 | Stewart W. and co - 1884 - 272 Seiten
...All right angles are equal to one another. XII. " If a straight line meets two straight lines, •o as to make the two interior angles on the same side...the angles which are less than two right angles." PROPOSITION I. To describe an equilateral triangle on a given finite straight line. Let AB be the given... | |
 | Euclides - 1884 - 182 Seiten
...to discuss it until we have made some further progress in the subject. 12. If a straight line meet two straight lines so as to make the two interior...together less than two right angles, these straight lines,being continually produced, shall at length meet on that side on which are the angles which are... | |
 | James Gow - 1884 - 350 Seiten
...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 two interior angles on the same side of it together less than two right angles, these straight lines will meet if produced on that side. Of these... | |
 | National cyclopaedia - 1884 - 642 Seiten
...as stated by Euclid it is not a true axiom. It runs thus — 44 If a straight line meets two other straight lines, so as to make the two interior angles on the same side of it, taken j together, less than two right angles ; these straight lines, being continually produced, shall at... | |
 | Mathematical association - 1884 - 146 Seiten
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made... | |
 | W. J. C. Miller - 1885 - 154 Seiten
...with EF ; and thus is it proved that all right angles are equal.* Axiom XII. : - " If a straight lino meets two straight lines, so as to make the two interior...the angles which are less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates the truth of it by the aid of five... | |
 | 1885 - 150 Seiten
...would coincide with EF ; and thus is it proved that all right angles are equal.* Axiom XII.: — " If a straight line meets two straight lines, so as...together, less than two right angles, these straight linos being continually produced, shall at length meet upon that side on which are the angles which... | |
 | New Zealand Institute - 1886 - 530 Seiten
...equivalence of the three forms of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is : — " If a straight line meets two straight lines, so as to make the two interior angles on the same I side of it taken together less than two right angles, these straight lines being continually produced... | |
 | Benjamin Franklin Finkel - 1888 - 518 Seiten
...so as to make the two interior angles *For definitions of geometrical magnitudes, see Mensuration. on the same side of it taken together less than two...lines being continually produced shall at length meet on that side< on which are the angles which are less than, two right angles. An axiom must possess... | |
| |
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... 
