 | John Michels (Journalist) - Science - 1892 - 448 pages
...This is the axiom of parallel?, which reads as follows : — " 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, these straight lines, being continually produced, shall at length meet oh that side on... | |
 | John Michels (Journalist) - Science - 1892 - 444 pages
...This id the axiom of parallels, which reads as follows : — " 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, these straight lines, being continually produced, shall at length meet on that side on... | |
 | Euclid - Geometry - 1892 - 460 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... | |
 | Paul Carus - Electronic journals - 1893 - 722 pages
...coincide 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...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... | |
 | Michigan Schoolmasters' Club - Education - 1894 - 556 pages
...with 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 - Mathematics - 1896 - 338 pages
...other, 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...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... | |
 | William Stanley Jevons - Logic - 1896 - 344 pages
...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 - Circle-squaring - 1899 - 163 pages
...coincide 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...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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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 - Euclid's Elements - 1900 - 330 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... | |
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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... 
