 | Euclides - 1853 - 146 pages
...inclose a space. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
 | Euclides - Geometry - 1853 - 334 pages
...enclose a space. XI. All right angles are equal to one another. XII. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it, when taken together, less than two right angles, then those two straight lines, being continually produced,... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...twelfth axiom, and is thus expressed in Euclid : — AXIOM XII. — If a straight line meets two straight lines, so as to make the two interior angles, on the...taken together, less than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are... | |
 | Dugald Stewart - 1854 - 450 pages
...Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
 | Dugald Stewart - 1854 - 454 pages
...Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
 | Euclides - 1855 - 270 pages
...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 angles on...taken together, less than \ two right angles, these straight lines, being \ continually produced, shall at length meet ' V ' 'L upon that side on which... | |
 | John Playfair - Geometry - 1855 - 334 pages
...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
...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
...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
...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 angles on the...taken together less than two right angles ; these straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
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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... 
