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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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Posidonius: Volume 3, The Translation of the Fragments

Posidonius - 2004 - 434 Seiten
...controversy is Euclid's notorious fifth postulate: 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 Workings of Language: From Prescriptions to Perspectives

Rebecca S. Wheeler - 1999 - 268 Seiten
...propositions appeared to require 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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Great Muslim Mathematicians

Mohaini Mohamed - 2000 - 192 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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The Rainbow of Mathematics: A History of the Mathematical Sciences

Ivor Grattan-Guinness - 2000 - 836 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...
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Methods of Geometry

James T. Smith - 2000 - 510 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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Geometry Civilized: History, Culture, and Technique

J. L. Heilbron - 2000 - 344 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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The Norton History of the Mathematical Sciences: The Rainbow of Mathematics

I. Grattan-Guinness - 1998 - 846 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...
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Using History to Teach Mathematics: An International Perspective

Victor J. Katz - 2000 - 284 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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A Course in Modern Geometries

Judith Cederberg - 2004 - 472 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...
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Order and Disorder

David Z. Rich - 2001 - 270 Seiten
...parallel axiom, which as Euclid stated as: "If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the two straight lines if extended will meet on that side of the straight line on which the angles...
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