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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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Measurement - 1842 - 288 pages
...quadrilateral, whose sides are ill equal, but its angles not right angles.* 35. Parallel right line* 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. / 7 ThU figure, by working...
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A course of practical geometry for mechanics

William Pease - Geometry - 1843 - 68 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...being produced ever so far both ways, do not meet. Curved lines are also parallel, when in the same plane, and kept at a given radiating distance throughout....
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Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - Algebra - 1843 - 147 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 - 199 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...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 Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 352 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. Afyurt is that which is enclosed by one or more boundaries. 13. Rectilineal or rectilinear figures...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 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 drawn from any one point to any other...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...four-sided figures besides these, are called Trapeziums. Trapezium is a Greek word, signifying a table. 34. 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, 1. That a straight line may be drawn from any one point to any other...
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Lessons on the delineation of form

Charles Richson - 1848
...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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