| Matthew Ryan - 1866 - 50 pages
...lines (AB, С D) which are in the same plane, so as to make the two interior angles (BA С, A С D) ore **the same side of it, taken together, less than two right angles, these** two straight lines (А В, С D) shall at length meet upon that side, if sufficiently produced. Draw... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...right angles ; [I. 13. therefore the angles BGH, GHD are together less than two riglit angles. But **if a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. [Axiom 12. Therefore the... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...two right angles ; [I. 13. therefore the angles BGH, GHD are together less than two right angles. But **if a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. [Axiom 12. Therefore the... | |
| Euclides - 1870 - 270 pages
...all right angles are equal ; and 6. That when two lines are met or crossed by a third line, so that **the two interior angles on the same side of it taken together** are less than two right angles, the two lines so crossed shall meet, if continually produced. — Smith's... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...another. V. That two straight lines cannot inclose a space. VI. That if a straight line meet two other **straight lines, so as to make the two interior angles...angles, these straight lines being continually produced** shalj. at length meet upon that side, on which are the angles, which are together less than two right... | |
| William Alexander Myers - Circle-squaring - 1873 - 238 pages
...another. 9. The whole is greater than its part. 10. Two straight lines can not inclose a space. 12. **If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. ARTICLES. 1. The double... | |
| William Alexander Myers - Circle-squaring - 1874 - 207 pages
...another. 9. The whole is greater than its part. 10. Two straight lines can not inclose a space. 12. **If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles. ARTICLES. 1. The double... | |
| Edward Atkins - 1874 - 426 pages
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 12. **If a straight line meet two straight lines, so as...lines being continually produced shall at length meet** on that side on which are the angles which are less than two right angles. Explanation of Terms and... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...Wherefore upon the same base, &c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " **If a straight line meet two straight lines, so as...it taken together less than two right angles, these** two straight lines being continually produced, shall at length meet on that side on which are the angles... | |
| Edward Atkins - 1876 - 130 pages
...Therefore the angles BGH, GHD are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But **if a straight line meet two straight lines, so as...than two right angles, these straight lines being** Hence AB and CD meet, and are parallel. not unequal to z GHD. and ^EOB = iGHD, >lso ZBGH + i GHD =... | |
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