 | 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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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. 
