 | Hermann Schubert - 1899 - 163 σελίδες
...Magnitudes which 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...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 σελίδες
...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 σελίδες
...straight lines 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... | |
 | Joseph John Findlay - 1902 - 494 σελίδες
...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... | |
 | Euclid - 1904 - 488 σελίδες
...straight lines 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... | |
 | 1918 - 924 σελίδες
...given 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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles." Playfair himself laid no... | |
 | John William Withers - 1905 - 216 σελίδες
...Two straight 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...lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles.8 In nearly all modern editions,... | |
 | 1918 - 984 σελίδες
...given 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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles." Playf air himself laid... | |
 | 1906 - 576 σελίδες
...cannot 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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Axis. — This term has... | |
 | Joseph Gregory Horner - 1906 - 572 σελίδες
...cannot 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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. Axis. — This term has... | |
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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... 
