 | Francis Cuthbertson - 1874 - 400 sider
...&c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as to make the two interior...it taken together less than two right angles, these two straight lines being continually produced, shall at length meet on that side on which are the angles... | |
 | Robert Potts - 1876 - 446 sider
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To dlteribt an equilateral triangle upon a given finite straight lint, Let... | |
 | Euclides, James Hamblin Smith - 1876 - 376 sider
...another. V. That two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original alrriiMTa, "requests."... | |
 | Edward Atkins - 1876 - 130 sider
...are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But if a straight line meet two straight lines, so as to make the two interior...than two right angles, these straight lines being Hence AB and CD meet, and are parallel. not unequal to z GHD. and ^EOB = iGHD, >lso ZBGH + i GHD =... | |
 | Edward Atkins - 1877 - 72 sider
...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines being continually produced shall at length meet on that side on which are the angles which are less than two right angles. Explanation of Terms and... | |
 | Euclides - 1877 - 58 sider
...cannot inclose a space. 11. All right angles are equal to one another. 1 2. If a straight line meet two straight lines so as to make the two interior...taken together, less than two right angles, these two straight lines being continually produced shall at length meet on that side on which are the angles... | |
 | Euclides - 1878 - 398 sider
...straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, BO as to make the two interior angles on the same side...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original curfiluiTa,... | |
 | Euclides, James Hamblin Smith - 1879 - 376 sider
...two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lmos, so as to make the two interior angles on the same...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original alrl1fiaTa,... | |
 | Moffatt and Paige - 1879 - 378 sider
...sides. 4. Three angles. Of these, Case 4 is the only one where the rule is not necessarily true. (d) If a straight line meets two straight lines, so as...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. SECTION II. (Three Questions.)... | |
 | Euclides - 1881 - 236 sider
...another. xn If a straight line meets two straight lines, no as to make the two interior angles on thr same side of it, taken together, less than two right angles, these straight lines, oeing continually produced, shall at length meet T upon that side on which are the angles which \ are... | |
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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... 
