 | Euclides - 1855 - 270 pages
...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, \ so as to make the two interior...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted... | |
 | John Playfair - Geometry - 1855 - 334 pages
...therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken " which are less than two right angles." Instead of this proposition, which, though true, is by no... | |
 | Robert Rawson - 1856 - 178 pages
...cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles, these straight lines being continually produced, shall at length meet upon... | |
 | Euclides - 1858 - 248 pages
...consequently the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...cannot enclose a space. XI. All right angles are equal to one another. XII. 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.... | |
 | Eucleides - 1860 - 396 pages
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to two right ^ angles. These straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than tiro right angles. f They are equidistant.... | |
 | Euclides - 1862 - 140 pages
...two right angles. (I. 13.) 4. Therefore the angles BGH, GHD, are less than two right angles. 6. But if a straight line meet two straight lines, so as...continually produced, shall at length meet on that aide on which are the angles which are less than two right angles, (ax. 12.) 6. Therefore the straight... | |
 | Euclides - 1862 - 172 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. ' 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.' PROP. I. — PROBLEM.... | |
 | 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,... | |
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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... 
