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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. "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Side 9
av Euclides - 1847
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...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; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...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: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...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...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 point. 2. That...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1842 - 318 sider
...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 - 1843 - 80 sider
...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 - 1843 - 168 sider
...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 - 1845 - 218 sider
...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...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 point. II. That...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...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 - 546 sider
...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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