| Euclides - 1855
...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 - 318 Seiten
...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... | |
| Robert Rawson - 1856
...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
...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,... | |
| Robert Potts - 1860 - 361 Seiten
...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...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.... | |
| Eucleides - 1860
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to **two right ^ angles. These straight lines being continually produced, shall at length meet** upon that side on which are the angles which are less than tiro right angles. f They are equidistant.... | |
| Euclides - 1863
...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
...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 - 1864
...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. PROBLEM.... | |
| Euclides - 1865
...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... | |
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