 | Euclid, Dionysius Lardner - 1828 - 542 sider
...on the same side less than two right angles, these two — right lines will meet if they be produced on that side on which the angles are less than two right angles. (5t>) The geometrical axioms are certain general propositions, the truth of which is taken to be self-evident,... | |
 | 1835 - 566 sider
...two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than two right angles.] 12. Also, two straight lines cannot inclose a space. The two axioms, 10 and 11, inclosed in brackets,... | |
 | Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 sider
...two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than two right angles.] 12. Also, two straight lines cannot inclose a space. The two axioms, 10 and 11, inclosed in brackets,... | |
 | 1835 - 1102 sider
...two right •ogles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than two right angles.] 12. Also, two itruiirht lines cannot inclose a space. The two axioms, 10 and II, inclosed in brackets,... | |
 | Euclides - 1858 - 248 sider
...together less than two rt. angles, these two st. lines, being continually produced, shall at length meet on that side on which the angles are less than two rt. angles. 5. L, 32. I. 15. L If two st. lines cut one another, the opp. or vertical angles shall... | |
 | Euclides - 1863 - 74 sider
...than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles are less than two right angles. " Two st. lines which intersect one another, cannot be both parallel to the game st line."— PLAYFAIR.... | |
 | Euclides - 1870 - 270 sider
...two right angles, these two straight lines, being continually pro- E duced, shall at length meet upon that side on which the angles are less than two right angles. This is almost equivalent to saying, that if two straight lines are parallel, all the perpendiculars... | |
 | T S. Taylor - 1880 - 152 sider
...that if either pair of angles be less than two right angles, then the lines must meet if produced, and meet on that side on which the angles are less than two right angles. That is to say, if the angles B FG, FGD are together less than two right angles, then AB and CD being... | |
 | Euclid - 1908 - 550 sider
...right angles are equal to one another. \ 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two...produced indefinitely, meet on that side on which are the angles less than the two right angles. COMMON NOTIONS. 1. Things which are equal to the same... | |
 | Francis Rolt-Wheeler - 1909 - 356 sider
...right angles are equal to one another. 5. That if a straight line falling on two straight lines make the interior angles on the same side less than two...produced indefinitely, meet on that side on which are the angles less than the two right angles. It will be noticed that the plane geometry is built... | |
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That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. 
