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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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Using History to Teach Mathematics: An International Perspective

Victor J. Katz - Mathematics - 2000 - 284 pages
...also in Heath's translation from Heiberg: 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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The Norton History of the Mathematical Sciences: The Rainbow of Mathematics

I. Grattan-Guinness - Mathematics - 1998 - 817 pages
...formulated a postulate in terms of «o«-parallelism: 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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Great Muslim Mathematicians

Mohaini Mohamed - Islamic civilization - 2000 - 165 pages
...postulate as stated in most manuscript is as follows: 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 will, if produced indefinitely, meet on that side on which are the angles less...
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Geometry Civilized: History, Culture, and Technique

J. L. Heilbron - Mathematics - 2000 - 309 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 straight lines. if continued indefinitely. meet on that side on which lie the angles less than...
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The Rainbow of Mathematics: A History of the Mathematical Sciences

Ivor Grattan-Guinness - Mathematics - 2000 - 817 pages
...formulated a postulate in terms of «o«-parallelism: 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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Methods of Geometry

James T. Smith - Mathematics - 2000 - 486 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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A Course in Modern Geometries

Judith Cederberg - Mathematics - 2004 - 441 pages
...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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Mathematics and the Roots of Postmodern Thought

Vladimir Tasiąc, Associate Professor of Mathematics and Member of the Faculty of Interdisciplinary Studies Vladimir Tasic - Mathematics - 2001 - 189 pages
...All right angles are mutually congruent. P5. 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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Time and Space

Barry Dainton - Philosophy - 2001 - 386 pages
...version. Euclid's version is "If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended on that side." 3. In a letter to Bessel,...
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Cognitive Dimensions of Social Science

Mark Turner Professor of English and Member of the Doctoral Faculty in Neuroscience and Cognitive Science University of Maryland - Language Arts & Disciplines - 2001 - 192 pages
...propositions, he made use of the parallel axiom: "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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