 | Joseph John Findlay - Elementary school teaching - 1902 - 496 pages
...(it is numbered as the first part of Proposition 28) : — If a straight line meet two other straight lines, so as to make the two interior angles on the same side supplementary, the lines will never meet, although produced ever so far. You can prove it by assuming... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...is based upon his twelfth Axiom, which we here repeat. AXIOM 12. If a straight line cut two straight lines so as to make the two interior angles on the same side of it together less than two right angles, these straight lines, being continually produced, will at length... | |
 | John William Withers - Geometry - 1905 - 216 pages
...lines cannot inclose a space; n, All right angles are equal; 12, If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles... | |
 | Education - 1918 - 984 pages
...straight line." Either form is much simpler than Euclid's statement: "If a straight line meet two straight lines so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
 | Education - 1918 - 922 pages
...straight line." Either form is much simpler than Euclid's statement: "If a straight line meet two straight lines so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
 | Ernst Mach - History - 1906 - 174 pages
...Postulate (also called the Eleventh Axiom and by some the Twelfth) : "If a straight line meet two straight lines, so as to make the two interior angles on the...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... | |
 | 1906 - 582 pages
...enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
 | Ernst Mach - History - 1906 - 176 pages
...Postulate (also called the Eleventh Axiom and by some the Twelfth) : "If a straight line meet two straight lines, so as to make the two interior angles on the...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... | |
 | Joseph Gregory Horner - Engineering - 1906 - 572 pages
...enclose a space. 11. All right angles are equal to o,ne another. 12. If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles, these straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
 | Walter William Rouse Ball - Mathematicians - 1908 - 576 pages
...usually stated iu the form that if a straight line meets two straight lines, so as to make the sum of the two interior angles on the same side of it taken together less than two right angles, then these straight lines being continually7 produced will at length meet upon that side on which are... | |
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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... 
