 | Euclides - 1864 - 448 pages
...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...another straight line falling upon them, make the two interior angles on the same side less than two right angles, will meet together if continually... | |
 | Euclides - 1864 - 262 pages
...BGH, GHD; (ax. 4.) but the angles A GH, BGH are equal to two right angles ; (l. 13.) therefore the 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 if continually... | |
 | Euclides - 1865 - 402 pages
...the angles AGH, BGH, are equal to two right angles ; (i. 13) therefore the angles BGH, GHD, must be less than two right angles; but ' those straight lines...angles on the same side less than two right angles, will meet together if continually produced;' (ax. 12) therefore the straight lines AB, CD, must meet... | |
 | Robert Potts - 1865 - 528 pages
...angles BGH, GHD ; (ax. 4.) but the angles AGH, BGH ate equal to two right angles; (i. 13.) therefore the angles BGH, GHD are less than two right angles ; but...another straight line falling upon them, make the two interior angles on the some side less than two right angles, will meet together if continually... | |
 | Robert Potts - 1868 - 434 pages
...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 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 if continually... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...PROPOSITION XXI. THEOREM. ' If 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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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 produced ; therefore the straight lines AB, CD, if produced far enough, shall meet ; but they never... | |
 | Euclides - 1874 - 342 pages
...angles BGH, GHD (Ax. 4), but the angles AGH, BGH are equal to two right angles (I. 13), therefore 2. The 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 if continually... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...PROPOSITION X2I. THEOREM. If 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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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 angles; but...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... | |
| |
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. 
