 If a straight line meet two straight lines so as to make the two interior angles on the same side of it, taken together, less than two right angles...  Educational Review - Page 38edited by - 1892Full view - About this book
 | Euclides - 1863 - 74 pages
...angles measured by those equals must themselves be equal. 12. If a straight line meets two skaight lines, so as to make the two interior angles on the...it taken together less than two right angles, these two straight lines, being continually produced, shall at length meet upon that side on which the angles... | |
 | Euclides - 1863 - 122 pages
...part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to make the two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced,... | |
 | Euclides - 1865 - 402 pages
...Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as to make the two interior...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right... | |
 | Matthew Ryan - 1866 - 50 pages
...lines (AB, С D) which are in the same plane, so as to make the two interior angles (BA С, A С D) ore the same side of it, taken together, less than two right angles, these two straight lines (А В, С D) shall at length meet upon that side, if sufficiently produced. Draw... | |
 | Euclides - 1870 - 270 pages
...all right angles are equal ; and 6. That when two lines are met or crossed by a third line, so that the two interior angles on the same side of it taken together are less than two right angles, the two lines so crossed shall meet, if continually produced. — Smith's... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...another. V. That two straight lines cannot inclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...angles, these straight lines being continually produced shalj. at length meet upon that side, on which are the angles, which are together less than two right... | |
 | 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... | |
 | 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... | |
 | 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... | |
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