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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 first six books of the Elements of Euclid, with numerous exercises - Seite 21
von Euclides - 1853 - 147 Seiten
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The Non-Euclidean Revolution: With an Introduction by H.S.M Coxeter

Richard J. Trudeau - 2001 - 270 Seiten
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Miscellaneous Letters

Edward N. Haas - 2001 - 454 Seiten
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Order and Disorder

David Z. Rich - 2001 - 254 Seiten
...parallel axiom, which as Euclid stated as: "If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the two straight lines if extended will meet on that side of the straight line on which the angles...
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Time and Space

Barry Dainton - 2001 - 386 Seiten
...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 - 2001 - 192 Seiten
...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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Mathematics and the Roots of Postmodern Thought

Vladimir Tasi¢c, Associate Professor of Mathematics and Member of the Faculty of Interdisciplinary Studies Vladimir Tasic - 2001 - 189 Seiten
...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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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - 602 Seiten
...Euclid's Fifth Postulate, which says: If a straight line falling on two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines, if extended indefinitely, meet on that side on which the angle sum is...
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History of Modern Science and Mathematics, Band 3

Brian Scott Baigrie - 2002 - 246 Seiten
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Mathematics and Its History

John Stillwell - 2004 - 544 Seiten
...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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Reductionism and the Development of Knowledge

Terrance Brown, Leslie Smith - 2002 - 248 Seiten
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