 | Robert Simson - 1806 - 546 σελίδες
...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 σελίδες
...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,... | |
 | Dugald Stewart - 1814 - 582 σελίδες
...purpose ; for if the theory of Beddoes had any foundation, it would lead us to identify with physics the former of these sciences as well as the latter...angles, these two straight lines, though indefinitely pro" duced, will never meet ;"— is not the boundless immensity of space tacitly assumed as a thing... | |
 | Dugald Stewart - 1814 - 560 σελίδες
...purpose ; for if the theory of Beddoes had any foundation, it would lead us to identify with physics the former of these sciences as well as the latter;...interior angles on the same side together equal to two righl angles, these two straight lines, though indefinitely produced, will never meet ;" — is not... | |
 | John Playfair - 1819 - 350 σελίδες
...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 σελίδες
...at least, all that part of the former which is employed about space, or extension, — a faTourite object of metaphysical as well as of mathematical...interior angles on the same side together equal to tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight lines, though... | |
 | Dugald Stewart - 1821 - 706 σελίδες
...fundamental propositions which occur in Euclid's Elements. When it is asserted, for example, that u if one straight line falls on two other straight lines,...interior angles on the same side together equal to two ' Philoiophical Emyi, pp. 94, 95, 4to edit. " right angles, these two straight lines, though indefinitely... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
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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... 
