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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. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 62
by Benjamin Greenleaf - 1874 - 176 pages
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., 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 point and BC the given straight line. It is required to draw through A a straight line parallel to BC. In BC...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...Wherefore straight lines, &c. QED PROP. 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 the point A, parallel to...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. 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 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
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...lines AB, CD, but on either side of both. PE 0 P. XXXL P 11 0 BLE M. To draw through a given point 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...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 630 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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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1857 - 444 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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...bisections an arc or angle may be divided into four equal parts, intc eight, sixteen, &c. PROBLEM VI. Through a given point, to draw a straight line parallel to a given line. Let A be the given point, and BC the B Be given straight line ; it is required to draw 7through...
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Elementary geometrical drawing

Samuel H. Winter - 1859
...i. 8. The construction, however, is somewhat simpler than that in Euc. i. 23. PROBLEM III. Through a point to draw a straight line parallel to a given straight line. Let MN (PI. I. Fig. 3) be the given line, P the point. With P as a centre describe a circle, cutting MN...
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