 | 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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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
