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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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Methods of Geometry

James T. Smith - 2000 - 486 Seiten
...all right angles are equal to one another. 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 produced indefinitely, meet on that side on which are the angles less than...
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The Rainbow of Mathematics: A History of the Mathematical Sciences

Ivor Grattan-Guinness - 2000 - 817 Seiten
...formulated a postulate in terms of «o«-parallelism: 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

The Norton History of the Mathematical Sciences: The Rainbow of Mathematics

I. Grattan-Guinness - 1998 - 817 Seiten
...formulated a postulate in terms of «o«-parallelism: 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

Geometry Civilized: History, Culture, and Technique

J. L. Heilbron - 2000 - 309 Seiten
...all right angles are equal to one another. 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 straight lines. if continued indefinitely. meet on that side on which lie the angles less than...
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Using History to Teach Mathematics: An International Perspective

Victor J. Katz - 2000 - 261 Seiten
...also in Heath's translation from Heiberg: 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 produced indefinitely, meet on that side on which are the angles less than...
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Excursions Into Mathematics: The Millennium Edition

Anatole Beck, Michael N. Bleicher, Donald Warren Crowe - 2000 - 499 Seiten
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Qualitative Spatial Change

Antony Galton, Reader in Knowledge Representation Antony Galton - 2000 - 409 Seiten
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Great Muslim Mathematicians

Mohaini Mohamed - 2000 - 165 Seiten
...postulate as stated in most manuscript is as follows: 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 will, if produced indefinitely, meet on that side on which are the angles less...
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A Course in Modern Geometries

Judith Cederberg - 2004 - 441 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

Mathematical Logic

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