| William Nicholson - 1821
...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... | |
| Peter Nicholson - 1825 - 372 sider
...cannot inclose a space. 11. AH right angles are equal to one another. 12." If a straight line meets **two straight lines so as to make the two interior...lines being continually produced, shall at length meet** upon that side on which are the angles which are lest than two right angles." Proposition I. Problem.... | |
| Euclid, John Playfair - 1826 - 320 sider
...axioms, and that whieh was 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...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... | |
| Robert Simson - 1827 - 513 sider
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meet two straight lines, so as...being 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.... | |
| John Radford Young - 1827 - 208 sider
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, **so as to make the two interior angles on the same side** less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,... | |
| Timothy Walker - 1829 - 129 sider
...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...lines being 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... | |
| Timothy Walker - 1829 - 129 sider
...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... | |
| Euclid, Robert Simson - 1829 - 516 sider
...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... | |
| Dugald Stewart - 1829
...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... | |
| John Playfair - 1832 - 333 sider
...Axioms, and that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " **if a straight line meet two " straight lines, so as..."lines being 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,... | |
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