 | 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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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... 
