 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...  Educational Review - Page 38edited by - 1892Full view - About this book
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...— Prove this proposition independently of Prop. 27. Ax. 12. — 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 right angles, these two straight lines being continually produced shall at length... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...straight line cut two other straight lines, (1) so as to make the exterior-interior angles equal, or (2) so as to make the two interior angles on the same side together equal to two right angles, then the two straight lines are parallel. xE (1) Hyp. Let the st.... | |
 | John Michels (Journalist) - Science - 1892 - 448 pages
...at least one which is not axiomatic.1 This is the axiom of parallel?, which reads as follows : — " If a straight line meet two straight lines so as to...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... | |
 | Science - 1892 - 444 pages
...at least one which is not axiomatic.1 This id the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to...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
...all right angles are equal, admits of proof, and is therefore perhaps out of place as an Axiom.] 12. If a straight line meet two straight lines so as to make the interior angles on one side of it together less than two right angles, these straight lines will meet... | |
 | Michigan Schoolmasters' Club - Education - 1894 - 554 pages
...any center 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... | |
 | William Stanley Jevons - Logic - 1896 - 344 pages
...anything. [M.] 28. Give the logical opposites, converse and contrapositive, of 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... | |
 | 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
...another, are equal. 10. Two straight lines cannot enclose a space. 11. All right angles are equal. 12. If a straight line meet two straight lines so as to make the interior angles on one side of it together less than two right angles, these straight lines will meet... | |
 | Joseph John Findlay - Elementary school teaching - 1902 - 494 pages
...proposition (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... | |
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