| 1892
...at least one which is not axiomatic.3 This is the axiom of parallels, which reads as follows : — " **If a straight line meet two straight lines so as to...on the same side of it taken together less than two** right-angles, these straight lines, being continually produced, shall at length meet on that side on... | |
| Joseph Hughes - 1883
...; and also the two interior angles on the same side toeether equal to two right angles. Axiom xii. **If a straight line meet two straight lines so as to...on the same side of it taken together less than two** ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on... | |
| Euclides - 1883 - 96 sider
...Note.— The converse of this proposition, that "if a straight line meeting two other straight lines **make the two interior angles on the same side of it taken together less than two right angles,** the two lines will, if produced tar enough) meet on that Bide on which are the angles less than two... | |
| Euclides - 1884
...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.... | |
| 1884
...and thus is it proved that all right angles are equal.* Axiom 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 arc less than two right angles." Dr. Simson, admitting... | |
| Stewart W. and co - 1884
...figure which has all its sides equal, but its angles are not right angles. 3. 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. Show that the following... | |
| Euclides - 1884
...be much better, however, not to discuss it until we have made some further progress in the subject. **12. If a straight line meet two straight lines so...together less than two right angles, these straight** lines,being continually produced, shall at length meet on that side on which are the angles which are... | |
| Stewart W. and co - 1884
...All right angles are equal to one another. XII. " If a straight line meets two straight lines, •o **as to make the two interior angles on the same side...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. To describe... | |
| James Gow - 1884 - 323 sider
...which the last three are 10. Two straight lines cannot enclose a space: 11. All right angles are equal: **12. If a straight line meet two straight lines, so...make the two interior angles on the same side of it** together less than two right angles, these straight lines will meet if produced on that side. Of these... | |
| National cyclopaedia - 1884
...as stated by Euclid it is not a true axiom. It runs thus — 44 If a straight line meets two other **straight lines, so as to make the two interior angles on the same side of it, taken** j together, less than two right angles ; these straight lines, being continually produced, shall at... | |
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