 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 - Page 38by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | 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, the two straight lines, extended indefinitely, intersect on the side of the angles less than two right angles,... | |
 | 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 the two... | |
 | John Stillwell - Mathematics - 2004 - 576 pages
...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... | |
 | 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... | |
 | I. Grattan-Guinness - Mathematics - 2003 - 980 pages
...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 two right... | |
 | 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 two right... | |
 | 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 the two... | |
 | Constance Reid - Mathematics - 2004 - 306 pages
...right angles are equal to one another. 5. That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are 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 the two... | |
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