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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 - Side 21
av Euclides - 1853 - 147 sider
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 434 sider
...2007. Euclid's Postulate 5 [The Parallel Axiom]. 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 Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 291 sider
...and the fifth is the famous ParallelPosfculate : " 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 Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 588 sider
...angles, and the fifth is the famous ParaDelPcetulate : " If a straight line falling on two straight lines make the interior angles on the same side less than two right ingles, the two straight lines, if produced indefinitely, meet on that side on which are the angles...
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The Texas Mathematics Teachers' Bulletin, Volumer 1-7

1915 - 830 sider
...use of Euclid's fifth postulate, which reads: "If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two lines, if produced indefinitely, meet on that side on which are the angles less than two right...
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The Elements of Non-Euclidean Plane Geometry and Trigonometry

Horatio Scott Carslaw - 1916 - 193 sider
...to parallel lines, which he enunciates 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, if produced indefinitely, meet on that side on which are the angles less than...
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The American Mathematical Monthly: The Official Journal of the ..., Volum 27

1920 - 522 sider
...also the eleventh or twelfth axiom) states: "IS 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 sid e on which are the angles less than...
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Mathematical Philosophy: A Study of Fate and Freedom; Lectures for Educated ...

Cassius Jackson Keyser - 1922 - 492 sider
...single utterance in the history of science. It is this: // 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 Teaching of Geometry in Schools: A Report Prepared for the Mathematical ...

Mathematical Association - 1923 - 88 sider
...University Press, 3 vols., 1908) : Postulate 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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Mathematical Philosophy: A Study of Fate and Freedom; Lectures for Educated ...

Cassius Jackson Keyser - 1925 - 485 sider
...single utterance in the history of science. It is this: // 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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Studies in Non-Euclidian Geometry

Carolyn Soward Armentrout - 1925 - 116 sider
...upon his fifth postulate which 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 the angles are less than...
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