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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 Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 267
by Charles Butler - 1814
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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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Reading lessons, ed. by E. Hughes, Book 1

Edward Hughes - 1855 - 472 pages
...Parallel— from two Greek words meaning alongside of each ot1ier, as applied to lines, for instance, are such "as are in the same plane, and which: being produced ever so far both ways do not meet." Pendulum — from Pendeo, / hang, is technically defined as a vibrating body suspended from a fixed...
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Mensuration of Lines, Areas, Surfaces, and Volumes ...

Robert Rawson - 1856 - 178 pages
...four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight linos are such as arc in the same plane, and which being produced ever so far both ways, do not meet. POSTULATES. r Let it be granted, that a straight line may be drawn from any one point to any other...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...of the system. The definitions of parallel straight lines, and of a plane surface, are as follows : Parallel straight lines are such as are in the same plane, and being produced ever so far both ways do not meet. A plane surface is that in which any two points being...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 242 pages
...one which is less than a right angle. An obtuse angle is one which is greater than a right angle. 12. Parallel straight lines are such as are in the same plane, and which, being pi-oduced ever so far both ways, do not meet. 13. A plane figure is a plane terminated on all sides...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...Greek tables, at which the master sat at the broad end, that he might be seen by all his guests. ' 35. Parallel straight lines are such as are , in the same...being produced ever so far both ways, do not meet; as AB, y, CD. ' l' " """ ~D The least objectionable of the many definitions proposed, from which we...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...one which is less than a right angle. An obtuse angle is one which is greater than a right angle. 12. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. 13. A. plane figure is a plane terminated on all sides b} lines either straight or curved. If the lines...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...angles right angles. XXXIV. AH 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 side* are parallel : and the diameter,...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1861 - 244 pages
...which is less than a right angle. An obtuse angle is one which : s greater than a right angle. 12. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. 13. A. plane figure is a plane terminated on all sides lines either straight or curved. If the lines...
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