| Robert Simson - Trigonometry - 1806 - 518 pages
...figures, besides these, are called trape- *- .v— i ziums. 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 to any other... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...sided figures besides these are called ziums. Book I. XXX. . 1 Parallel straight lines are such as **are in the same plane, and which, 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... | |
| William Nicholson - 1809
...means self-evident upon Euclid'« definition which he retains, ri:. Parallel straight lines are such as **are in the same plane, and which 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
...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
...the '20th to the 2.9th inclusive, may stand as at present. 30. Parallel straight lines are such as **are in the same plane, and which, being produced ever so far both ways, do not meet.** 31. A parallelogram is a four-sided figure, of which the opposite sides are parallel. 32. The diameter... | |
| Euclides - 1814
...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 - 528 pages
...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 to any other... | |
| William Nicholson - Natural history - 1821
...means self-evident upon Euclid's definition, which he retains, viz Parallel straight lines are such as **are in the same plane, and which 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 - Circle-squaring - 1819 - 333 pages
...four sided figures besides these, are called Trapeziums. XXX. 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 to any other... | |
| John Mason Good - 1819
...four sided figures besides thtsf, are called trapeziums. 35. Parallel straight line«, are such as **are in the same plane, and which, being produced ever so far both ways, do not meet.** Poitultii.ii. — 1. Let it be granted that a straight line may be drawn from any one point to lay... | |
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