 | Robert Potts - 1868 - 434 pages
...line into two parts, such that the sum of their squares may be the least possible. 10. Divide a line into two parts, such that the sum of their squares shall be double the square on another line. 11. Shew that the difference between the squares on the two unequal... | |
 | William Frothingham Bradbury - Algebra - 1868 - 270 pages
...conditions, they are practically inadmissible, and are therefore not given in the answers. 1 . Divide 40 into two parts such that the sum of their squares shall be 1042. SOLUTION. Let x = one part ; then 40 — x — other part. Then, 3? + (40 — z)1 = 1042 Expanding,... | |
 | James Haddon - Algebra - 1871 - 244 pages
...number is always greater than the product of any two unequal parts of it. 3. Divide a given number 2 a into two parts, such that the sum of their squares shall be less than the sum of the squares of any other two parts into which that number may be divided. Let... | |
 | Edward Olney - Algebra - 1873 - 354 pages
...problem possible in the arithmetical sense? "What are the parts for this value of Ъ ? 8. Divide a into two parts, such that the sum of their squares shall be a minimum. Sue's. — Let x and a—x be the parts, and m the minimum sum. Then «* + (« — x)* = 2ж2... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...line into two parts, such that the sum of their squares may be the least possible. 10. Divide a line into two parts, such that the sum of their squares shall be double the square on another line. 11. Shew that the difference between the squares on the two unequal... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...straight line. What different cases are there of this proposition? (20.) 29. Divide a given straight line into two parts, such that the sum of their squares shall be equal to a given square. What limitation is implied in this question as to the size of the square?... | |
 | Edward Olney - 1878 - 360 pages
...the problem possible in the arithmetical sense? What are the parts for this value of Ъ ? 8. Divide a into two parts, such that the sum of their squares shall be a minimum. BUG'S. — Let x and a—x be the parts, and m the minimum sum. Then я-г -f. (a — a;)*... | |
 | Edward Olney - Algebra - 1878 - 516 pages
...the problem possible in the arithmetical sense ? What are the parts for this value of b ? 8. Divide a into two parts, such that the sum of their squares shall be a minimum. BUG'S. — Let x and a — x be the parts, and m the minimum sum. Then a5 + (a — xf = 2z*... | |
 | Edward Harri Mathews - 1879 - 94 pages
...straight line. What different cases are there of this proposition ? 3. Divide a given straight line into two parts, such that the sum of their squares shall be equal to a given square. What limitation is implied in this question as to the size of the square ?... | |
 | Robert Potts - 1879 - 668 pages
...hours more; С in twice the time. How long did the work occupy them ? xvni. 1. Divide a given line into two parts such that the sum of their squares shall be double the square of another line ; and determine the limit of the possibility of the problem. 2. A... | |
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Divide a line into two parts, such that the sum of their squares shall be double the square on another line. 
