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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.
Elements of Geometry and Trigonometry - Page 38
by Adrien Marie Legendre - 1852 - 432 pages

## 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 two right...

## The Anatomy of Science

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 the two...

## 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 two...

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

Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...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
...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...

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

G. A. Russell - History - 1994 - 346 pages
...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 two right...

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

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 the two...

## On the Shoulders of Giants

Lines M E - Science - 1994 - 304 pages
...in its 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,...