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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. "
American Edition of the British Encyclopedia: Or, Dictionary of Arts and ...
by William Nicholson - 1821
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 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...being produced ever so far both ways, do not meet. A. A parallelogram is a four-sided figure, of which the opposite sides are parallel : and the diameter...
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Lessons on the delineation of form

Charles Richson - 1848 - 98 pages
...to touch the extremities of the lower horizontal; — beginning on the left side. DEFINITION. — " Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet." EXERCTSES. — 1. Draw the above figure in various sizes. 2. Two isoceles triangles are here formed;...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...is a quadrilateral, whose sides are all equal, but its angles not right angles.* 35. Parallel right lines are such as are in the same plane, and which...being produced ever so far both ways, do not meet. 36. A. parallelogram is a quadrilateral whose opposite sides are parallel. 1 This figure, by working...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles right angles. xxxrv. 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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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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...being produced ever so far both ways, do not meet. Fig. 1. Fig. 2. [Fig. 1. lines parallel; Jig. 2. lines not parallel. Observe particularly the words,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...its angles right angles. 34. All other four-sided figures besides these are called Trapeziums. 35. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 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...being produced ever so far both ways, do not meet. POSTULATES. L Let it be granted that a straight line may be drawn from any one point to any other point....
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...angles right angles. xxxrv. 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. Let it be granted that a straight line may be drawn from any one point to any other point....
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...opposite sides equal to one another, but all its sides are not equal, nor its angles right angles. Parallel straight lines are such as are in the same plane, and which, being produced ever во far both ways, do not meet. If etch pair of opposite sidea of a quadrilateral be parallel lines,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...but if one opposite pair be parallel and the other pair not, the figure is called a trapezoid. XXXV. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. The meaning of this йейпШьп is, that the space between the lines is always of the same breadth....
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