 | Robert Simson - 1806 - 546 lehte
...angles. Therefore, if two straight lines, &c. QED c41. d8. 1. e4.l1. £3. def. 11. 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.... | |
 | John Mason Good - 1813 - 714 lehte
...angles to a plane ; the other also shall be at right angles to the same plane. Prop. IX. Theor. Two straight lines which are each of them parallel to the same straight line, and not in the same plaue with it, are parallel to out- another. Prop. X. Theoj. If two straight lines meeting one another... | |
 | Euclides - 1814 - 560 lehte
...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 plane with it, are parallel to one another. In EF take any point G, from which draw, in the plane passing through EF, AB, the straight line GH... | |
 | Euclides - 1816 - 588 lehte
...Therefore AD and CF are each of them equal and parallel to BE. But straight lines that HIV pa-' rallel to the same straight line, and not . in the same plane with it, are parallel13 to one another. Therefore AD is paral. lei to CF ; and it is equal c to it, and AC, DF join... | |
 | John Playfair - 1819 - 350 lehte
...the same point D, which is impossible (11. Ax. 1 .). Therefore, &c. Q, ED • A E PROP. VIII. THEOR. Trvo straight lines which are each of them parallel to the same straight line, though not both in the same plane wtt/t it, are parallel to one antither Let AB, CD be each of them... | |
 | John Playfair - 1819 - 354 lehte
...same point D, which is impossible (11. Ax. 1 .). Therefore, &c. Q, ED A E B 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 parallel... | |
 | Euclid, Robert Simson - 1821 - 514 lehte
...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, and not hi the same plane with it, are parallel to one another. Let AB, CD be each of them parallel to EF,... | |
 | Peter Nicholson - 1825 - 1046 lehte
...to BE. Therefore AD atid 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,... | |
 | Robert Simson - 1827 - 546 lehte
...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 ; therefore AD is parallel to CF ; and it is equal* to it ; and AC, DF join them towards the same parts;... | |
 | Euclides - 1834 - 518 lehte
...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 • 9. 11. with it, are parallel * to one another ; therefore AD is parallel • 1 Ax. 1. to CF ; and... | |
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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... 
