 | Robert Simson - Trigonometry - 1806 - 546 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 - Mathematics - 1806 - 320 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 - 716 pages
...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 - 714 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 - 582 pages
...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 - 560 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... | |
 | Euclides - 1816 - 588 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... | |
 | John Mason Good - 1819 - 800 pages
...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... | |
 | John Playfair - Circle-squaring - 1819 - 350 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... | |
 | William Nicholson - Natural history - 1821 - 402 pages
...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... | |
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Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
