| Timothy Walker - Geometry - 1829 - 156 pages
...straight lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets **two straight lines so as to make the two interior...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 - Geometry - 1829 - 138 pages
...straight lines cannot inclose a space. II. All right angles are 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 together, less** tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
| Dugald Stewart - 1829 - 418 pages
...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 - 442 pages
...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, Robert Simson - Geometry - 1829 - 548 pages
...Two straight lines cannot enclose a space. \ i . All right angles are equal to one another. XII. I **"If a straight line meet two straight lines, so as to make the two** i% f " interior angles on the same side of it taken together less r" than two right angles, these straight... | |
| Euclid - Euclid's Elements - 1833 - 216 pages
...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 Playfair - Euclid's Elements - 1835 - 336 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 " together less than two right angles, these straight lines being continually... | |
| John Playfair - Euclid's Elements - 1836 - 488 pages
...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 lines** oeing con" tinually produced, shall at length meet upon that side " on which are the angles which are... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 - Euclid's Elements - 1837 - 112 pages
...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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