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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 - Side 19
av Royal Military Academy, Woolwich - 1853
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Squaring the Circle: The War Between Hobbes and Wallis

Douglas M. Jesseph - 1999 - 419 sider
...book 1 is the notorious parallel postulateIt asserts "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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Posidonius: Volume 3, The Translation of the Fragments

Posidonius - 2004 - 432 sider
...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 - 250 sider
...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 - 165 sider
...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 - 817 sider
...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 - 486 sider
...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 - 309 sider
...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 - 817 sider
...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 - 261 sider
...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 - 441 sider
...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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