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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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What is Geometry?

Giandomenico Sica - 2006 - 270 Seiten
...Euclid's fifth postulate reads as follows: "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...
Eingeschränkte Leseprobe - Über dieses Buch

From Calculus to Computers: Using the Last 200 Years of Mathematics History ...

Amy Shell-Gellasch, Dick Jardine - 2005 - 276 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...
Eingeschränkte Leseprobe - Über dieses Buch

How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to ...

William Byers - 2010 - 424 Seiten
...Parallel Postulate: Postulate 5 (Parallel Postulate)6: 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 the side on which the angles are less than...
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From Clockwork to Crapshoot: A History of Physics

Roger G. Newton - 2007 - 366 Seiten
...last one, which he stated this way: "If a straight line crossing two straight lines makes the sum of the interior angles on the same side less than two right angles, the two straight lines, if continued indefinitely will meet on that side on which the two angles add...
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The Nature of Statistical Evidence

Bill Thompson - 2007 - 152 Seiten
...right angles are equal to one another. V. 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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Cognitive Justice in a Global World: Prudent Knowledges for a Decent Life

Boaventura de Sousa Santos - 2007 - 472 Seiten
...postulate for geometry in the plane states 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...
Eingeschränkte Leseprobe - Über dieses Buch

Continuous Symmetry: From Euclid to Klein

William H. Barker, Roger Howe - 574 Seiten
...Here is an English translation of what it said. 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...
Eingeschränkte Leseprobe - Über dieses Buch

The Pythagorean Theorem: A 4,000-year History

Eli Maor - 2007 - 296 Seiten
...right angles are equal to one another. 5. 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...
Eingeschränkte Leseprobe - Über dieses Buch

Impossible?: Surprising Solutions to Counterintuitive Conundrums

Julian Havil - 2008 - 249 Seiten
...the fifth postulate was at least cumbersome: 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...
Eingeschränkte Leseprobe - Über dieses Buch

How Round is Your Circle?: Where Engineering and Mathematics Meet

John Bryant, Christopher J. Sangwin - 2008 - 352 Seiten
...right angles are equal to one another, and 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 extended indefinitely, meet on that side on which the angles are less than...
Eingeschränkte Leseprobe - Über dieses Buch




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