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... The Element of Geometry - Side 19av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
| Dugald Stewart - 1854 - 452 sider
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
| Euclides - 1855 - 270 sider
...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, \ so as to make the two interior...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted... | |
| John Playfair - 1855 - 334 sider
...therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken " which are less than two right angles." Instead of this proposition, which, though true, is by no... | |
| John Playfair - 1856 - 346 sider
...therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as to make the two interior...' produced, shall at length meet upon that side on w^^^ <»•« the angle* " which are less than two right angles." Instead of this proposition, which,... | |
| Robert Rawson - 1856 - 178 sider
...cannot inclose 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 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 sider
...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 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 sider
...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 sider
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as...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 sider
...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 sider
...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,... | |
| |