 | Dugald Stewart - 1854 - 452 σελίδες
...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 - 454 σελίδες
...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 - 270 σελίδες
...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... | |
 | Robert Rawson - 1856 - 178 σελίδες
...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 - 248 σελίδες
...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,... | |
 | Euclides - 1861 - 464 σελίδες
...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 - 140 σελίδες
...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 σελίδες
...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... | |
 | Euclides - 1863 - 122 σελίδες
...part. j 11. All right angles are equal to one another. | 10. Two straight lines cannot enclose a space to make the two interior angles on the same side of it, \ 12. If a straight line meets two straight lines, so as straight lines, being continually produced,... | |
 | Euclides - 1865 - 402 σελίδες
...properties of parallel lines. Enclid gets over the difficulty by assuming the following as an axiom : — ' If a straight line meets two straight lines, so as...right angles ; these straight lines being continually prodnced, shall at length meet upon that side on which are the angles which are less than two right... | |
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If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
