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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. "
The British encyclopedia, or, Dictionary of arts and sciences - Page 26
by William Nicholson - 1809
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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 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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An Essay on the Teeth of Wheels: Comprehending Principles, and Their ...

Robertson Buchanan - Gearing - 1808 - 164 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 - Natural history - 1809
...ways do not meet. A more in telhgible, and we think an equally rigid, demonstration of the properly of parallels, may be obtained without any axiom, by means of a new definition. It may at first sight be thought that the objection urged by I'layUir against the definition in T. SimpKir's first...
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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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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 346 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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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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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