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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
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Pure mathematics, Τόμος 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...

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...

Euclidian Geometry

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...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...

The Madras University Calendar, Τόμος 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...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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;...

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...

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...

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,...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 σελίδες
...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...

The Pupil teacher, a monthly educational journal. H. Major, ed

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...with twice the rectangle contained by the parts. 3. 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. Algebra. — 1. A man invests half his property at...




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