 | 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
...at X. Two straight Unes cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, \ so...these straight lines, being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right... | |
 | John Playfair - Geometry - 1855 - 334 pages
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as...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
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as...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... | |
 | Art - 1856 - 602 pages
...straight line meet two other " 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 " produced, will at length meet on the side on which the angles are, " that are less than two right angles." As this so-called Axiom is... | |
 | Euclides - 1858 - 248 pages
...must be equal ; and consequently the angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as...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
...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, so as...; these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION... | |
 | Euclides - 1862 - 172 pages
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. ' If a straight line meets two straight lines, so as...angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles.'... | |
 | Euclides - 1862 - 140 pages
...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...angles, these straight lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. EXPLANATION... | |
 | 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... | |
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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... 
