 | 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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If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
