 | Robert Rawson - 1856 - 178 σελίδες
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as...interior angles on the same side of it taken together lesi than two right angles, these straight lines being continually produced, shall at length meet upon... | |
 | Euclides - 1858 - 248 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...the two interior angles on the same side of it taken C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,... | |
 | Euclides - 1861 - 464 σελίδες
...to make the two int. ¿_a on the same side of it taken together less than two rt. ¿s, these two st. lines, being continually produced, shall at length meet upon that side on which the ¿s are less than two rt. ¿_a. Dof. 10, I. When a st. line standing on another st. line makes... | |
 | Euclides - 1862 - 140 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 angles. EXPLANATION OF TERMS. A... | |
 | Euclides - 1863 - 74 σελίδες
...angles measured by those equals must themselves be equal. 12. If a straight line meets two skaight lines, so as to make the two interior angles on the...it taken together less than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles... | |
 | Euclides - 1863 - 122 σελίδες
...part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to make the two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced,... | |
 | Euclides - 1865 - 402 σελίδες
...one another. IX. The whole is greater than its part. X Two straight lines cannot inclose a space. XL All right angles are equal to one another. XII. '...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... | |
 | John Playfair - 1855 - 350 σελίδες
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as...produced, shall at length meet upon that side on which are th*i angles "which ire less than two right angles." Instead of this proposition, which, though true,... | |
 | Matthew Ryan - 1866 - 50 σελίδες
...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 - 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... | |
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If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
