| 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... | |
| |