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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. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 21
των Euclides - 1853 - 147 σελίδες
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The Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 274 σελίδες
...and the fifth is the famous ParallelPosfculate : " 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 Elements of Non-Euclidean Geometry

Duncan M'Laren Young Sommerville - 1914 - 274 σελίδες
...angles, and the fifth is the famous ParaDelPcetulate : " If a straight line falling on two straight lines make the interior angles on the same side less than two right ingles, the two straight lines, if produced indefinitely, meet on that side on which are the angles...

The Texas Mathematics Teachers' Bulletin, Τόμοι 1-7

1915
...use of Euclid's fifth postulate, which reads: "If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two lines, if produced indefinitely, meet on that side on which are the angles less than two right...

The Elements of Non-Euclidean Plane Geometry and Trigonometry

Horatio Scott Carslaw - 1916 - 179 σελίδες
...to parallel lines, which he enunciates as follows : 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 American Mathematical Monthly: The Official Journal of the ..., Τόμος 27

1920
...also the eleventh or twelfth axiom) states: "IS 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 sid e on which are the angles less than...

Mathematical Philosophy: A Study of Fate and Freedom; Lectures for Educated ...

Cassius Jackson Keyser - 1922 - 466 σελίδες
...single utterance in the history of science. It is this: // 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 Teaching of Geometry in Schools: A Report Prepared for the Mathematical ...

Mathematical Association - 1923 - 74 σελίδες
...University Press, 3 vols., 1908) : Postulate 5. 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...

Mathematical Philosophy: A Study of Fate and Freedom; Lectures for Educated ...

Cassius Jackson Keyser - 1925 - 466 σελίδες
...single utterance in the history of science. It is this: // 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...

Studies in Non-Euclidian Geometry

Carolyn Soward Armentrout - 1925 - 100 σελίδες
...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 - 1926 - 221 σελίδες
...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...




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