 | John Playfair - 1836 - Počet stránok 148
...perpendicular is greater than any given straight line. PROP. XIII. THEOR. If a straight line meet two straight lines, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines being continually produced,... | |
 | Robert Mudie - 1836 - Počet stránok 524
...alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude that the two straight lines, which answer any of these conditions with the third... | |
 | Robert Mudie - 1836 - Počet stránok 542
...alternate angles equal, the exterior angle equal to the interior and opposite on the same side, or the interior angles on the same side together equal to two right angles, we may always conclude that the two straight lines, which answer any of these conditions with the third... | |
 | Euclides - 1837 - Počet stránok 112
...by showing that the alternate Zs AGK, GKD are equal. PROPOSITION. " If a right line meet two right lines, so as to make the two interior angles on the same side of it taken together less than two right angles, these right lines being continually produced, shall... | |
 | Euclid, James Thomson - 1837 - Počet stránok 410
...this proposition has been demonstrated by some writers in the following manner •. the same plane, so as to make the two interior angles on the same side of it, taken together, less than two right angles, these straight lines shall at length meet upon that... | |
 | Euclides - 1838 - Počet stránok 264
...with his subject, and which he calls an Axiom, is as follows. AXIOM XII. 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, these straight lines, being continually produced,... | |
 | Euclides - 1841 - Počet stránok 378
...equal to one another. XII. " If a straight line meet two straight lines, which are " in the same plane, so as to make the two interior " angles on the same side of it, taken together, less " than two right angles, these straight lines being " produced, shall at... | |
 | Euclides - 1842 - Počet stránok 316
...any centre, at any distance from that centre. IV. [Ax. XI.] V. And that 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, these straight lines, being continually produced,... | |
 | John Playfair - 1842 - Počet stránok 332
...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 angles on the same side of it taken " together less than two right angles, these straight lines being continually " produced,... | |
 | Dugald Stewart - 1843 - Počet stránok 632
...space are more nearly allied to geometrical theorems than we might be disposed at first to apprehend ; being involved or implied in the most simple and fundamental...meet ;" — is not the boundless immensity of space lacitly assumed as a thing unquestionable ? And is not a universal affirmation made with respect to... | |
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If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
