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" 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 ; it is required to draw, from the point A, a straight line equal to BC. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 5
by Euclides - 1853
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the middle points of all straight lines which have one extremity in a given point and the other in a given straight line. Let A be the given point, and BC the given line, and let any line AD be drawn from A to meet the line BC in any point D, and be bisected in P....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...other. A CLASSIFICATION OF THE PROPOSITIONS OF BOOK I. Problems. A. Relating to Straight Lines. 1. From a given point, to draw a straight line equal to a given finite straight line . . . . . . . I. 2. 2. From the greater of two given straight lines to cut off...
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Outlines of geometry; or, The motion of a point

Walter Marsham Adams - 1866 - 114 pages
...be done at once by a twofoot rule or a pair of compasses ? For example, when Euclid has a problem, " From a given point to draw a straight line equal to a given straight line," the question at once suggests itself, — Why not take a piece of string and measure it ? The answer...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 pages
...ABC is therefore equilateral, and it is described upon the 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,...
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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
...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,...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 E D, and...
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Report of the commissioners, Volume 8

Schools inquiry commission - Education - 1868 - 742 pages
...words in italics necessary, and if so, why? 4. Is the following a correct solution of the problem, from a given point to draw a straight line equal to...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...described upon the given straight line A B. Which was required to be done. PROPOSITION II. PROBLEM. From a given point, to draw a straight line equal...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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...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
...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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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...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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