| 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 - 532 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 - 262 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 - 200 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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