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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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...or a given arc may be divided into four equal parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel...given straight line. Let A be the given point, and A '-..^ B CD the given straight line. '""--... From A draw a straight line, '"-•-...: AE, to any...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...arc by the line CD, as in the previous case; then will CD bisect ACS (B. IV. Th. II.). PROBLEM VI. Through a given point to draw a straight line parallel...given straight line. Let A be the given point and CD the given line. From. A as a centre, with a radius greater than the shortest distance from A to...
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Report of the commissioners, Volume 8

Schools inquiry commission - Education - 1868 - 742 pages
...Is the following a correct solution of the problem, 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 ; join AB, and on AB describe the equilateral triangle ADB. Produce DA to E; and with centre D at the...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...along it, so as to draw a series of perpendiculars to the ruler. All these lines will be parallel. F' Through a given point to draw a straight line parallel to a given straight line. 95. Let AB be the given straight line, and C the given point (fig. 81); from the point C drop the perpendicular...
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Modern Methods in Elementary Geometry

E. M. Reynolds - Geometry - 1868 - 172 pages
...CF were joined the three sides of the triangle EAD would be equal to those of FBC, each to each. 5. Through a given point to draw a straight line parallel to a given straight line. 6. Through a given point to draw a straight line making a given angle with a given straight line. 7....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...was required to be done. PROPOSITION II. PROBLEM. From a given point, to draw a straight line equal to a given straight line. Let A be the given point, and BCthe given straight line. It is required to draw from the point A, a straight line equal to BC. From...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...each other at F. Join DF and EF. Then DEF will be the triangle required. 44. Through a given print to draw a straight line parallel to a given straight line. Let A be the given point, and B (/the given straight line. Take any point D in BC. From the centre D, with the radius DA describe...
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Elementary geometry

James Maurice Wilson - 1869 - 260 pages
...the construction u tho same as before. COR. 3. Hence through any point a straight line can be drawn parallel to a given straight line. Let A be the given point, JSCthe given line. Draw any line AD to meet BC, and make the angle DAE equal to the alternate angle...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...along it, so as to draw a series of perpendiculars to the ruler. All these lines will be parallel. Through a given point to draw a straight line parallel to a given straight line. 95. Let AB be the given straight line, and C the given point (fig. 81); from the point C drop the perpendicular...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...bisected, the original arc or angle will be divided into eight equal parts ; and so on. PROBLEM VI. Through a given point, to draw a straight line parallel to a given straight line. Let A be a given point, and BC a given line. From the point A as a centre, with a radius AE, greater than the...
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