Bonjour
carré magique :
59/78 | A | B
79/182 | C | 103/182
13/42 | 517/546 | D
la somme :
= 59/78 + 79/182 + 13/42
= (59 x 7)/(78 x 7) + (79 x 3)/(182 x 3) + (13 x 13)/(42 x 13)
= 413/546 + 237/546 + 169/546
= 819/546
= (3 x 273)/(2 x 273)
= 3/2
2eme ligne :
79/182 + C + 103/182 = 3/2
C = 3/2 - 79/182 - 103/182
C = 819/546 - 237/546 - (103 x 3)/(182 x 3)
C = 819/546 - 237/546 - 309/546
C = 273/546
C = 273/(273 x 2)
C = 1/2
2eme colonne :
A + 1/2 + 517/546 = 3/2
A = 3/2 - 1/2 - 517/546
A = 2/2 - 517/546
A = 1 - 517/546
A = 546/546 - 517/546
A = 29/546
1ere ligne :
59/78 + 29/546 + B = 3/2
B = 3/2 - 59/78 - 29/546
B = 819/546 - 413/546 - 29/546
B = 377/546
B = (13 x 29)/(42 x 13)
B = 29/42
dernier :
29/42 + 103/182 + D = 3/2
D = 3/2 - 29/42 - 103/182
D = 819/546 - 377/546 - 309/546
D = 133/546
D = (19 x 7)/(78 x 7)
D = 19/78
59/78 | 29/546 | 29/42
79/182 | 1/2 | 103/182
13/42 | 517/546 | 19/78
