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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. "
Mensuration for Beginners: With Numerous Examples - Page 4
by Isaac Todhunter - 1869 - 296 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 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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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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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...consequently can never be produced so as to meet, in which case the lines are said to be parallel : Therefore, 9. Parallel straight lines are such as are in the same plane but not inclined to each other, A - Jt or when indefinitely produced both ways do c - 11 never meet,...
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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 - 1809
...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
...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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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 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...
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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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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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