| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that **"if a " straight line meet two straight lines, so as to make the** interior angles on " the same side of it less than two right angles, these straight lines being " continually... | |
| Dugald Stewart - Psychology - 1847 - 666 pages
...Euclid's Elements. When it is assorted, for example, that " if one straight line falls on two other **straight lines, so as to make the two interior angles on the** san»« side together equal to two right angles, these two straight lines, though indefinitely produced,... | |
| John Playfair - Euclid's Elements - 1849 - 332 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...shall at length meet upon that side on which are the** angle* " which are less than two right angles." Instead of this proposition, which, though true, is... | |
| Henry Longueville Mansel - Logic - 1851 - 350 pages
...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 - 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 - 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... | |
| William Somerville Orr - Science - 1854 - 534 pages
...is the 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...than two right angles, these straight lines, being** prolonged, shall at length meet upon that side on which are the angles that are less than two right... | |
| 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... | |
| 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... | |
| 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... | |
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