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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 26
by John Gummere - 1814 - 346 pages
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...terms Rhombus and Rhomboid that of Parallelogram is often used ; and for Oblong the term Rectangle. 35. PARALLEL STRAIGHT LINES are such as are in the same plane, and which, being continually produced, never meet. POSTULATES. 1. Let it be granted that a straight line may be drawn...
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The Confessions of an Old Almsgiver; Or, Three Cheers for the Charity ...

J. Hornsby Wright - Asylums - 1881 - 239 pages
...wife. CHAPTER II. Of Parallel Activities. JARALLEL lines," saith Euclid (but I quote from memory), " are such as are in the same plane, and which being produced ever so far both ways do not meet." Fain would I see the twin Christian activities, — zeal for souls, and zeal for bodies, — -do likewise....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...trupezold. BOOK 1. — POSTULATES — AXIOMS XXXV. Parallel straight lines are such as — — ire in the same plane, and -which being produced ever so far both ways do not meet. The meaning of this definition is, that the space between the lines is always of the same breadth....
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Elements of Geometry, After Legendre: With a Selection of ..., Part 2

Charles Scott Venable - Geometry - 1881 - 366 pages
...greater than a right angle, is an obtuse angle. 1 2. Parallel straight lines are such as are in -A. the same plane, and which, being produced ever so far both ways, do not meet. 13. A plane figure is a plane terminated on all sides by lines. If the lines are straight, the space...
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Class lessons on Euclid

Marianne Nops - 1882
...angles.' 34. ' All other four-sided figures besides these are called trapeziums.' OF PARALLELS. 35. ' Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. NOTE. — The parts of the circle enumerated in defs. 17, 18, 19, are not referred to afterwards in...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882
...polygon is a rectilineal figure contained by more than four equal straight lines. Parallel straight I'nes are such as are in the same plane, and which being produced ever so far both ways do not meet. An axiom is a proposition so simple that the truth of it is admitted without proof. 2. Prop. 6, Book...
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The Practical Teacher, Volume 2

Education - 1883
...¡tmicircle is the part of a circle cut off by a diameter. А ¡са!гяе triangle has three unequal sides. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. A f astíllate is a self-evident problem, the use of which is at once granted if required. The three...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 pages
...figure which has its opposite sides equal, but not all its sides equal, nor its angles right angles. 28. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. 29. A parallelogram is a four-sided figure which has its opposite sides parallel. 30. A trapezium is...
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New Englander and Yale Review, Volume 42

Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - United States - 1883
...made by each of two straight lines with a transversal. Parallel straight lines are, by Euclid, defined "such as are in the same plane, and which being produced ever so far both ways do not meet." A number of writers on Elementary Geometry give a definition of parallel straight lines essentially...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883
...semicircle is the part of a circle cut off by a diameter. A scalene triangle has three unequal sides. Parallel straight lines are such as are in the same plane, and which being produced ever so fa: both ways do not meet. A postulate is a self-evident problem, the use of which is at once granted...
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