| Euclides - 1881
...the two angles AGH, BGH, are equal (I. 13) to two right angles. Therefore the two angles BGH, GHD, **are less than two right angles. But those straight...another straight line falling upon them, make the** two interior angles on the same side less than two right angles, will meet together (Ax. 12) if continually... | |
| Stewart W. and co - 1884
...than BGH, GHD ; but the angles AGH, BGH, are equal to two right angles ; therefore the angles BGH GHD, **are less than two right angles; but those straight...the same side less than two right angles, do meet** together if continually "oduced ; therefore the straight lines AB, CD, if oduced far enough, shall... | |
| Euclides - 1884
...than BGH&nd GHD. (Ax. 4) But AGH and BGH are equal to two right angles ; (1. 13) therefore BGH and GHD **are less than two right angles ; "but those straight lines which, with another** falling upon them, make the interior angles on the same side of it together less than two right angles,... | |
| Alan Sanders - 1901 - 247 sider
...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.... | |
| 1903
...to prop up the argument that proves the equality of alternate angles on parallels, viz. , that — **"those straight lines which, with another straight...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... | |
| Euclid - 1908
...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... | |
| Jacob William Albert Young - 1911 - 416 sider
...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... | |
| Jacob William Albert Young - 1911 - 416 sider
...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... | |
| Robert Édouard Moritz - 1914 - 410 sider
...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... | |
| 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... | |
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