| Robert Simson - 1806 - 546 páginas
...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 páginas
...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 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 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 páginas
...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 páginas
...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 páginas
...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 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, 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 páginas
...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 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** ; therefore AD is parallel to CF ; and it is equal* to it ; and AC, DF join them towards the same parts;... | |
| Euclides - 1834 - 518 páginas
...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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