 | Robert Simson - 1806 - 546 pàgines
...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 angles on the same side of it taken together " less than two right angles, these straight lines being con" tinually produced,... | |
 | Sir John Leslie - 1809 - 522 pàgines
...it will make the alternate angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal,... | |
 | John Playfair - 1819 - 350 pàgines
...the llth is accounted the 10th. rfhe 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 - 1821 - 348 pàgines
...propositions which occur in Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make :'...interior angles on the same side together equal to tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight lines, though... | |
 | Peter Nicholson - 1825 - 1046 pàgines
...cannot inclose a space. 11. AH right angles are equal to one another. 12." 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, shall... | |
 | 1826 - 628 pàgines
...Consequently, all elementary treatises are defective in this point. Proposition. If a straight line meets two straight lines so as to make the two interior angles on the same side less than two right angles, these straight lines being continually produced, will at length meet upon... | |
 | John Radford Young - 1827 - 246 pàgines
...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 of it, taken together, less than two right angles, these straight lines being continually produced... | |
 | Robert Simson - 1827 - 546 pàgines
...inclose a space. XI. All right angles are equal to one another. XII. " 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,... | |
 | John Radford Young - 1827 - 228 pàgines
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, so as to make the two interior angles on the same side less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,... | |
 | Dugald Stewart - 1829 - 418 pàgines
...propositions which occur in 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...of space tacitly assumed as a thing unquestionable 1 And is not a universal affirmation made with respect to a fact which experience is equally incompetent... | |
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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... 
