| John Stillwell - Mathematics - 2004 - 576 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... | |
| Georgia Lynette Irby-Massie, Paul Turquand Keyser - History - 2002 - 440 pages
...equal one to another, [space is homogenous] 5. If a straight line intersecting two straight lines makes **the interior angles on the same side less than two right angles,** die two straight lines, extended indefinitely, intersect on die side of die angles less than two right... | |
| Thomas A. Garrity - Mathematics - 2002 - 378 pages
...Euclid's beginnings. Fifth Postulate: 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... | |
| I. Grattan-Guinness - Mathematics - 2003 - 980 pages
...- the parallel postulate. This is the claim '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 the angles are less than... | |
| David C. Lindberg, Mary Jo Nye, Roy Porter, Ronald L. Numbers - Mathematics - 2003 - 714 pages
...fifth, or paralled postulate, which states: "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... | |
| Gilles Fauconnier, Mark Turner - Psychology - 2008 - 464 pages
...require what is known as the parallel axiom: "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 the angles are less than... | |
| Paul Carus - Mathematics - 2004 - 149 pages
...as follows: "But those straight lines which, with another straight * aJriif/iare. * Ktnva.1 trmuu. **line falling upon them, make the interior angles on...the same side less than two right angles, do meet** if continually produced." Now this is exactly a point that calls for proof. Proof was then, as ever... | |
| Constance Reid - Mathematics - 2004 - 306 pages
...The famous fifth postulate stated as follows: 7/ 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, will meet on that side on which the angles are less... | |
| Frank Morgan - Mathematics - 218 pages
...¡aspr] EIOIV at icov ouo opucov EXaaaoveç. [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... | |
| James A. Arieti - Philosophy - 2005 - 420 pages
...other. The fifth postulate is quite different: 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 the angles are less than... | |
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