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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. "
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - Σελίδα 177
των Peter Nicholson - 1825 - 372 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 538 σελίδες
...PROPOSITION XXI. THEOREM. // two straight lines intersect a third straight line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making...

Elements of Plane Geometry

Alan Sanders - 1901 - 260 σελίδες
...also bisected. PROPOSITION XX. THEOREM 127. If two lines are cut by a transversal, making the sum of the interior angles on the same side less than two right angles, the lines will meet if sufficiently produced. Let AB and CD be cut by EF, making Z 1 + Z 2 < 2 KA's....

The Monist, Τόμος 13

1903 - 750 σελίδες
...angles on parallels, viz. , that — "those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, do meet if continually produced." This is exactly the point to be proved, for it is only one form of the conception...

Introduction and books 1,2

Euclid - 1908 - 550 σελίδες
...right angles are equal to one another. \ 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...

Pure Mathematics

Leslie Leland Locke - 1909 - 366 σελίδες
...all right angles are equal to one another. 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...

Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 434 σελίδες
...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...

Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - 1911 - 432 σελίδες
...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...

Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - 1914 - 434 σελίδες
...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

Duncan M'Laren Young Sommerville - 1914 - 291 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 - 588 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...




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