 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 38by Adrien Marie Legendre - 1852 - 432 pagesFull view - About this book
 | Jacob William Albert Young - Mathematics - 1911 - 432 pages
...by Euclid in his Postulate 5 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 straight lines, if produced indefinitely, meet on that side on which are the angles less than the two... | |
 | Jacob William Albert Young - Mathematics - 1911 - 434 pages
...by Euclid in his Postulate 5 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 straight lines, if produced indefinitely, meet on that side on which are the angles less than the two... | |
 | Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...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 two... | |
 | Duncan M'Laren Young Sommerville - Geometry, Non-Euclidean - 1914 - 291 pages
...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 two right... | |
 | 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 angles." The... | |
 | Horatio Scott Carslaw - Geometry - 1916 - 193 pages
...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 two... | |
 | Mathematicians - 1920 - 522 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 two right... | |
 | Cassius Jackson Keyser - Mathematics - 1922 - 492 pages
...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 two right... | |
 | 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 the two... | |
 | Cassius Jackson Keyser - Mathematics - 1925 - 485 pages
...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 two... | |
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