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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 267
by Charles Butler - 1814
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 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...
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An Essay on the Teeth of Wheels: Comprehending Principles, and Their ...

Robertson Buchanan - Gearing - 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...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

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

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...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 390 pages
...as BDE, Fig. 4. 11. An obtuse angle is that which is greater than a right angle, as ADE, Fig. 4. 13. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet, as AB, CD, Fig. 5. 13. A figure is a space bounded by one or more lines. 14. A plane triangle is a...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - Surveying - 1817 - 206 pages
...which is greater than a right angle, as A p E, Fig. 4. 12. Parallel straight lines are those which are in the same plane, and which., being produced ever so far both ways, do not meet, as А В, С D, Fig. 5. 13. A figure is a space bounded by one or more lines. 14. A plane triangle...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 9

William Nicholson - Natural history - 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...
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