 | 1798 - 618 sider
...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 - 1806 - 546 sider
...coincide with one another, that is, which exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part....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 - 1806 - 320 sider
...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 sider
...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 sider
...The wbok is greater dan its part. X. Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. XII. " If a straight...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 - 1814 - 560 sider
...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... | |
 | Euclid, Robert Simson - 1821 - 514 sider
...cannot enclose a space. XI. All right angles afe 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 continual" ly produced, shall at length meet upon that side on which " are the angles which are less... | |
 | Dugald Stewart - 1821 - 348 sider
...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... | |
 | Euclid, John Playfair - 1826 - 326 sider
...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 sider
...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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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... 
