| 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... | |
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