 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 - Geometry, Plane - 1809 - 522 pages
...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 - Logic - 1814 - 582 pages
...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 pro" duced, will never meet ;"— is not the boundless... | |
 | Dugald Stewart - Psychology - 1814 - 560 pages
...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 righl angles, these two straight lines, though indefinitely produced, will never meet ;" — is not... | |
 | John Playfair - 1819 - 354 pages
...accounted the 10th. 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 - Psychology - 1821 - 348 pages
...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 tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight lines, though... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 - Euclid's Elements - 1827 - 246 pages
...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... 
