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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. "
A Treatise on Surveying: Containing the Theory and Practice : to which is ... - Page 24
by John Gummere - 1846 - 266 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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...
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Easy Introduction to Mathematics, Volume 2

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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 9

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

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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