| John Playfair - Geometry - 1855 - 334 pages
...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 - Euclid's Elements - 1856 - 346 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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... | |
| John Playfair - Geometry - 1855 - 350 pages
...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 which are** th*i angles "which ire less than two right angles." Instead of this proposition, which, though true,... | |
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