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" To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw a straight line through the point A parallel to the straight line BC. In BC take any point... "
Mensuration for Beginners: With Numerous Examples - Page 17
by Isaac Todhunter - 1869 - 296 pages
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...straight lines &c. \ QED X PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line; it is required to draw a straight line through A parallel to BC. p ^ In...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...can be parallel to CD, and AB itself must be parallel to C D. 37. PROBLEM. — Through a given point to draw a straight line parallel to a given straight line. Let F 22 AB be the given line and C the given point (fig. 22). SOL. — With C as a centre and any convenient...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 2

Charles Hutton - Mathematics - 1831 - 662 pages
...through o.' instead of a", and using the distance p'V instead of r'q,'. PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let AB be the ground line, r'd' and p"o." the horizontal and vertical projections of the given line, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...1. fore, " straight lines," &c. QED PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight . _-, line through the point A, parallel...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...parts, into eight, into sixteen, and so ri" • PROBLEM VI. V...-- Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. 3 From the point A as a centre, with a radius greater than the shortest distance...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...straight line, are parallel to one another. PROP. IV. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through the point A parallel to...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...is parallel to CD (I. 27). PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line E > r In BC take any point D, and...
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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
...described one on each side of it. PROP. II. PROB. FUOM a given point to draw a straight line equal to a given straight line.§ Let A be the given point, and BC the given straight line ; it is required to draw from A a straight line equal to BC. From the point...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...AB. Which was required to be done. PROP. II. PROB. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw from the point A a straight line equal to BC. «i...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...Wherefore straight lines, &c. QED * ". l. PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line; it is required to draw a r A r straight line through the point A, ~/ parallel...
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