The Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.


Math Forum » Discussions » Inactive » math-history-list

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Franz Gnaedinger

Posts: 330
Registered: 4/30/07
Re: RMP # 48
Posted: Oct 8, 2007 1:20 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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
advanced pupils. RMP 33 on the advanced level can be formulated
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
Read RMP # 48
L. Cooper
10/1/07
Read Re: RMP # 48
Franz Gnaedinger
10/1/07
Read Re: RMP # 48
L. Cooper
10/1/07
Read Re: RMP # 48
Milo Gardner
10/1/07
Read Re: RMP # 48
L. Cooper
10/2/07
Read Re: RMP # 48
Milo Gardner
10/3/07
Read Re: RMP # 48
Milo Gardner
10/3/07
Read Re: RMP # 48
L. Cooper
10/3/07
Read Re: RMP # 48
Franz Gnaedinger
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
Milo Gardner
10/4/07
Read Re: RMP # 48
L. Cooper
10/5/07
Read Re: RMP # 48
L. Cooper
10/5/07
Read Re: RMP # 48
Milo Gardner
10/6/07
Read Re: RMP # 48
L. Cooper
10/6/07
Read Re: RMP # 48
Franz Gnaedinger
10/6/07
Read Re: RMP # 48
Milo Gardner
10/6/07
Read Re: RMP # 48
L. Cooper
10/6/07
Read Re: RMP # 48
Franz Gnaedinger
10/6/07
Read Re: RMP # 48
Milo Gardner
10/7/07
Read Re: RMP # 48
Franz Gnaedinger
10/7/07
Read Re: RMP # 48
Milo Gardner
10/7/07
Read Re: RMP # 48
Franz Gnaedinger
10/7/07
Read Re: RMP # 48
Milo Gardner
10/8/07
Read Re: RMP # 48
Franz Gnaedinger
10/8/07
Read Re: RMP # 48
Milo Gardner
10/8/07
Read Re: RMP # 48
Franz Gnaedinger
10/8/07
Read Re: RMP # 48
Milo Gardner
10/9/07
Read Re: RMP # 48
Franz Gnaedinger
10/9/07
Read Re: RMP # 48
L. Cooper
10/10/07
Read Re: RMP # 48
Franz Gnaedinger
10/11/07
Read Re: RMP # 48
Franz Gnaedinger
10/11/07
Read Re: RMP # 48
L. Cooper
10/12/07
Read Re: RMP # 48
Franz Gnaedinger
10/12/07
Read Re: RMP # 48
Franz Gnaedinger
10/12/07
Read Re: RMP # 48
L. Cooper
10/13/07
Read Re: RMP # 48
Franz Gnaedinger
10/13/07
Read Re: RMP # 48
L. Cooper
10/13/07
Read Re: RMP # 48
Franz Gnaedinger
10/15/07
Read Re: RMP # 48
Franz Gnaedinger
10/18/07
Read Discussion of error/mistake in Greek texts
Ed Wall
10/19/07
Read Re: Discussion of error/mistake in Greek texts
Franz Gnaedinger
10/20/07
Read Re: Discussion of error/mistake in Greek texts
Milo Gardner
12/5/07
Read Re: Discussion of error/mistake in Greek texts
Milo Gardner
12/14/07
Read Re: Discussion of error/mistake in Greek texts
Franz Gnaedinger
12/14/07
Read Re: Discussion of error/mistake in Greek texts
Milo Gardner
12/14/07
Read Schools of Egyptology, and why they are not leaders in scribal math studies
Milo Gardner
10/11/07
Read Re: RMP # 48
Milo Gardner
10/12/07
Read Re: RMP # 48
L. Cooper
10/12/07
Read Re: RMP # 48
Milo Gardner
10/13/07
Read Re: RMP # 48
L. Cooper
7/11/10
Read Re: RMP # 48
Dioxippus
7/12/10
Read Re: RMP # 48
Milo Gardner
7/20/10
Read Re: RMP # 48
Dioxippus
7/21/10
Read Re: RMP # 48
Milo Gardner
7/21/10
Read Re: RMP # 48
Dioxippus
7/21/10
Read Re: RMP # 48
Milo Gardner
7/23/10
Read Re: RMP # 48
Dioxippus
7/23/10
Read Re: RMP # 48
Milo Gardner
10/6/07
Read Re: RMP # 48
Hossam Aboulfotouh
10/8/07
Read Re: RMP # 48
Milo Gardner
10/11/07
Read Re: RMP # 48
Hossam Aboulfotouh
10/12/07
Read Re: RMP # 48
Milo Gardner
10/13/07
Read Re: RMP # 48
Hossam Aboulfotouh
10/13/07
Read Re: RMP # 48
Hossam Aboulfotouh
10/19/07
Read Re: RMP # 48
Hossam Aboulfotouh
10/27/07
Read Re: RMP # 48
Matt Hugh

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2017. All Rights Reserved.