 | 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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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... 
