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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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Order and Disorder

David Z. Rich - 2001 - 254 sider
...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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Cognitive Dimensions of Social Science

Mark Turner Professor of English and Member of the Doctoral Faculty in Neuroscience and Cognitive Science University of Maryland - 2001 - 192 sider
...propositions, he made use of 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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Time and Space

Barry Dainton - 2001 - 386 sider
...version. Euclid's version is "If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended on that side." 3. In a letter to Bessel,...
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A Mathematics Sampler: Topics for the Liberal Arts

William P. Berlinghoff, Kerry E. Grant, Dale Skrien - 2001 - 602 sider
...Euclid's Fifth Postulate, which says: If a straight line falling on two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines, if extended indefinitely, meet on that side on which the angle sum is...
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Mathematics and the Roots of Postmodern Thought

Vladimir Tasi¢c, Associate Professor of Mathematics and Member of the Faculty of Interdisciplinary Studies Vladimir Tasic - 2001 - 189 sider
...All right angles are mutually congruent. P5. 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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Mathematics and Its History

John Stillwell - 2004 - 544 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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All the Mathematics You Missed: But Need to Know for Graduate School

Thomas A. Garrity - 2002 - 347 sider
...Euclid's beginnings. Fifth Postulate: 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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Greek Science of the Hellenistic Era: A Sourcebook

Georgia Lynette Irby, Georgia Lynette Irby-Massie, Paul Turquand Keyser - 2002 - 392 sider
...equal one to another, [space is homogenous] 5. If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, die two straight lines, extended indefinitely, intersect on die side of die angles less than two right...
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Companion Encyclopedia of the History and Philosophy of the ..., Volum 2

I. Grattan-Guinness - 2003 - 1806 sider
...- the parallel postulate. This is the claim '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 the angles are less than...
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The Cambridge History of Science: Volume 5, The Modern Physical and ...

David C. Lindberg, Mary Jo Nye, Roy Porter, Ronald L. Numbers, Cambridge University Press, Katharine Park, Lorraine Daston, Dorothy Ross, Theodore M. Porter - 2003 - 678 sider
...fifth, or paralled postulate, which states: "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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