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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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Side 19
av Royal Military Academy, Woolwich - 1853
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The Way We Think: Conceptual Blending And The Mind's Hidden Complexities

Gilles Fauconnier, Mark Turner - 2008 - 464 sider
...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 - 376 sider
...are given. (4) All right angles are equal. (5) 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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The Foundations of Mathematics

Paul Carus - 2004 - 148 sider
...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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A Long Way from Euclid

Constance Reid - 2004 - 292 sider
...The famous fifth postulate stated as follows: 7/ 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, will meet on that side on which the angles are less...
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Real Analysis and Applications: Including Fourier Series and the Calculus of ...

Frank Morgan - 197 sider
...¡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...
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Philosophy in the Ancient World: An Introduction

James A. Arieti - 2005 - 386 sider
...other. The fifth postulate is quite different: 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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Define Universe and Give Two Examples: A Comparison of Scientific and ...

Barton E. Dahneke - 2006 - 661 sider
...Euclid's 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...
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Euclid: The Great Geometer

Chris Hayhurst - 2005 - 112 sider
...follows: 4. 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...
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此零非彼O

洪萬生 - 2006 - 353 sider
...another in either direction. S5^ rWT8£*J ШРТ : 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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Space-Time, Relativity, and Cosmology

Jose Wudka - 2006 - 320 sider
...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...
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