| John Playfair - 1832 - 333 Seiten
...Axioms, and that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " **if a straight line meet two " straight lines, so as..."lines being continually produced, shall at length meet** upon that " side on which are the angles which are less than two right angles." Instead of this proposition,... | |
| John Radford Young - 1833 - 216 Seiten
...proportional. From this general proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. ; **If a straight line meet two straight lines so as to make the two interior angles on the same side** \T> HAUM T> of it, taken together, less than two right angles, these straight lines being continually... | |
| Euclid - 1833 - 183 Seiten
...equal to one another. 12. If a right line meet two right lines, so as to make See N. .the two internal **angles on the same side of it taken together less than two right angles ; these** right lines, being continually produced, shall at length meet upon that side on which are the angles,... | |
| Robert Simson - 1835 - 513 Seiten
...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** upon that " side on which are the angles which are less than two right " angles. See the notes on Prop.... | |
| Euclid - 1835 - 513 Seiten
...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** upon that " side on which are the angles which are less than two right " angles. See the notes on Prop.... | |
| John Playfair - 1835 - 316 Seiten
...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... | |
| John Playfair - 1836 - 114 Seiten
...may be produced until the perpendicular is greater than any given straight line. PROP. XIII. THEOR. **If a straight line meet two straight lines, so as...being continually produced, shall at- length meet** upon that side on which are the angles, which are less than two right angles. Let the straight line... | |
| John Playfair - 1836 - 471 Seiten
...of Euclid is, that " if a straight line " meets two straight lines, so as to make the two inte" rior **angles on the same side of it taken together less " than two right angles, these straight lines** oeing con" tinually produced, shall at length meet upon that side " on which are the angles which are... | |
| Euclid, James Thomson - 1837 - 390 Seiten
...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...together, less than two right angles, these straight lines** shall at length meet upon that side, if they be continually produced.* PROPOSITION I. PROBLEM.f To... | |
| Euclides - 1837 - 88 Seiten
...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...it taken together less than two right angles, these** right lines being continually produced, shall at length meet on that side on which are the angles which... | |
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