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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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...which are parallel, &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 BC the given straight line. It is required to draw, through the point A, a straight line parallel to...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...which are parallel, &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 BC the given straight line. It is required to draw, through the point A, a straight line parallel to...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...their areas are equal, and 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...
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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...
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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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...divided into four equal 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
...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 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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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...
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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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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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