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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. "
Elements of Geometry and Trigonometry - الصفحة 38
بواسطة Adrien Marie Legendre - 1852 - عدد الصفحات: 432
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The Heritage of Thales

W.S. Anglin, J. Lambek - 1998 - عدد الصفحات: 347
...should be listed as an axiom instead. V. 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 two right...
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Mathematics: The Science of Patterns: The Search for Order in Life, Mind and ...

Keith Devlin - 1996 - عدد الصفحات: 228
...All right angles are equal to one Postulate 5 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 the two...
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The Dialogues of Plato, Volume 4: Plato’s Parmenides, Revised Edition

Plato - 1984 - عدد الصفحات: 372
...space (I, Postulate 5, trans. Heath): "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...
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Episodes from the Early History of Mathematics, المجلد 13

Asger Aaboe - 1963 - عدد الصفحات: 154
...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 the two...
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Numbers and Geometry

John Stillwell - 1997 - عدد الصفحات: 376
...important consequences of 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 the two...
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Flavors of Geometry

Silvio Levy - 1997 - عدد الصفحات: 212
...right angles are congruent to one another. 5. 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 extended indefinitely, meet on that side on which the angles are less than two right...
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Geometry: Plane and Fancy

David A. Singer - 1998 - عدد الصفحات: 176
...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 the two...
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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - عدد الصفحات: 292
...another in either direction. 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 indefinitelv, meet on that side on which are the angles less than the two...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - عدد الصفحات: 292
...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 the two...
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Squaring the Circle: The War Between Hobbes and Wallis

Douglas M. Jesseph - 1999 - عدد الصفحات: 440
...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 the two...
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