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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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Smarandache Manifolds

Howard Iseri - 2002 - 97 Seiten
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All the Mathematics You Missed: But Need to Know for Graduate School

Thomas A. Garrity - 2002 - 378 Seiten
...Euclid's beginnings. Fifth Postulate: 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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Mathematical Treks: From Surreal Numbers to Magic Circles

Ivars Peterson - 2002 - 186 Seiten
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Greek Science of the Hellenistic Era: A Sourcebook

Georgia Lynette Irby-Massie, Paul Turquand Keyser - 2002 - 440 Seiten
...equal one to another, [space is homogenous] 5. If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, die two straight lines, extended indefinitely, intersect on die side of die angles less than two right...
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Companion Encyclopedia of the History and Philosophy of the ..., Band 2

I. Grattan-Guinness - 2003 - 980 Seiten
...- the parallel postulate. This is the claim '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 the angles are less than...
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The Cambridge History of Science: Volume 5, The Modern Physical and ...

David C. Lindberg, Mary Jo Nye, Roy Porter, Ronald L. Numbers - 2003 - 714 Seiten
...fifth, or paralled postulate, which states: "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 Way We Think: Conceptual Blending And The Mind's Hidden Complexities

Gilles Fauconnier, Mark Turner - 2008 - 464 Seiten
...require what is known as 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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Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ...

Robert E. Krebs, Carolyn A. Krebs - 2003 - 408 Seiten
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The Foundations of Mathematics

Paul Carus - 2004 - 149 Seiten
...as follows: "But those straight lines which, with another straight * aJriif/iare. * Ktnva.1 trmuu. line falling upon them, make the interior angles on...the same side less than two right angles, do meet if continually produced." Now this is exactly a point that calls for proof. Proof was then, as ever...
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János Bolyai, Non-Euclidean Geometry, and the Nature of Space

Jeremy Gray - 2004 - 264 Seiten
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