 | 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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Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
