| Euclid, Isaac Todhunter - 1867 - 424 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... | |
| Robert Potts - 1868 - 434 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... | |
| Woolwich roy. military acad - 1868 - 426 páginas
...rectilineal figure and equal to another given rectilineal figure. 12. Define parallel straight lines. Two **straight lines which are each of them parallel to the same straight line, and** uot in the same plane with it, are parallel to one another. PUEE MATHEMATICS. Section I. REV. WN GKIFFIN,... | |
| Euclides, James Hamblin Smith - 1872 - 372 páginas
...through DE,DB. XI.4. .'. CD is a. to the plane to which AB is x . Q. K D. PROPOSITION IX. THEOREM. Two **straight lines, which are each of them parallel to the same straight line, and not in the same plane** urith it, are parallel to one another. Let AB, CD be each of them II to EF, and not in the same plane... | |
| Euclides - 1874 - 342 páginas
...at right angles (XI. 4). Therefore, if two straight lines, &c. QED PROPOSITION 9. — 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. K Let AB and CD be each of them parallel... | |
| Francis Cuthbertson - 1874 - 396 páginas
...another; which is impossible. PARALLEL LINES (not all situated in the same plane). PROPOSITION XII. Two **straight lines which are each of them parallel to the same straight line,** which is not in the same plane with them, are parallel to one another. . C ft Let AB, CFbe each of... | |
| Euclides, James Hamblin Smith - 1876 - 376 páginas
...through DE, DB. XL 4 .'. CD is J. to the plane to which AB is j_ . QED PROPOSITION IX. THEOREM. Two **straight lines, which are each of them parallel to...plane with it, are parallel to one another. Let AB,** CD be each of them || to EF, and not in the same plane with it Then must AB be \\ to CD. In EF take... | |
| Euclides, James Hamblin Smith - 1876 - 378 páginas
...is -L to the plane to which AB is J. . QED PROPOSITION IX. THEOREM. Two straight lines, which cure **each of them parallel to the same straight line, and...plane with it, are parallel to one another. Let AB,** CD be each of them || to EF, and not in the same plane with it. Then must AB be \\ to CD. In EF take... | |
| Robert Potts - 1876 - 446 páginas
...lines, &c. QED PROPOSITION IX. THEOREM. Two stra.iy1d Una which are each of them parallel to the tame **straight line, and not in the same plane with it, are parallel to one another. Let** ATI, CD be each of them parallel to EF, and not in the same plane with it. Then AB shall be parallel... | |
| Euclides, James Hamblin Smith - 1878 - 394 páginas
...through DE,DB. XI. 4. .'. CD is x to the plane to which AB is J. . QED PROPOSITION IX. THEOREM. Two **straight lines, which are each of them parallel to...straight line, and not in the same plane with it, are** paralld to one another. Let AB, CD be each of them I( to EF, and not in the same pkne with it. Then... | |
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