 | 1798 - 618 Seiten
...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 Seiten
...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, so as...taken together " less than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the... | |
 | John Playfair - 1806 - 320 Seiten
...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... | |
 | Euclid - 1810 - 554 Seiten
...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...taken together less " than two right angles, these straight lines being continually " produced, shall at length meet upon that side on which are " the... | |
 | Dugald Stewart - 1814 - 560 Seiten
...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... | |
 | Euclides - 1814 - 560 Seiten
...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... | |
 | John Playfair - 1819 - 354 Seiten
...the 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,...it taken together less than two right angles, these straight " lines being continually produced, shall at length meet upon that " side on which are the... | |
 | Dugald Stewart - 1821 - 348 Seiten
...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 Seiten
...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...it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
 | Euclid, John Playfair - 1826 - 326 Seiten
...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...it taken together less than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the... | |
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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... 
