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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 Introduction to Mensuration and Practical Geometry - Page 17
by John Bonnycastle - 1848 - 288 pages
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...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 plane, and which,...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 - 872 pages
...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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...H. In the same manner it may be shewn that they do not meet towards E, G. But straight lines which are in the same plane, and which being produced ever so far both ways do not meet are parallel; therefore EF is parallel to GH. EUCLID'S ELEMENTS. PROPOSITION 17. THEOREM. If two ttraight...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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 to any other...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 pages
...they are not parallel) would never meet when produced. The full definition is. / " Parallel straight lines are such as are in the same plane and which...being produced ever so far both ways, do not meet." SECTION II. (o) If the equal sides of an isosceles triangle be produced, the angles on the other side...
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The Weston school manual

Colin Arrott R. Browning - 1884 - 274 pages
...the lengths of lines bounding any other figure is often called the perimeter of that figure. Parallel Lines are such as are in the same plane, and which...being produced ever so far both ways, do not meet. (2) A Superficies, or area, is the outside surface or boundary of a solid. It has only two dimensions...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...figures besides a square, oblong, rhombus and rhomboid, 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. XXXVI. A parallelogram is a four-sided figure whose opposite sides are parallel, and its diagonals...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...How does a rhomboid differ from a rhombus f 14. PARALLELS AKD PARALLELOGRAMS. 35. Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. (A.) A parallelogram is a four-sided figure whose opposite sides are parallel. (B.) A diagonal of a...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...the center, and terminated both ways by the circle. 56. An Arc is a part of a circle. 57. Parallel Lines are such as are in the same plane, and which,...being produced ever so far both ways, do not meet. The point is called the Vertex, and the lines are called the Arms, of the angle. A line drawn from...
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