| 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 - 1868 - 410 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
...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 - 512 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... | |
| Euclides - 1881
...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... | |
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