| 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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