| Euclides - 1881 - 236 sider
...angles PGH, GHD. But 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...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 - 272 sider
...are greater 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...two right angles, do meet together if continually** "oduced ; therefore the straight lines AB, CD, if oduced far enough, shall meet ; but they never meet,... | |
| Euclides - 1884 - 182 sider
...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,... | |
| Charles Davies, Adrien Marie Legendre - 1885 - 538 sider
...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... | |
| Alan Sanders - 1901 - 260 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 - 750 sider
...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 - 550 sider
...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... | |
| Leslie Leland Locke - 1909 - 364 sider
...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... | |
| Jacob William Albert Young - 1911 - 434 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... | |
| Jacob William Albert Young - 1911 - 432 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... | |
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