| Euclides - 1855 - 270 páginas
...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 - 334 páginas
...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 - 344 páginas
...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 - 178 páginas
...equal to one another. rx. The whole is greater than its part. X. Two straight lines cannot inclose **a space. XI. All right angles are equal to one another....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 - 248 páginas
...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,... | |
| Eucleides - 1860 - 396 páginas
...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 - 464 páginas
...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... | |
| Euclides - 1862 - 172 páginas
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. ' **If a straight line meets two straight lines, so as...the angles which are less than two right angles.'** PROP. I. — PROBLEM. To describe an equilateral triangle upon a given finite straight line. •(References... | |
| Euclides - 1862 - 140 páginas
...cannot inclose 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. EXPLANATION OF TERMS. A... | |
| Euclides - 1863 - 74 páginas
...angles measured by those equals must themselves be equal. 12. If a straight line meets two skaight **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** two straight lines, being continually produced, shall at length meet upon that side on which the angles... | |
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