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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Computational Optimization: A Tribute to Olvi Mangasarian, Volume 1

Olvi L. Mangasarian, Jong-Shi Pang - Mathematics - 1999 - 626 pages
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - Philosophy - 1999 - 292 pages
...all right angles are equal to one another. 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 produced indefinitely, meet on that side on which are the angles less than...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...one another in either direction. POSTULATE 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 produced indefinitelv, meet on that side on which are the angles less than...
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Squaring the Circle: The War Between Hobbes and Wallis

Douglas M. Jesseph - Mathematics - 1999 - 440 pages
...book 1 is the notorious parallel postulateIt asserts "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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Wiley Encyclopedia of Electrical and Electronics Engineering, Volumes 1-24

John G. Webster - Science - 1999 - 776 pages
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The Workings of Language: From Prescriptions to Perspectives

Rebecca S. Wheeler - Education - 1999 - 268 pages
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