 | Carolyn Soward Armentrout - 1925 - 116 pages
...upon his fifth postulate which states 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 the angles are less than... | |
 | Gilbert Newton Lewis - 1926 - 248 pages
...distance. 4. All right angles are equal. 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... | |
 | Roberto Bonola - Mathematics - 1955 - 452 pages
...he makes use of the following Postalate (V.): Jf a straight lin-e falling on two straight lines mahe 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... | |
 | David E. Smith - Mathematics - 1958 - 756 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 two straight lines, if produced indefinitely, meet on that side on which are the angles less than... | |
 | Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...paragraph introducing the Common Notions below. 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles [in sum], the two straight lines, if produced indefinitely, meet on that side on which are the angles... | |
 | Morris Raphael Cohen, Morris R. Cohen, Ernest Nagel - Philosophy - 1993 - 306 pages
...is impossible. "Similarly (2) we can show that the straight line falling on the parallels does not make the interior angles on the same side less than two right angles. "But (3), if it makes them neither greater nor less than two right angles, it can only make the interior... | |
 | W.S. Anglin - Mathematics - 1994 - 282 pages
...fifth postulate is the famous Parallel Postulate: 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... | |
 | G. A. Russell - History - 1994 - 346 pages
...fifth postulate, the postulate of parallels: '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... | |
 | John McCleary - Mathematics - 1994 - 338 pages
...last of his assumptions. Postulate 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... | |
 | Lines M E - Science - 1994 - 304 pages
...original form as follows: 5. If a straight line falling across two straight lines makes the sum of the interior angles on the same side less than two right angles, then the two straight lines intersect, if sufficiently extended, on that side. This implies, in particular,... | |
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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. 
