 | 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...taken together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.* PROPOSITION I.... | |
 | Euclides - 1838 - 264 pages
...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 angles, on the...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 - Geometry - 1841 - 378 pages
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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...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 - 1842 - 320 pages
...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 angles on the...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... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...necessity of a new axiom. Euclid's axiom alluded to is this : " If a straight line meet two other 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 produced, will at length meet on the side on which... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...Euclid is, that " if a straight line meets two straight " lines, so as to make the two interior anples on the same side of it 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 - 1845 - 544 pages
...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 angles on the...it 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...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 angles on the...taken " together less than two right angles, these straight " lines being continually produced, shall at length meet " upon that side on which are the... | |
 | Euclid, James Thomson - Geometry - 1845 - 380 pages
...to one another. |j 12. If a straight line meet two other 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 shall at length meet upon that side, if they be continually produced.^ * ln this axiom... | |
| |
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... 
