 | 1798 - 618 σελίδες
...they meet a third line, make the alternate angles with it equal, Eu~; cljj assumée this axiom : " If a straight line meets two straight ' lines, so as to make the two interior angle's on the same side ' of it .less than two right angles, these straight lines, being CQniinfwtly... | |
 | John Playfair - 1806 - 320 σελίδες
...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.'... | |
 | John Mason Good - 1813 - 714 σελίδες
...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... | |
 | Dugald Stewart - 1814 - 560 σελίδες
...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 two interior angles on the same side together equal to two righl angles, these two straight lines, though indefinitely produced, will never... | |
 | Dugald Stewart - 1821 - 348 σελίδες
...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 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 - 1825 - 1046 σελίδες
...part. 10. Twfc«».^^^ lines cannot inclose a space. 11. AH right angles are equal to one another. 12." If a straight line meets two straight lines so as...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... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet two "straight lines, so as to make the two interior...than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less... | |
 | John Radford Young - 1827 - 228 σελίδες
...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,... | |
 | Timothy Walker - 1829 - 156 σελίδες
...greater than its part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal. 12. If a straight line meets two straight lines so as...continually produced, shall at length meet upon that side upon which are the angles which are less than two right angles. The last of these has been added by... | |
 | Timothy Walker - 1829 - 138 σελίδες
...greater than its part. 10. Two straight lines cannot inclose a space. II. All right angles are equal. 12. .If a straight line meets two straight lines so as...angles on the same side of it taken together, less tkau two right angles, these straight lines being continually produced, shall at length meet upon that... | |
| |
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... 
