 | Euclides - 1871 - 136 pages
...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.... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 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... | |
 | Edward Atkins - 1874 - 426 pages
...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... | |
 | University of Madras - 1874 - 502 pages
...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... | |
 | Euclides - 1874 - 120 pages
...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;... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Charles Mansford - 1875 - 110 pages
...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... | |
 | Edward Atkins - 1876 - 130 pages
...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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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. 
