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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 hue BC. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 79
by William Chauvenet - 1872 - 368 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...which are parallel, &c. QED PROPOSITION XXXI. PROBLEM. To draw a straight line throt4gh 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 the point A, a straight line parallel to the straight...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...the side AC is equal to DF. PROPOSITION XXXIII. PROB. 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 a straight line through the point A, parallel to the line BC....
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 440 pages
...given Angle 41 To bisect a given Rectilineal Angle 42 To draw a Straight Line touching a Circle 42 Through a given Point to draw a Parallel to a given Straight Line 42 To inscribe a Circle in a given Triangle 43 To describe a Circle about a given Triangle 43 To find...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to a gwen 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. From the point...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...Wherefore, straight lines &c. QED PROPOSITION 31. 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 the straight...
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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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel to a 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
...then will CD bisect ACS (B. IV. Th. II.). PROBLEM VI. Through a given point to draw a straight line parallel to a 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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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
...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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