 | John Playfair - 1835 - 336 sider
...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 - 148 sider
...may be produced until the perpendicular is greater than any given straight line. PROP. XIII. THEOR. If a straight line meet two straight lines, so as...taken together, less than two right angles, these straight lines being continually produced, shall at- length meet upon that side on which are the angles,... | |
 | John Playfair - 1836 - 488 sider
...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... | |
 | Euclides - 1837 - 112 sider
...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... | |
 | Euclid, James Thomson - 1837 - 410 sider
...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...taken together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.* PROPOSITION I.... | |
 | John Playfair - 1837 - 332 sider
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a "straight line meet two straight lines, so as to make the interior angles on " the same side of it less than two right angles, these straight lines being " continually... | |
 | Euclides - 1838 - 264 sider
...proceed with his subject, and which he calls an Axiom, is as follows. AXIOM XII. If a straight line meets two straight lines so as to make the two interior...taken together, less than two right angles, these straight lines, being continually produced, shall at length meet upon that side on which are the angles... | |
 | Euclides - 1841 - 378 sider
...equal to one another. XII. " If a straight line meet two straight lines, which are " in the same plane, so as to make the two interior " angles on the same...taken together, less " than two right angles, these straight lines being " produced, shall at length meet upon that side on " which are the angles which... | |
 | Euclides - 1842 - 316 sider
...from any centre, at any distance from that centre. IV. [Ax. XI.] V. And that if a straight line meets two straight lines, so as to make the two interior...taken together, less than two right angles, these straight lines, being continually produced, shall at length meet upon that side on which are the angles... | |
 | John Playfair - 1842 - 332 sider
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a " straight line meet two straight lines, so as to make the interior angles on " the same side of it less than two right angles, these straight lines being " continually... | |
| |
If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
