| Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...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.... | |
| Isaac Todhunter - 1867 - 426 σελίδες
...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 - 434 σελίδες
...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 - 270 σελίδες
...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 - 136 σελίδες
...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 - 376 σελίδες
...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 - 588 σελίδες
...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 - 238 σελίδες
...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 - 428 σελίδες
...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 - 207 σελίδες
...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... | |
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