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Topic: RMP # 48
Replies: 70   Last Post: Jul 23, 2010 8:57 AM

 Messages: [ Previous | Next ]
 Franz Gnaedinger Posts: 330 Registered: 4/30/07
Re: RMP # 48
Posted: Oct 8, 2007 1:20 AM

Milo, the Rhind Mathematical Papyrus announces all secrets, and then
offers nothing more than rather dry calculations. This can't be all
there is about Egyptian mathematics. I claim that we see only the level
for beginners, but the same problems can be solved on the level of
like this (my proposition): A cube measures 37 by 37 by 37 fingers.
Calculate the diagonal of the volume in palms, and then the volume
itself in cube cubits. First you have to draw up the number column
for the square root of 3, or consult it as written on a wall of the
scribe's office. Choose the line 56 97 168. Multiply 37 fingers
by 168 and divide the result by 97 and you get the diagonal in
fingers. Divide it again by 4 and you get the diagonal in palms.
Abbreviate the calculations by dividing 37 fingers by a factor of
97/42 = 1 "3 '2 '7 and you get the diagonal in palms (numbers
given in the RMP). Now calculate the volume in cube cubits.
If you carry out the rather demanding calculation involving high
numbers, and if you proceed correctly, you are rewarded with a
fine surprise: the volume measures practically 1 "3 '2 '7 cube cubits.

I claim that we see only a part of Egyptian mathematics and
have to restore the rest, namely wooden objects visualizing
a problem (in the case of RMP 33 perhaps a chest whose
outer measures are 41 by 41 by 41 fingers, and whose inner
measures are 37 by 37 by 37 fingers) on whose surfaces
the problems were written, and the apparatus of simple yet
clever additive algorithms such as number columns and
number sequences. We have to combine math history with
math archaeology and experimental math history, as too
many sources (papyri, leather rolls, and the teaching materials)
are lost.

Regards, Franz Gnaedinger

Date Subject Author
9/30/07 L. Cooper
10/1/07 Franz Gnaedinger
10/1/07 L. Cooper
10/1/07 Milo Gardner
10/1/07 L. Cooper
10/2/07 Milo Gardner
10/3/07 Milo Gardner
10/3/07 L. Cooper
10/3/07 Franz Gnaedinger
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 Milo Gardner
10/4/07 L. Cooper
10/5/07 L. Cooper
10/5/07 Milo Gardner
10/6/07 L. Cooper
10/6/07 Franz Gnaedinger
10/6/07 Milo Gardner
10/6/07 L. Cooper
10/6/07 Franz Gnaedinger
10/6/07 Milo Gardner
10/7/07 Franz Gnaedinger
10/7/07 Milo Gardner
10/7/07 Franz Gnaedinger
10/7/07 Milo Gardner
10/8/07 Franz Gnaedinger
10/8/07 Milo Gardner
10/8/07 Franz Gnaedinger
10/8/07 Milo Gardner
10/9/07 Franz Gnaedinger
10/9/07 L. Cooper
10/10/07 Franz Gnaedinger
10/11/07 Franz Gnaedinger
10/11/07 L. Cooper
10/12/07 Franz Gnaedinger
10/12/07 Franz Gnaedinger
10/12/07 L. Cooper
10/13/07 Franz Gnaedinger
10/13/07 L. Cooper
10/13/07 Franz Gnaedinger
10/15/07 Franz Gnaedinger
10/18/07 Ed Wall
10/19/07 Franz Gnaedinger
10/20/07 Milo Gardner
12/5/07 Milo Gardner
12/14/07 Franz Gnaedinger
12/14/07 Milo Gardner
12/14/07 Milo Gardner
10/11/07 Milo Gardner
10/12/07 L. Cooper
10/12/07 Milo Gardner
10/13/07 L. Cooper
7/11/10 Dioxippus
7/12/10 Milo Gardner
7/20/10 Dioxippus
7/21/10 Milo Gardner
7/21/10 Dioxippus
7/21/10 Milo Gardner
7/23/10 Dioxippus
7/23/10 Milo Gardner
10/6/07 Hossam Aboulfotouh
10/8/07 Milo Gardner
10/11/07 Hossam Aboulfotouh
10/12/07 Milo Gardner
10/13/07 Hossam Aboulfotouh
10/13/07 Hossam Aboulfotouh
10/19/07 Hossam Aboulfotouh
10/27/07 Matt Hugh