 | Henry Longueville Mansel - Logic - 1851 - 350 pages
...character, analogous to the geometrical principles, " two straight lines cannot enclose a space," or, " if a straight line meets two straight lines, so as to make the two interior angles on the same side together less than two right angles, the two straight lines will meet if produced." As a matter of... | |
 | Euclides - 1852 - 152 pages
...drawn across the other two so as to inclose a space.] XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines,...than 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... | |
 | Euclides - 1852 - 48 pages
...inclose a space. 11. All right angles are equal to one another. 12. If a right line meet two other right lines, so as to make the two interior angles on the...it taken together less than two right angles, these two right lines being continually induced, shall at length meet on that side on which are the angles,... | |
 | Euclides - Geometry - 1853 - 176 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines,...than 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another, 12. If a straight line meets two straight lines, so as...than 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... | |
 | Euclides - 1853 - 146 pages
...lines cannot 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...than 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... | |
 | Euclides - Geometry - 1853 - 334 pages
...parallel to FG; but both cannot. »^^F/ — 1 5- jf" * 3. — To BK. I. PEOP. A. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it together less than two right angles : then these two straight lines, being continually produced, shall... | |
 | Euclid - Geometry - 1853 - 176 pages
...internal an£;^' '\ the same side, fS6g..£ ''• ' ^uol to two right I. 29, theor. . . I. 29, cor. . . If a straight line meets two straight lines so as to make the two internal angles on the same side together less than two right angles. {These '' stralgnt lines being... | |
 | Dugald Stewart - 1854 - 452 pages
...Euclid's 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
...Euclid's 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... | |
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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... 
