| Robert Rawson - 1856
...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
...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
...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
...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
...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 - 1865
...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 - 317 Seiten
...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
...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 - 400 Seiten
...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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