| Robert Simson - 1806 - 546 pages
...xxxiy. Book i. AH other four sided figures, besides these, are called trape- *- .v— i ziums. XXXV. **Parallel straight lines are .such as are in the same...being produced ever so far both ways, do not meet.** POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other... | |
| John Playfair - 1806 - 320 pages
...angles right angles. XXIX. All other four sided figures besides these are called ziums. Book I. XXX. . 1 **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet.** N. * POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other... | |
| Robertson Buchanan - 1808 - 216 pages
...line, which passes through a point in the circumference without cutting it. 114 10. Parallel right **lines are such as are in the same plane, and which, being** continued ever so far either way, never meet. 11. The term perpendicular is the same with square, as... | |
| William Nicholson - 1809 - 708 pages
...perceive that his axiom is by any means self-evident upon Euclid'« definition which he retains, ri:. **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet.** A more intelligible, and we think an equally rigid, demonstration of the property of parallels, may... | |
| John Mason Good - 1813 - 722 pages
...ligures besides these, are called trapeziums. 35. Parallel straight lines, are si:ch as are in the «ams **plane, and which, being produced ever so far both ways, do not meet.** Pottalalfi. — 1 . Let it b* granted that a straight line ir.ay be drawn froir. any one point to any... | |
| Charles Butler - 1814 - 528 pages
...segment is called a semi-circle. From the 20th to the 29th inclusive, may stand as at present. 30. **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet.** 3 1 . A parallelogram is a four-sided figure, of which the opposite sides are parallel. 32. The diameter... | |
| Euclides - 1814 - 560 pages
...angles right angles. XXXIV. All other four-sided figures besides these, are called Trapeziums. XXXV. **Parallel straight lines, are such as are in the same...plane, and which, being produced ever so far both** ways,do not meet POSTULATES. I. LET it be granted that a straight line may be drawn from any one point... | |
| Euclides - 1816 - 588 pages
......,../ ." ,.-' A XXXIV. Boo* I. All other four-sided figures besides these, are called Trapeziums. XXXV. **Parallel straight lines, are such as are in the same...being produced ever so far both ways, do not meet.** POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other... | |
| William Nicholson - 1821 - 402 pages
...perceive that his axiom is by any means self-evident upon Euclid's definition, which he retains, viz **Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet.** A more intelligible, and we think an equally rigid demonstration of the property of parallels may be... | |
| John Playfair - 1819 - 350 pages
...angles right angles. XXIX. All other four sided figures besides these, are called Trapeziums. XXX. **Parallel straight lines, are such as are in the same...being produced ever so far both ways, do not meet.** POSTULATES. I. LET it be granted that a straight line may be drawn from any one point to any other... | |
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