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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
The First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...twice sq. on AC together with twice sq. on CD. QED; To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. x) Let AB be the given st. line. On AB descr. the sq....
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...parts shall be equal to the square of the other part. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Upon AB describe the square ACDB ; TG bisect AC in...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. CONSTRUCTION. — Upon AB describe the square ABDC...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...and PG, and is .-. = the square on GQ, (i. 35) PROBLEM B. To divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let PQ be the given straight line. On PQ describe the...
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The Madras University Calendar, Volume 1

University of Madras - 1874
...THURsDAY, 12rn FEB., 2 TO 5 PM GEOMETRY. H. FORTEI, MA I. Divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Divide a line AB in C so that the rectangle contained...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If on the larger of the two parts into which the given...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...the other part. 1. Let AB be the given straight line : it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. _ On AB describe the ^' square ABDC ; bisect AC in E;...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...straight line, &c. QED PROPOSITION 11.— Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. Let AB be the given straight line. It is required to...
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A school algebra to quadratic equations

Charles Mansford - 1875
...horse cost. How much did he give for the horse ? 13. Divide a line a foot long into two parts such that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. [Euclid ii. 11.] 14. A conveyance was ordered for a...
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Examination Christmas,1875

Education Department,London - 1876
...others so described with twice the original square. 3. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If the constructed figure be completed to form an oblong,...
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