| Francis Cuthbertson - 1874 - 396 Seiten
...&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 Seiten
...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 Seiten
...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 Seiten
...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 - 68 Seiten
...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 - 54 Seiten
...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, James Hamblin Smith - 1878 - 394 Seiten
...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 - 382 Seiten
...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 Seiten
...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 Seiten
...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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