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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 - Seite 19
von Royal Military Academy, Woolwich - 1853
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Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ...

Robert E. Krebs, Carolyn A. Krebs - 2003 - 408 Seiten
...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 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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A Long Way from Euclid

Constance Reid - 2004 - 306 Seiten
...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 - 218 Seiten
...¡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 - 420 Seiten
...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 - 692 Seiten
...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 - 118 Seiten
...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 - 378 Seiten
...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 - 307 Seiten
...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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The Cambridge History of Eighteenth-century Philosophy, Band 1

Knud Haakonssen - 2006 - 790 Seiten
...intuition about arbitrarily distant space: 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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