| Timothy Walker - 1829 - 129 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal. 12. **If a straight line meets two straight lines so as...continually produced, shall at length meet upon that side** upon which are the angles which are less than two right angles. The last of these has been added by... | |
| Timothy Walker - 1829 - 129 Seiten
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. **.If a straight line meets two straight lines so as...angles on the same side of it taken together, less** tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
| Dugald Stewart - 1829
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other **straight lines, so as to make the two interior angles on the same side** together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
| Dugald Stewart - 1829
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other **straight lines, so as to make the two interior angles on the same side** together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
| Euclid - 1833 - 183 Seiten
...equal to one another. 12. If a right line meet two right lines, so as to make See N. .the two internal **angles on the same side of it taken together less than two right angles ; these** right lines, being continually produced, shall at length meet upon that side on which are the angles,... | |
| John Radford Young - 1833 - 216 Seiten
...proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. ; If a straight line meet **two straight lines so as to make the two interior angles on the same side** \T> HAUM T> of it, taken together, less than two right angles, these straight lines being continually... | |
| John Playfair - 1835 - 316 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 to make the two interior angles on** the•same side of it taken " together less than two right angles, these straight lines being continually... | |
| John Playfair - 1836 - 471 Seiten
...Axioms, and that which was before the llth, is accounted the 10th. The 12th Axiom of Euclid is, that " **if a straight line " meets two straight lines, so as to make the two** inte" rior angles on the same side of it taken together less " than two right angles, these straight... | |
| Euclid, James Thomson - 1837 - 390 Seiten
...this proposition has been demonstrated by some writers in the following manner •. the same plane, **so as to make the two interior angles on the same...together, less than two right angles, these straight lines** shall at length meet upon that side, if they be continually produced.* PROPOSITION I. PROBLEM.f To... | |
| Euclides - 1837 - 88 Seiten
...by showing that the alternate Zs AGK, GKD are equal. PROPOSITION. " If a right line meet two right **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** right lines being continually produced, shall at length meet on that side on which are the angles which... | |
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