| Dan Pedoe - Mathematics - 1995 - 146 pages
...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... | |
| W.S. Anglin, J. Lambek - Science - 1998 - 347 pages
...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... | |
| Keith Devlin - Mathematics - 1996 - 228 pages
...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... | |
| Raffaella Borasi - Education - 1996 - 340 pages
...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... | |
| Asger Aaboe - Mathematics - 1963 - 154 pages
...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... | |
| Plato - Philosophy - 1984 - 372 pages
...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... | |
| Silvio Levy - Mathematics - 1997 - 212 pages
...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... | |
| David A. Singer - Mathematics - 1998 - 176 pages
...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... | |
| Posidonius - Philosophy - 2004 - 434 pages
...controversy is Euclid's notorious fifth postulate: 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... | |
| Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...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... | |
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