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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. "
Pure Mathematics - Seite 118
von Leslie Leland Locke - 1909 - 324 Seiten
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Introduction and books 1,2

Euclid - 1908 - 550 Seiten
...rat Svo rvOttas cV avupov aiynriirrct)', itf> a /«'fj»; curif at rwv Suo op$u>v cAaaxrom. 7/fa/, »/"a straight line falling on two straight lines...on that side on which are the angles less than the ht'fl right angles. Although Aristotle gives a clear idea of what he understood by a postulate, he...
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Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 432 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...which are the angles less than the two right angles." This is a consequence of our assumption, for let the rays AC and BD be such that the sum of the ~k...
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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...which are the angles less than the two right angles." This is a consequence of our assumption, for let the rays AC and BD be such that the sum of the angles...
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The Teaching of Geometry

David Eugene Smith - 1911 - 360 Seiten
...modern scholars. 5. That, if a straight line falling on two straight lines make the interior angle on the same side less than two right angles, the two...which are the angles less than the two right angles. This famous postulate, long since abandoned in teaching the beginner in geometry, is a remarkable evidence...
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The Teaching of Geometry

David Eugene Smith - 1911 - 358 Seiten
...straight line falling on two straight lines make the interior angle on the same side less than two rigfd angles, the two straight lines, if produced indefinitely,...which are the angles less than the two right angles. This famous postulate, long since abandoned in teaching the beginner in geometry, is a remarkable evidence...
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Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 427 Seiten
...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 angles." Under the term non-Euclidean geometry we shall understand a system of geometry which...
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The Teaching of Geometry

David Eugene Smith - 1911 - 370 Seiten
...fulling on two straight lines make the interior an; lie on the same side less than two right iinylefs, the two straight lines, if produced indefinitely, meet on that side on ivhich are the angles less than the two right angle s. This famous postulate, long since abandoned...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 436 Seiten
...hoheren Standpunkte aus (Leipzig, 1909), Bd. 2, p. 884. 2007. Euclid's Postulate 5 [The Parallel Axiom]. That, if a straight line falling on two straight lines...which are the angles less than the two right angles. — EUCLID. The Thirteen Books of Euclid's Elements [TL Heath] Vol. 1 (Cambridge, 1908), p. 202. 2008....
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The Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 291 Seiten
...fourth asserts the equality of all right angles, and the fifth is the famous ParallelPosfculate : " If a straight line falling on two straight lines make...meet on that side on which are the angles less than two right angles." 3. Attempts to prove the parallel-postulate. It seems impossible to suppose that...
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The Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 588 Seiten
...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 less than two right angles." 3, Attempts to prove the parallel-postulate. It seems impossible to suppose that...
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