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Books Books 1 - 10 of 10 on Problems, the first of which finds "three square numbers, such that the sum of every....  
" Problems, the first of which finds "three square numbers, such that the sum of every two of them may be a square number;" the second determines " values for the sides of a triangle in whole numbers, such that the lengths of the three lines from the angles... "
Key to Ray's Algebra: Parts First and Second : Containing Statements and ... - Page 331
by Joseph Ray - 1852 - 343 pages
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 220 pages
...proportion. Ans. 1225, 49, and 25. 14. To find three numbers in arithmetical progression, such that the sum of every two of them may be a square number. Ans. 120-J, 840i,ond I560£. 15. To find three numbers, such that, if to the square of each of them...
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The mathematical questions, proposed in the Ladies' diary, and ..., Volume 3

Thomas Leybourn - Mathematics - 1817
...case. vi. QUESTION 974, by Mr. James Cunliffe, Weslhoughton. To find three whole numbers such, that the sum of every two of them may be a square number, and also that their squares may be in arithmetical progression. Answered by Amiens. Let a* + 2a*o"...
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The Leeds Correspondent: A Literary, Mathematical, and ..., Volume 2

John Ryley, John Gawthorp, John Whitley - Mathematics - 1818 - 4 pages
...(143,) By Mr. JOHN BAINES, Jun. . Find three numbers in arithmetical progression such than n times the sum of every two of them may be a square number. Answeredby MR. E. WEBSTER, Armley Mills. Suppose x — y,x,and *+^tobe'the required numbers. t(2x+y-)xn=p''nn...
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An elementary treatise on algebra. [With] Key

James Thomson - History - 1844
...4x, and 2* + 1, as the required numbers, and he thus obtains very simply the answers here given. 9. Required three numbers, such that the sum of all three, and the sum of every pair of them, may be square numbers. An,. K«2—l), T,V(t,.2—i)2_|(t.2—i), and 10. Render fa:3...
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An elementary treatise on algebra: theoretical and practical

James Bates Thomson - Algebra - 1845 - 308 pages
...4x, and 2x+ 1, as the required numbers, and he thus obtains very simply the answers here given. 9. Required three numbers, such that the sum of all three, and the sum of every pair of them, may be square numbers. An*. K«2-l), TIW«2-1)2-K«2-l)> *"* i(«2 + 2). 10. Render G^...
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Application of the angular analysis to the solution of indeterminate ...

C. Gill - Diophantine analysis - 1848 - 90 pages
...and taking ¿ = 82, we have x = 6242, у =3362, z =482. PROBLEM. VII. To find four numbers, such that the sum of every two of them may be a square number. ¿Solution. The equations to be solved are and they give These last equations may be solved by Prob....
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 55

Industrial arts - 1851
...solutions to three Diophantine Problems, the first of which finds "three square numbers, such that the sum of every two of them may be a square number ;" the second determines " values for the sides of a triangle in whole numbers, such that the lengths...
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THE MECHANICS' MAGAZINE MUSEUM

J.C. ROBERTSON - 1851
...solutions to three Diophantine Problems, the first of which finds "three square numbers, such that the sum of every two of them may be a square number;" the second determines " values for the sides of a triangle in whole numbers, such that the lengths...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 55

Sholto Percy - Industrial arts - 1851
...solutions to three Diophantine Problems, the first of which finds " three square numbers, such that the sum of every two of them may be a square number;" the fécond determines "values for the sides of a triangle in whole numbers, such that the lengths...
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Mathematical Questions and Solutions, Volume 58

Mathematics - 1893
...elsewhere has been made the subject of a dispute.] 731. (Amicus.) — Find three numbers such that the sum of every two of them may be a square number, and that the sum of the three squares thus found may be also a square number. 741. (JW Elliott.) —...
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