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... The Element of Geometry - Page 19by John Playfair - 1836 - 114 pagesFull view - About this book
 | Robert Simson - Trigonometry - 1806 - 548 pages
...cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to make the " two interior...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 - Mathematics - 1806 - 320 pages
...and opposite. In order to demonstrate this proposition Euclid assumes it as an axiom, Book I. that " if a straight line meet two straight lines, so as to make v^-v^/ " the interior angles on the same side of it less than two right " angles, these straight lines... | |
 | 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... | |
 | John Playfair - Circle-squaring - 1819 - 348 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a straight line meet two straight " lines, so as to make the interior angles on the same side of it less than " two right angles, these straight lines being continually... | |
 | William Nicholson - Natural history - 1821 - 400 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...X, Two straight lines cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet two straight lines, so as...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 - 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... | |
 | William Nicholson - Natural history - 1821 - 408 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually... | |
 | John Playfair - Circle-squaring - 1826 - 326 pages
...axioms, and that whieh was 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...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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