 | 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...than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the angles Which are less... | |
 | John Playfair - Mathematics - 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...angles, these straight lines being continually produced will, ' at length meet upon that side on which are the angles which ' are less than two right angles.'... | |
 | Euclid - Geometry - 1810 - 554 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...upon that side on which are " the angles which are less than two right Angles. See the " notes on prop. 29. of Book I." a 3. I'Mtulate. b 9. Post. PROPOSITION... | |
 | John Mason Good - 1813 - 714 pages
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ¡t taken together less than two right angles, these straight lines being continually produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it... | |
 | Euclides - 1814 - 560 pages
...two straight lines, so as to make " the two Lriterior angles on the same ade of it taken to" gether less than two right angles, these straight lines "...upon " that side on which are the angles which are less than " two right angles. See the notes on Prop. 29. of Book I/' PROPOSITION I. PROBLEM. To describe... | |
 | 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... | |
 | 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...upon that " side on which are the angles which are less than two right angles." Instead of this proposition, which though true, is by no means selfevident... | |
 | 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... | |
 | Euclid - 1822 - 222 pages
...internal angles on the same side of it gee ff. taken together less than two right angles, these right lines being continually produced, shall at length...upon that side on which are the angles, which are less than two right angles. u angles • 12 V' Elements of Euclid. Fig. 12. PROPOSITION 1. PROBLEM.... | |
 | 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...meet upon that side on which are the angles which are lest than two right angles." Proposition I. Problem. To describe an equilateral triangle upon a given... | |
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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... 
