 | Robert Simson - Trigonometry - 1806 - 546 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 - Mathematics - 1806 - 320 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 - 554 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 - 714 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 - 560 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 - 354 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 - 1046 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 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 - 228 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... | |
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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... 
