| 1903
...is only one form of the conception of parallelism. So it was formulated axiomatically as follows : " **If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." This dogmatic statement... | |
| Euclid - 1904 - 456 sider
...another, are equal. 10. Two straight lines cannot enclose a space. 11. All right angles are equal. **12. If a straight line meet two straight lines so as to make the** interior angles on one side of it together less than two right angles, these straight lines will meet... | |
| JOHN WILLAIM WITHERS - 1905
...They are as follows: 10, Two straight lines cannot inclose a space; n, All right angles are equal; **12, If a straight line meet two straight lines, so...continually produced, shall at length meet on that** side on which are the angles which are less than two right angles. 8 In nearly all modern editions,... | |
| John William Withers - 1905 - 192 sider
...They are as follows: 10, Two straight lines cannot inclose a space; n, All right angles are equal; **12, If a straight line meet two straight lines, so...continually produced, shall at length meet on that** side on which are the angles which are less than two right angles.8 In nearly all modern editions,... | |
| 1918
...parallel can be drawn to a given straight line." Either form is much simpler than Euclid's statement: **"If a straight line meet two straight lines so as...continually produced, shall at length meet on that** side on which are the angles which are less than two right angles." Playfair himself laid no claim... | |
| Joseph Gregory Horner - 1906
...equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose **a space. 11. All right angles are equal to o,ne another....continually produced, shall at length meet on that** side on which are the angles which are less than two right angles. Axis. — This term has numerous... | |
| 1906
...equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose **a space. 11. All right angles are equal to one another....continually produced, shall at length meet on that** side on which are the angles which are less than two right angles. Axis. — This term has numerous... | |
| Ernst Mach - 1906 - 144 sider
...system is found the so-called Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : **"If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." Euclid easily proves... | |
| Ernst Mach - 1906 - 144 sider
...system is found the so-called Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : **"If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." Euclid easily proves... | |
| Henry Heathcote Statham - 1907 - 281 sider
...248-252. t It may save some readers the trouble of referring to their Euclid to print the axiom here : " **If a straight line meet two straight lines so as to make the** interior angles on one side of it together less than two right angles, these straight lines will meet... | |
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