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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 - Seite 21
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch

Circles: A Mathematical View

Dan Pedoe - 1995 - 102 Seiten
...Euclidean geometry from other geometries, declares: 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 the side on which the angles are less than...
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Reconceiving Mathematics Instruction: A Focus on Errors

Raffaella Borasi - 1996 - 321 Seiten
...this axiom was stated by Euclid as follows: 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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Mathematics: The Science of Patterns: The Search for Order in Life, Mind and ...

Keith Devlin - 1996 - 224 Seiten
...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...
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Plato's Parmenides

Plato - 1984 - 351 Seiten
...Euclidean 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...
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Episodes from the Early History of Mathematics, Band 13

Asger Aaboe - 1964 - 133 Seiten
...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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Flavors of Geometry

Silvio Levy - 1997 - 194 Seiten
...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...
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Geometry: Plane and Fancy

David A. Singer - 1998 - 162 Seiten
...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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Squaring the Circle: The War Between Hobbes and Wallis

Douglas M. Jesseph - 1999 - 419 Seiten
...book 1 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...
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Space from Zeno to Einstein: Classic Readings with a Contemporary Commentary

Nick Huggett - 1999 - 274 Seiten
...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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Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 278 Seiten
...one 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...
Eingeschränkte Leseprobe - Über dieses Buch




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