Books Books
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.
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 26
by Euclides - 1845

## Studies in Non-Euclidian Geometry

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...

## The Anatomy of Science

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...

## Non-Euclidean Geometry: A Critical and Historical Study of Its Development

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...

## History of Mathematics, Volume 2

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...

## The Poincaré Half-plane: A Gateway to Modern Geometry

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...

## An Introduction to Logic

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...

## Mathematics: A Concise History and Philosophy: A Concise History and Philosophy

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...

## The 'Arabick' Interest of the Natural Philosophers in Seventeenth-Century ...

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...