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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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Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 434 Seiten
...by Euclid in his Postulate 5 as follows : " 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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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 434 Seiten
...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 Seiten
...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 - 274 Seiten
...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, Bände 1-7

1915 - 830 Seiten
...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 Seiten
...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 ..., Band 27

1920 - 520 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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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