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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Edward Atkins - 1874
...square 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... | |
| 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... | |
| Francis Cuthbertson (geometer.) - 1874
...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... | |
| Robert Potts, Thomas Kirkland - Geometry - 1876 - 403 pages
...of the squares of the segments of the diameter. 5. 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. Solve the problem algebraically. Interpret and... | |
| Edward Atkins - 1876
...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... | |
| 7 - 1876
...of any other equal triangle upon the same base. III. 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 of the other part. IV. (a) If from any point without a circle two... | |
| 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... | |
| James Hamblin Smith - Geometry - 1876 - 348 pages
...sq. on CD. QEB LA. IB Cor. PROPOSITION XI. PROBLEM. To divide a given straiyht line into two parts, **so that the rectangle contained by the whole and one of the** parts sliatt be equal to the square on the other part. It JD K n Let AB be the given si. line. On AB... | |
| Euclides - 1879
...the beginning of Book ii.] PROPOSITION XI. PROBLEM. 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. Let AB be the given st. line. It is required to... | |
| Moffatt and Paige - 1879
...square on the other part. 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 shall be equal to the square on the other part. Upon AB describe the square ACDB (I. 46) bisect... | |
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