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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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Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ...

Robert E. Krebs, Carolyn A. Krebs - 2003 - 376 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 - 292 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 - 197 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 - 386 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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此零非彼O

洪萬生 - 2006 - 353 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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Euclid: The Great Geometer

Chris Hayhurst - 2005 - 112 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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Define Universe and Give Two Examples: A Comparison of Scientific and ...

Barton E. Dahneke - 2006 - 661 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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From Calculus to Computers: Using the Last 200 Years of Mathematics History ...

Amy Shell-Gellasch, Dick Jardine - 2005 - 255 Seiten
...English as given in [34], Appendix A): (EFP) If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, then the two lines (if extended indefinitely) will meet on that side on which the angles are less than...
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The Cambridge History of Eighteenth-century Philosophy, Band 1

Knud Haakonssen - 2006 - 1407 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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