 | John Bonnycastle - 1782 - 226 σελίδες
...them the fum of the other two bs added, the three fums fhall be all fquares. Anf. \, V6 a** I. 14. To find two numbers in proportion as 8 is to 15, and fuch that the fum of their fquares mall make a fquare number. Anf. 576 and 1080. 15. To find three... | |
 | John Bonnycastle - 1811 - 230 σελίδες
...them the sum of the other two be added, the three sums shall be all squares. Ans. J, >.'', and 1. 16. To find two numbers in proportion as 8 is to 15, and such that the sum of their squares shall make a square number. Ans. 576 and 1080. 17. To find four numbers such that, if a square number (100)... | |
 | John Bonnycastle - 1818 - 284 σελίδες
...each the sum of the other two be added, the three sums shall be all squares. Ans. f and '•.:' 15. To find two numbers in proportion as 8 is to 15, and...the sum of their squares shall be a square number. Ans. 576 and 1080 16. To find two numbers such, that if the square of each be added to their product,... | |
 | John Bonnycastle - 1825 - 336 σελίδες
...each the sum of the other two be added, the three sums shall be all squares. Ans. 1, |, and 'J. Is. To find two numbers in proportion as 8 is to 15, and...the sum of their squares shall be a square number. Ans. 576 and 1080. 16. To find two numbers such, that if the square of each be added to their product,... | |
 | John Bonnycastle - 1829 - 372 σελίδες
...other two be added, the three sums shall be all squares. Ans. 1 , f , and V," • 15. To find i wo numbers in proportion as 8 is to 15. and such that...the sum of their squares shall be a square number. Ans. 576 and 1080. 16. To find two numbers such, that if the square of each be added to their product,... | |
 | John Radford Young - 1832 - 408 σελίδες
...ргж + 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 —... | |
 | James Ryan - 1838 - 412 σελίδες
...numbers 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... | |
 | John Radford Young - 1839 - 332 σελίδες
...2cpx, .-. 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... | |
 | John D. Williams - 1840 - 634 σελίδες
...= 5 ; and the three numbers are 36s, 72, and б2, or 1225, 49, and 25. ч 88. Find 2 numbers in the proportion as 8 is to 15 and such that the sum of their squares shall be a square number. Let Sx and \5x be the numbers required ; then 64Ж2 -J- 225ж* = 289з* = a square, which it evidently... | |
 | Horatio Nelson Robinson - 1844 - 184 σελίδες
...numbers in harmonical proportion. Ans. 25, 49, and 1235. 14. Find two numbers in the proportion of 8 to 15, and such that the sum of their squares shall be a square number. Ans. 136 and 255. Bonnycastlc's answer, 476 and 1080. 15. Find two numbers such that if each of them... | |
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To find two numbers such, that if the square of each be added to their product, the sums shall be both squares. Ans. 9 and 16 17. 
