 | Euclides - 1855 - 230 páginas
...». . . XI. 10. . XI. 2. . . XI. 5.. . XI. 35. , XI. 35, cor. XI. 3. . XI . 19. If two straight lines are each of them parallel to the same straight line, and -not in the same plane with it. If two straight lines meeting one another be parallel to two others that meet one another, and are... | |
 | Euclides - 1855 - 270 páginas
...plane to which AB is at right angles. Therefore, if two straight lines, &c. QED PROP. IX. THEOREM. Two straight lines which are each of them parallel to the same straight line, but not in the same plane with it, are parallel to one another. Let AB and CD he each of them parallel... | |
 | John Playfair - 1855 - 334 páginas
...and are drawn through the same point D, which is impossible (11. Ax. 1.). V PROP. VIII. THEOR. Two straight lines which are each of them parallel to the same straight lint, though not both in the same plane with it, are parallel to one another. Let AB, CD be each of... | |
 | Eucleides - 1860 - 396 páginas
...t angles to the same plane. XI. 10. . XL 2.. . XL 5.. XL 35, cor. HYPOTHESES. If two straight lines are each of them parallel to the same straight line, and not in the same plane with it. If two straight lines meeting one another be parallel to two others that meet one another, and are... | |
 | War office - 1861 - 714 páginas
...similarly described figures on the sides containing the right angle. 2. Two straight lines which are each parallel to the same straight line, and not in the same plane with it, are parallel to one another. 3. A square is inscribed in another square so that its angular points divide the sides of the latter... | |
 | Euclides - 1864 - 448 páginas
...parallel to BE. Therefore AD and CF are each of them equal and parallel to BE. But straight lines that are parallel to the same straight line, and not in the same plane with it, are parallel to one another: (XI. 9.) therefore AD is parallel to CF; and it is equal to it; (I. ax. 1.) and AC, DF join them towards... | |
 | University of Calcutta - 1864 - 388 páginas
...the equal angles are homologous sides. Cut a given straight line in extreme and mean ratio. 4. Two straight lines which are each of them parallel to the same straight line, but not in the same plane with it, are parallel to one another. 5. If 48 men working eight hours a... | |
 | Euclides - 1865 - 402 páginas
...is at rig-ht angles, (xi. 4.) Therefore, if two straight lines, &c. QE D PROP. IX.— THEOREM. Two straight lines which are each of them parallel to...not in the same plane with it, are parallel to one anotfier. (References— Prop. i. 11 ; xi. 4, 6, 8.) Let AB, CD be each of them parallel to EF and... | |
 | Robert Potts - 1865 - 528 páginas
...parallel to BE. Therefore AD and CF are each of them equal and parallel to BE. But straight lines that are parallel to the same straight line, and not in the same plane with it, are parallel to one another : (xi. 9.) therefore AD is parallel to CF; and it is equal to it; (i. ax. 1.) and AC, DFjoin them towards... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...to which AB is at right angles. Wherefore, if two straight lines &c. QED PROPOSITION 9. THEOREM. Two straight lines which are each of them parallel to...plane with it, are parallel to one another. . Let AB and CD be each of them parallel to EF, and not in the same plane with it : AB shall be parallel to... | |
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Two straight lines which are each of them parallel to the same straight line, and not in the same plane with it, are parallel to one another. Let AB... 
