| 1798
...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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. **XII. " If a straight line meets two straight lines,...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 - Euclid's Elements - 1806 - 311 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 which ' are less... | |
| Euclid - Geometry - 1810 - 518 pages
...cannot enclose 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...than two right angles, these straight lines being** continually " produced, shall at length meet upon that side on which are " the angles which are less... | |
| Euclides - 1814 - 558 pages
...X. Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. **XII. " If a straight line meets 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... | |
| Dugald Stewart - Psychology - 1814
...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... | |
| John Playfair - 1819 - 317 pages
...Axioms, und that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " **if a straight line meets two " straight lines, so...than two right angles, these straight " lines being** continually produced, shall at length meet upon that " side on which are the angles which are less... | |
| Dugald Stewart - Psychology - 1821 - 350 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 - 372 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...than two right angles, these straight lines being** continually produced, shall at length meet upon that side on which are the angles which are lest than... | |
| John Playfair - Circle-squaring - 1826 - 320 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... | |
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