| Robert Simson - 1835 - 513 páginas
...plane to which AB is at right angles. Therefore, " if two straight lines" &c. QED PROP. IX. THEOR. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them... | |
| Euclid - 1835 - 540 páginas
...plane to which AB is at right angles. Therefore, " if two straight lines," &c. QED PROP. IX. THEOR. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them... | |
| 1836 - 472 páginas
...of them at right angles to a plane; the other is also at right angles to the same plane. VIII. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. IX. If two straight lines meeting... | |
| Euclid - 1837 - 410 páginas
...perpendicular (XI. 4.) to the plane BDE in which those lines are. Wherefore, if one, &c. PROP. IX. THEOR. Two **straight lines which are each of them parallel to the same straight line, and** are not both in the same plane with it, are parallel to one another. Let AB, CD be each of them parallel... | |
| John Playfair - 1837 - 332 páginas
...drawn through the same \ T5 " 1 point D, which is impossible (11. Ax. \ 1.). PROP. VIII. THEOR. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them... | |
| A. Bell - 1837 - 164 páginas
...to AB, and are drawn through the same point D ; which is impossible. PROPOSITION VIlI. THEOREM. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD, be each of them... | |
| Robert Simson - 1838 - 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** (9. 11.) to one another. Therefore AD is parallel to CF ; and it is equal (1. Ax. 1.) to it, and AC,... | |
| Euclides - 1841 - 378 páginas
...plane to which AB is at right angles. Therefore, if two straight lines, &c. QED PROP. IX. THEOR. 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 parallel to EF, and not in the same plane with it: AB shall be parallel to CD. In... | |
| John Playfair - 1842 - 332 páginas
...AB, and are drawn through the same point D, which is impossible (11. Ax. 1.). PROP. VIII. THEOR. Two **straight lines which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them... | |
| Euclides - 1842 - 320 páginas
...plane to which AB is perpendicular. Therefore, if two straight lines, &c. QED PROP. VIII. THEOR. Two **straight lines, which are each of them parallel to the same straight line,** though not both in the same plane with it, are parallel to one another. Let AB, CD be each of them... | |
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