| Dugald Stewart - 1854
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other **straight lines, so as to make the two interior angles on the same side** together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
| Dugald Stewart - 1854
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other **straight lines, so as to make the two interior angles on the same side** together equal to two right angles, these two straight lines, though indefinitely produced, will never... | |
| Euclides - 1855
...at X. Two straight Unes cannot enclose a space. XI. All right angles are equal to one another. XII. **If a straight line meets two straight lines, \ so...being \ continually produced, shall at length meet** ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted... | |
| John Playfair - 1855 - 318 sider
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " **if a straight line meets two straight lines, so as...the two interior angles on the same side of it taken** " which are less than two right angles." Instead of this proposition, which, though true, is by no... | |
| John Playfair - 1856 - 318 sider
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " **if a straight line meets two straight lines, so as...' produced, shall at length meet upon that side on** w^^^ <»•« the angle* " which are less than two right angles." Instead of this proposition, which,... | |
| Robert Rawson - 1856
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. xn. " **If a straight line meets two straight lines, so as...interior angles on the same side of it taken together** lesi than two right angles, these straight lines being continually produced, shall at length meet upon... | |
| Euclides - 1858
...must be equal ; and consequently the angles measured by those equals must themselves be equal. 12. **If a straight line meets two straight lines, so as...the two interior angles on the same side of it taken** C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,... | |
| Robert Potts - 1860 - 361 sider
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. **If a straight line meets two straight lines, so as...are the angles which are less than two right angles.** PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let... | |
| Eucleides - 1860
...opposite angle upon the same side, And also the two internal angles on the . same side, together equal to **two right ^ angles. These straight lines being continually...that side on which are the angles which are less than** tiro right angles. f They are equidistant. They are parallel to each other. They are themselves equal... | |
| Euclides - 1861
...to make the two int. ¿_a on the same side of it taken together less than two rt. ¿s, these two st. **lines, being continually produced, shall at length meet upon that side on which** the ¿s are less than two rt. ¿_a. Dof. 10, I. When a st. line standing on another st. line makes... | |
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