| Euclid, Isaac Todhunter - 1867 - 400 sider
...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... | |
| Robert Potts - 1868 - 410 sider
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. xn. **If a straight line meets two straight lines, so as...are the angles which are less than two right angles.** PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let... | |
| Euclides - 1870
...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 - 1871
...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...upon that side, on which are the angles, which are** together less than two right angles. The word rendered "Postulates" is in the original alrr/fiara,... | |
| Euclides, James Hamblin Smith - 1872 - 349 sider
...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... | |
| Henry Major - 1873
...X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...the angles which are less than two right angles."** PROPOSITION I. Tu describe an equilateral triangle on a given finite straight line. Let AB be the given... | |
| William Alexander Myers - 1873 - 164 sider
...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
...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.... | |
| WILLIAM ALEXANDER MYERS - 1874
...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... | |
| Francis Cuthbertson - 1874 - 349 sider
...&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... | |
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