 | John Radford Young - Algebra - 1832 - 408 pages
...+ 2cp, 2c— 6 \ whence a; = - - -. a—P EXAMPLES. 1. Find two numbers, whose sum shall be 16, and such, that the sum of their squares shall be a square. Let x be one number, then 16 — x is the other, and we have to make x1 + (16 — *)*, or 2-t-2 — 32x... | |
 | Mathematics - 1836 - 352 pages
...question contains something absurd and contradictory. This is plainly the case; for we cannot divide 1 0 into two parts such that the sum of their squares shall be less than 50. The imaginary values of x however satisfy the question, and, as before, the two roots... | |
 | James Ryan - Algebra - 1838 - 412 pages
...whatever, provided n be greater than unity. 537. Ex. 2. Find two numbers, whose sum shall be 16, and such, that the sum of their squares shall be a square. Let a:= one of the numbers, then 16 — x denotes the other, and we have to make x2+(x — 16)2, or 2a2—... | |
 | John Radford Young - 1839 - 332 pages
....-. ax + Ъ = p*x + 2cp, whence a — yf ; EX AMPLES. Find two numbers, whose sum shall be 16, and such, that the sum of their squares shall be a square. Let x be one number, then 16 — x is the other, and we have to make x2 + (16 — x)2, or 2x" — 32x +... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Euclides - 1864 - 448 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... | |
 | Euclides - 1864 - 262 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... | |
 | Robert Potts - 1865 - 528 pages
...fig. Euc. n. 5, twice the triangle AMG will be equal to AC'+ CD>; or AC. AD- CD.BD. 12. Divide a line into two parts, such that the sum of their squares shall be double the square on another line. 13. Shew that the difference between the squares on the two unequal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...their difference is double the squares on the two straight lines. 139. Divide a given straight line into two parts such that the sum of their squares shall be equal to a given square. 140. Divide a given straight line into two parts such that the square on one... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...their difference is double the squares on the two straight lines. 139. Divide a given straight line into two parts such that the sum of their squares shall be equal to a given square. 140. Divide a given straight line into two parts such that the square on one... | |
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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. 
