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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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 - 472 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
...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 - 390 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 - 240 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
...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 ...

Euclid, Robert Simson - Geometry - 1838 - 416 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 - 351 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
...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...being 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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 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. POSTULATES. 1. LET it be granted that a straight line may be drawA from any one point to any other...
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