| 1798 - 618 pages
...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 - 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...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 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... | |
| Dugald Stewart - Psychology - 1814 - 560 pages
...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 - Psychology - 1821 - 348 pages
...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 - Mathematics - 1825 - 1046 pages
...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... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...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 - 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,... | |
| Timothy Walker - Geometry - 1829 - 156 pages
...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 - Geometry - 1829 - 138 pages
...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... | |
| |