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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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 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. 20 PRACTICAL GEOMETRY. 37....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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. I. LET it be granted that a straight line may be drawn from any one point to any other...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...its angles right angles. 29. All other four sided figures besides these, are called Trapeziums. 30. Parallel straight lines, are such as are in the same...being produced ever so far both ways, do not meet. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals,...
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Exercises in orthography and composition on an entirely new plan

Henry Hopkins (A.M.) - 1837 - 224 pages
...his friend. He published a paraphrase of that psalm. The crystals are not all o/^the same shape. " Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet." The two ponies ran a race, and the black one won. " The greater distance of time there is between the...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...An acute angle is that which is less than a right angle. 11. Parallel straight lines are those which are in — • the same plane, and which, being produced ever so far both ways, do not meet. 12. A figure is that which is enclosed by one or more boundaries. 13. Rectilineal figures are those...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...straight line joining two of the opposite angular points of a quadrilateral, is called a diagonal. 38. Parallel straight lines are such as are in the same plane, and which, being produced eyer i so far both ways, do not meet. POSTULATES. 1. Let it be granted that a straight- line may be...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...right angles. /_ f XXX. , All other four-sided figures besides these, are called Trape2iums. XXXI. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. V POSTULATES. 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 - Geometry - 1838 - 434 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. 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; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...angles right angles. XXXIV. Any other four-sided figure, besides these, is called a trapezium. XXXV. Parallel straight lines are such as are in the same plane, and which, however far produced either way, do not meet. B 2 POSTULATES. I. Let it be granted, that a straight...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...sides equal to one another, but all its sides are not equal, nor its angles right angles. XXXIV. XXXV. Parallel straight lines are such as are in the same...produced ever so far both ways, do not meet. (A.) A trapezium having two, only, of its sides parallel to one another is now called a trapezoid. POSTULATES....
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