| Edward Atkins - 1874 - 426 pages
...double of the squares on AC and CD. Therefore, if a 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.... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...A. ri r, 7 1 •K i J7 PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part together with the square on the... | |
| Education Department,London - 1876 - 1010 pages
...described will be equal to the sum of all the 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.... | |
| Henry Major - 1876 - 784 pages
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 2. **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.... | |
| Edward Atkins - 1876 - 130 pages
...double of the squares on AC and CD. Therefore, if a 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.... | |
| Robert Potts - Geometry - 1876 - 446 pages
...produced to meet in E, if AC, OE meet in F, O being the centre of the polygon, shew that AF.FC=OF.FE. 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.... | |
| University of Madras - 1876 - 580 pages
...perimeter of an isosceles triangle is less than that 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.... | |
| 1877 - 680 pages
...together with the square of the other part. What is the algebraical equivalent to this proposition? 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 of the other part.... | |
| Alfonzo Gardiner - 1878 - 146 pages
...15, and their difference is 2. Find the numbers. 7. If a straight line be divided into any two parts **the squares on the whole line and on one of the parts** are equal to twice the rectangle contained by the whole and that part together with the square on the... | |
| Edward Harri Mathews - 1879 - 94 pages
...described will be equal to the sum of all the 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.... | |
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