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

## Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ...

Robert E. Krebs, Carolyn A. Krebs - Science, Ancient - 2003 - 408 pages
...are given. (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 the angles are less than...

## The Way We Think: Conceptual Blending And The Mind's Hidden Complexities

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...

## The Foundations of Mathematics

Paul Carus - Mathematics - 2004 - 148 pages
...as follows: "But those straight lines which, with another straight * aJriif/iare. * Ktnva.1 trmuu. line falling upon them, make the interior angles on the same side less than two right angles, do meet if continually produced." Now this is exactly a point that calls for proof. Proof was then,...

## A Long Way from Euclid

Constance Reid - Mathematics - 2004 - 306 pages
...The famous fifth postulate stated as follows: 7/ 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, will meet on that side on which the angles are less...

## Real Analysis and Applications: Including Fourier Series and the Calculus of ...

Frank Morgan - Mathematics - 218 pages
...¡aspr] EIOIV at icov ouo opucov EXaaaoveç. [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...

## Philosophy in the Ancient World: An Introduction

James A. Arieti - Philosophy, Ancient - 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...

## Euclid: The Great Geometer

Chris Hayhurst - Juvenile Nonfiction - 2005 - 118 pages
...follows: 4. All right angles are equal to one another. 5. 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...

## Define Universe and Give Two Examples: A Comparison of Scientific and ...

Barton E. Dahneke - Religion - 2006 - 692 pages
...Euclid's fifth postulate, his parallel postulate, reads: "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...