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" Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. "
Euclid - Page 63
by Euclid, Rupert Deakin - 1903 - 164 pages
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...Which was to be proved. /KH A. r / 0 D PEOP. XXXI. PEOB. To draw a straight line through, a given point parallel to a given straight line. Let A be the given...BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC take any point D ; EA and join AD. At the point 7 A...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...straight line AB. Which was to be done. PROP II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line; it is required to draw from the point A a straight line equal to BC. From the point A to B draw (Post. 1.) the straight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...described upon the given straight line AB. 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 iine ; it is required to draw, from the point A, a straight line equal to BC. From the point A to B...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...straight Lines. 12 ... From a given point to draw a straight line equal to a given finite straight line. Through a given point to draw a straight line parallel to a given straight line. From the greater of two given straight lines to cut off a part equal to the less. To bisect a given...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...straight lines, &c. QED 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 b С the given straight line ; it is required to draw a straight liae through the point a, parallel...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...four equal parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BO the given line. From the point A as a centre, F .g with a radius AE, greater than the shortest distance...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1854 - 304 pages
...two equal parts . . . .29 3. From any given point in a right line to erect a perpendicular . 29 4. Through a given point to draw a straight line parallel to a given straightline 30 5. To divide a right line inti any number of equal parts . . 31 6. To divide a triangle...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point A. as а Л centre, with a radius...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...each of its sides double the base. PROP. II. PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and B С the given straight line. It is required to draw from the point A a straight line equal to B С....
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...four equal parts, into eight, into sixteen, and so on. PROBLEM VI. Through a given point, to draw a line parallel to a given straight line. Let A be the given point, and BC the given line. From the point A as a centre, „ E with a radius J.-E'jgreater than the shortest distance from...
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