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 ## Monographs on Topics of Modern Mathematics: Relevant to the Elementary Field

Jacob William Albert Young - Mathematics - 1911 - 432 pages
...fifth postulate of Euclid reads as follows: "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 Geometry

Duncan M'Laren Young Sommerville - Geometry, Non-Euclidean - 1914 - 291 pages
...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... ## Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...2007. Euclid's Postulate 5 [The Parallel Axiom]. 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 Elements of Non-Euclidean Geometry

...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, Volumes 1-7

Mathematics - 1915 - 830 pages
...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 - Geometry - 1916 - 193 pages
...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 ..., Volume 27

Mathematicians - 1920 - 520 pages
...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 - Mathematics - 1922 - 492 pages
...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 - Geometry - 1923 - 88 pages
...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... 