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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. "
Practical Essays on Mill Work and Other Machinery - Page 122
by Robertson Buchanan - 1823 - 588 pages
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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 plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. LET it be granted that a straight line...
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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 plane, and which, being produced ever so far both ways, do not meet. V POSTULATES. LET it be granted, that a straight line...
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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 plane, and which, being produced ever so far both ways, do not meet. (A.) A trapezium having two, only, of its sides parallel...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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 plane, and which, being produced ever so far both ways, do not meet. POSTULATES. 1. LET it be granted that a straight line...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 80 pages
...angles at the extremities of each of its parallel sides equal, or all its angles may be unequal. XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. Curved lines are also parallel, when in the same plane,...
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - Algebra - 1843 - 168 pages
...parallelograms, which Euclid could not do, inasmuch as he had not laid down the doctrine of parallels. 32. Parallel straight lines are such as are in the same plane, and being produced ever so far, do not meet. Or thus : Parallel straight lines are such as are in the same...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...angles right angles. xxxiy. 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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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 plane, and whic being produced ever so far both ways, do not meet. A. A parallelogram is a four-sided figure,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 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 plane, and which being produced ever so far both ways, do not meet. POSTULATES. I. Let it be granted, that a straight line...
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