| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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;... | |
| 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... | |
| 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... | |
| 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,... | |
| |