| Matthew Ryan - 1866 - Liczba stron: 50
...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 - 1867 - Liczba stron: 424
...cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. PROPOSITION 1. PROBLEM.... | |
| Euclid, Isaac Todhunter - 1867 - Liczba stron: 426
...therefore the angles BGH, GHD are together less than two right angles. But if a straight line meet two straight lines, so as to make the two interior...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 - Liczba stron: 270
...must be equal ; and, consequently, the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as to make the two in- QA (j| p terior angles on the same side of it taken together less than two right angles, these... | |
| Euclides, James Hamblin Smith - 1872 - Liczba stron: 376
...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 - 1873 - Liczba stron: 238
...greater than its part. 10. Two straight lines can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior...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 - 1874 - Liczba stron: 207
...greater than its part. 10. Two straight lines can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior...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 - Liczba stron: 428
...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines being continually produced shall at length meet on that side on which are the angles which are less than two right Explanation of Terms and Abbreviations.... | |
| Francis Cuthbertson - 1874 - Liczba stron: 400
...&c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as to make the two interior...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 - Liczba stron: 130
...are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But if a straight line meet two straight lines, so as to make the two interior...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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