 | Paul Carus - 1893 - 720 pagina’s
...with one another are equal to one another. Eleventh axiom : If a straight line meet two straight lines so as to make the two interior angles on the same...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Twelfth axiom : Two straight... | |
 | Michigan Schoolmasters' Club - 1894 - 554 pagina’s
...any radius. 4. That all right angles are equal. 6. If a straight line meet two other straight lines so as to make the two interior angles on the same side of it together less than two rig~ht angles, these two straight lines being continually produced shall at... | |
 | Florian Cajori - 1896 - 336 pagina’s
...namely, in proving proposi1 The parallel-postulate is : " If a straight line meet two straight lines, so as to make the two interior angles on the same...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles." In the various editions... | |
 | William Stanley Jevons - 1896 - 344 pagina’s
...Euclid's (so-called) twelfth axiom — If a straight line meet two straight lines, so as to make the interior angles on the same side of it taken together less than two right angles, those straight lines being continually produced shall at length meet upon that side on which are the... | |
 | Hermann Schubert - 1899 - 163 pagina’s
...with one another are equal to one another. Eleventh axiom: If a straight line meet two straight lines so as to make the two interior angles on the same...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Twelfth axiom: Two straight... | |
 | Charles Austin Hobbs - 1899 - 266 pagina’s
...exterior angles are parallel. Proposition 32. Theorem. 43. If two straight lines are cut by a transversal so as to make the two interior angles on the same side of the transversal supplementary, the two straight lines are parallel. Consult Prop. 4 and Prop. 30. COB.... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 pagina’s
...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... | |
 | Euclid - 1901 - 672 pagina’s
...together less than two right angles, then the two straight lines shall meet in that direction only ( in which are the angles which are together less than two right angles ). Let 3 ^ fall upon the two straight lines yг ц and зг ^ so that the two ( interior ) angles yf.... | |
 | Joseph John Findlay - 1902 - 496 pagina’s
...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... | |
 | 1903 - 750 pagina’s
...parallelism. So it was formulated axiomatically as follows : " If a straight line meet two straight lines, so as to make the two interior angles on the same...meet upon that side on which are the angles which are less than two right angles." This dogmatic statement (now commonly called "the axiom of parallels")... | |
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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... 
