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 Franz Gnaedinger Posts: 330 Registered: 4/30/07
Posted: Dec 23, 2011 3:51 AM

RMP 39

100 loaves of bread are distributed among ten men. 50
loaves are given to 5 men. Each man obtains 12 '2 loaves.
The remaining 50 loaves are given to 6 men. Each man
receives 8 '3 loaves. Now Ahmes calculates the difference

12 '2 minus 8 '3 equals 4 '6

Let me continue as follows:

'2 x 25 minus '3 x 25 equals '6 x 25

'2 minus '3 equals '6

'2 equals '3 plus '6

This equation belongs to a stairway:

'2 = '2
'2 = '1x3 '6
'2 = '1x3 '3x5 '10
'2 = '1x3 '3x5 '5x7 '14
'2 = '1x3 '3x5 '5x7 '7x9 '18
'2 = '1x3 '3x5 '5x7 '7x9 '9x11 '22
...

'2 = '1x3 '3x5 '5x7 '7x9 '9x11 '11x13 '13x15 '15x17 ...

This series has an interesting subseries that can again
be rendered as a stairway:

'1x3 '5x7 '9x11 '13x15 '17x19 '21x23 ... = pi/8

'1x3 '16
'1x3 '5x7 '32
'1x3 '5x7 '9x11 '48
'1x3 '5x7 '9x11 '13x15 '64
'1x3 '5x7 '9x11 '13x15 '17x19 '80
...

Date Subject Author
11/17/11 Franz Gnaedinger
11/17/11 Milo Gardner
11/18/11 Franz Gnaedinger
11/18/11 Milo Gardner
11/19/11 Franz Gnaedinger
11/19/11 Milo Gardner
11/20/11 Franz Gnaedinger
11/20/11 Milo Gardner
11/20/11 Milo Gardner
11/21/11 Franz Gnaedinger
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