| 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 - Science - 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 - 283 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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