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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 - Σελίδα 62
των Euclid - 1781 - 520 σελίδες
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...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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...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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University of Madras - 1874 - 502 σελίδες
...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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...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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Edward Atkins - 1874 - 426 σελίδες
...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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Braithwaite Arnett - 1874 - 130 σελίδες
...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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...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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...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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...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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