 | Euclides - 1865 - 402 sider
...Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as to make the two interior...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right... | |
 | Edward Clarke Lowe - 1866 - 172 sider
...cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as to make the two interior...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. BOOK II. • Definitions.... | |
 | Matthew Ryan - 1866 - 50 sider
...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... | |
 | Robert Potts - 1868 - 434 sider
...cannot enclose a space. XI. All right angles are equal to one another. xn. If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM.... | |
 | Euclides - 1870 - 270 sider
...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 - 1871 - 136 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...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered... | |
 | Euclides, James Hamblin Smith - 1872 - 376 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 - 588 sider
...cannot enclose a space. XL All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. Tu describe... | |
 | Euclides - 1874 - 342 sider
...cannot inclose a space. 11. All right angles are equal to one another. • If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. EXPLANATION OF TERMS.... | |
 | Francis Cuthbertson - 1874 - 400 sider
...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... | |
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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... 
