| Robert Simson - Trigonometry - 1806 - 546 pages
...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...taken together " less than two right angles, these** straight lines being con" tinually produced, shall at length meet upon that side on " which are the... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...Euclid is, that ' If a straight line ' meet two straight lines so as to make the two interior an' gles **on the same side of it taken together less than two right ' angles, these** straight lines being continually produced will, ' at length meet upon that side on which are the angles... | |
| 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... | |
| Sir John Leslie - Geometry - 1817 - 456 pages
...equation,) a principle which is equivalent to Euclid's 12th axiom, (If a straight line meets two straight **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** straight lines, being continually produced, will at length meet on that side on which are the angles... | |
| John Playfair - 1819 - 354 pages
...is 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...it taken together less than two right angles, these** straight " lines being continually produced, shall at length meet upon that " side on which are the... | |
| 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...it taken together less than two right angles, these** straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
| John Radford Young - Euclid's Elements - 1827 - 246 pages
...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...taken together, less than two right angles, these** straight lines being continually produced shall at length meet upon that side on which are the angles... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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...it taken together less than two right angles, these** " straight lines being continually produced, shall at " length meet upon that side on which are the... | |
| John Radford Young - Euclid's Elements - 1827 - 228 pages
...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,... | |
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