 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...  Pure mathematics - Page 91by Edward Atkins - 1874Full view - About this book
 | Euclides - 1874 - 342 pages
...cannot inclose a space. 11. All right angles are equal to one another. • 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 less than two right angles. EXPLANATION OF TERMS.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...Wherefore upon the same base, &c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as...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 - Geometry - 1876 - 446 pages
...cannot enclose a space. XL All right angles are equal to one another. xn. 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 less than two right angles. PROPOSITION I. PROBLEM.... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered... | |
 | Edward Atkins - 1876 - 130 pages
...Therefore the angles BGH, GHD are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But if a straight line meet two straight lines, so as...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 =... | |
 | Euclides - 1877 - 58 pages
...10. Two straight lines 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...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 pages
...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...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pages
...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...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered... | |
 | Rolla Rouse - 1879 - 400 pages
...would be understood without making it an axiom.) Axiom 12. (See remark above.) If a straight line meets two straight lines, so as to make the two interior...side of it taken together less than two right angles, those straight lines being continually produced shall at length meet upon that side in which are the... | |
 | Euclides - 1879 - 146 pages
...another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 1t. All right angles are equal to one another. 12. If...straight line meet two straight lines, so as to make the interior angles on the same side of it taken together less than two right angles, these straight lines,... | |
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