 | Robert Potts - 1876 - 446 σελίδες
...than the angles BGH GHD; (ax. 4.) but the angles AGH, BGH are equal to two right angles ; (1. 13.) therefore the angles BGH, GHD are less than two right...those straight lines, which with another straight line filling upon them, make the two interior angles on thie. same side less than two right angles, will... | |
 | Moffatt and Paige - 1879 - 474 σελίδες
...greater than the angles BGH, GHD (Ax. 4) But the angles AGH, BGH are equal to two right angles (I. 13), therefore the angles BGH, GHD are. less than two right angles. But if a straight line meets two straight lines so as to make the two interior angles on the same side... | |
 | Euclides - 1881 - 236 σελίδες
...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 σελίδες
...angles AGH, BGH, 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...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 σελίδες
...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 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... | |
 | 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.... | |
 | 1903 - 750 σελίδες
...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 σελίδες
...greater than the angles BGH, GHD.*° But the angles A GH, BGH are equal to two right angles; ['• 'Si therefore the angles BGH, GHD are less than two right angles. But straight lines produced indefinitely from angles less than two right angles meet ; [Post. 5] 25 therefore... | |
 | Leslie Leland Locke - 1909 - 364 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... | |
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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. 
