 | John Bonnycastle - Algebra - 1811 - 230 pages
...1, 25, and 49. 13. To find three square numbers in harmonical proportion. Ans. 1225, 49, and 25. 14. To find three numbers in arithmetical progression,...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... | |
 | Peter Barlow - Mathematics - 1811 - 536 pages
...the square of each shall be a square. 16. To find three square numbers in harmonical proportion. 17. To find three numbers in arithmetical progression such, that the sum of their cubes may be a cube. 18. To find three numbers such, that their sum may be a square, and the... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...of the first and second may be 2 less than the difference of the second and third. Ans. 5, 6, 9. 13. To find three numbers in arithmetical progression, -such that the sum of their squares may be 56, and the sum, arising by adding together 3 times the first and 3 times the... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...л: = — ; and if M = 3and ¿ = 2, ж = — -; and so on for any other numbers. 3. It is required to find three numbers in arithmetical progression...the sum of every two of them may be a square. Let x, x + y, and x + 2y, = the three numbers; and put 2x + у = t*, 2x + 2y = г/% and 2x + 3y= s*, agreeably... | |
 | Thomas Leybourn - Mathematics - 1817 - 456 pages
...this latter 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*... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...squares. Ans. f and f 12. To find three square numbers in arithmetical progression. Ans. 1, 25, and 49 13. To find three numbers in arithmetical progression such that the sum of every two of them shall be a squara number. Ans. 120£, 840-J-, and 1560£ 14. To find three numbers such, that, if to... | |
 | John Bonnycastle - Algebra - 1818 - 326 pages
...i and f 12. To find three square numbers in arithmetical progression. Ans. 1, 25, and 49 13. To Gnd three numbers in arithmetical progression such that the sum of every two of them shall be a square number. Ans. 120£, 840-J, and 156l)i 14. To find three numbers such, that, if to... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...of first and. second majy be 2 less than the difference of the second nnd th'rd. Ans. 5, G, 9. 13. To find three numbers in arithmetical progression, such that the sum of their squares may be,5B, and the sum arising by adding together once the first and 2 times the second... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...Elementary Treatise on Algebra,. Practical and Theoretical. (Art. 423.) ED. • 2-1. It is required to find three numbers in arithmetical progression, such that the sum of their squares shall be ?3; and if the first be multiplied by 3, the second by 4, and the third by 5,... | |
 | John Bonnycastle - Algebra - 1829 - 372 pages
...Ryan's Elementary Treatise on AI Sebra, Praciical and Theoretical. (Art. 423.) ; 24. It is required to find three numbers in arithmetical progression, such that the sum of their squares shall be 93 ; aod if the first be multiplied by 3, the second by 4, and the third by... | |
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It is required to find three numbers in arithmetical progression, such, that the sum of every two of them may be a square. 
