| Robert Simson - Trigonometry - 1806 - 518 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...than two right angles, these straight lines being** con" tinually produced, shall at length meet upon that side on " which are the angles Which are less... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...Euclid is, that ' If a straight line ' meet two straight lines so as to make the two interior an' gles **on the same side of it taken together less than two...angles, these straight lines being continually produced** will, ' at length meet upon that side on which are the angles which ' are less than two right angles.'... | |
| Euclid - Geometry - 1810 - 518 pages
...cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet **two straight lines, so as to make the " two interior...continually " produced, shall at length meet upon that side** on which are " the angles which are less than two right Angles. See the " notes on prop. 29. of Book... | |
| John Mason Good - 1813 - 722 pages
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ¡t **taken together less than two right angles, these straight lines being continually** produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it... | |
| Euclides - 1814 - 558 pages
...two straight lines, so as to make " the two Lriterior angles on the same ade of it taken to" gether **less than two right angles, these straight lines "...continually produced, shall at length meet upon " that side** on which are the angles which are less than " two right angles. See the notes on Prop. 29. of Book... | |
| John Playfair - 1819 - 317 pages
...Axioms, und 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...continually produced, shall at length meet upon that " side** on which are the angles which are less than two right angles." Instead of this proposition, which though... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet **two straight lines, so as to make the two " interior...than two right angles, these straight lines being** continual" ly produced, shall at length meet upon that side on which " are the angles which are less... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...part. 10. Twfc«».^^^ lines cannot inclose a space. 11. AH right angles are equal to one another. **12." If a straight line meets two straight lines so...continually produced, shall at length meet upon that side** on which are the angles which are lest than two right angles." Proposition I. Problem. To describe... | |
| John Playfair - Circle-squaring - 1826 - 320 pages
...before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet **two "straight lines, so as to make the two interior...than two right angles, these straight " lines being** eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...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...continually produced shall at length meet upon that side** on which are the angles which are less than two right angles. Let the straight line AB meet the two... | |
| |