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Topic: Ariadne's thread
Replies: 86   Last Post: Jan 28, 2013 5:19 AM

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Franz Gnaedinger

Posts: 330
Registered: 4/30/07
Re: Ariadne's thread
Posted: Dec 16, 2011 3:02 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

The arithmetical operations in the Rhind Mathematical
Papyrus are crystal clear. They form the apparent level.
They are what a beginner had to learn. If he could perform
them in his sleep (as we say in Switzerland) he was told
about the higher levels of a problem. Here is another
'silly' interpretation of mine, RMP 32 on the advanced
level, offering another piece of numerical wit, and one
more theorem:

RMP 32 - a magic parallelepiped

Ahmes divides 2 by 1 '3 '4 and obtains 1 '6 '12 '114 '228.

Imagine a right parallelepiped of these measurements:

height 2 units
length 1 '3 '4 units
width 1 '6 '12 '114 '228 units

How long is the cubic diagonal?

Simply

1 '3 '4 units plus 1 '6 '12 '114 '228 units

or

1 1 plus '3 '6 plus '4 '12 plus '114 '228 units

or

2 '2 '3 '76 units

Divide 2 by any number A and you obtain B (2:A = B). Use
these numbers as measurements for a right parallelepiped.
It will be a 'magic parallelepiped' with the following
properties:

height 2 units
width or length A units
length or width B units
area base or top AB = 2 square units
volume 2AB = 4 cubic units
cubic diagonal A plus B units


Date Subject Author
11/17/11
Read Ariadne's thread
Franz Gnaedinger
11/17/11
Read Re: Ariadne's thread
Milo Gardner
11/18/11
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Franz Gnaedinger
11/18/11
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Milo Gardner
11/19/11
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Franz Gnaedinger
11/19/11
Read Re: Ariadne's thread
Milo Gardner
11/20/11
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Franz Gnaedinger
11/20/11
Read Re: Ariadne's thread
Milo Gardner
11/20/11
Read Re: Ariadne's thread
Milo Gardner
11/21/11
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Franz Gnaedinger
11/22/11
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Franz Gnaedinger
11/22/11
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Milo Gardner
11/23/11
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Franz Gnaedinger
11/24/11
Read Re: Ariadne's thread
Franz Gnaedinger
11/24/11
Read Re: Ariadne's thread
Franz Gnaedinger
11/24/11
Read Re: Ariadne's thread
Franz Gnaedinger
11/24/11
Read Re: Ariadne's thread
Milo Gardner
11/25/11
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Franz Gnaedinger
11/26/11
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Franz Gnaedinger
12/2/11
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Franz Gnaedinger
12/2/11
Read Re: Ariadne's thread
Milo Gardner
12/3/11
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Franz Gnaedinger
12/4/11
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Franz Gnaedinger
12/4/11
Read Re: Ariadne's thread
Milo Gardner
12/5/11
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Franz Gnaedinger
12/5/11
Read Re: Ariadne's thread
Milo Gardner
12/7/11
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Franz Gnaedinger
12/8/11
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Milo Gardner
12/10/11
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Franz Gnaedinger
12/12/11
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Franz Gnaedinger
12/12/11
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Milo Gardner
12/13/11
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Franz Gnaedinger
12/13/11
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Milo Gardner
12/15/11
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Franz Gnaedinger
12/15/11
Read Re: Ariadne's thread
Milo Gardner
12/15/11
Read Re: Ariadne's thread
Milo Gardner
12/16/11
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Franz Gnaedinger
12/16/11
Read Re: Ariadne's thread
Milo Gardner
12/18/11
Read Re: Ariadne's thread
Franz Gnaedinger
12/18/11
Read Re: Ariadne's thread
Milo Gardner
12/19/11
Read Re: Ariadne's thread
Franz Gnaedinger
12/20/11
Read Re: Ariadne's thread
Franz Gnaedinger
12/20/11
Read Re: Ariadne's thread
Milo Gardner
12/21/11
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Franz Gnaedinger
12/22/11
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Franz Gnaedinger
12/23/11
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Franz Gnaedinger
12/24/11
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Franz Gnaedinger
12/29/11
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Franz Gnaedinger
1/2/12
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Franz Gnaedinger
1/3/12
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Milo Gardner
1/4/12
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Franz Gnaedinger
11/28/11
Read Re: Ariadne's thread
Velev, Petyr
1/6/12
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Franz Gnaedinger
1/6/12
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Milo Gardner
1/9/12
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Franz Gnaedinger
1/17/12
Read Re: Ariadne's thread
Franz Gnaedinger
1/19/12
Read Re: Ariadne's thread
Franz Gnaedinger
1/19/12
Read Re: Ariadne's thread
Milo Gardner
1/27/12
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Franz Gnaedinger
2/10/12
Read Re: Ariadne's thread
Franz Gnaedinger
2/28/12
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Franz Gnaedinger
3/2/12
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Franz Gnaedinger
3/23/12
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Franz Gnaedinger
3/24/12
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Milo Gardner
4/9/12
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Franz Gnaedinger
4/10/12
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Franz Gnaedinger
4/13/12
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Franz Gnaedinger
4/17/12
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Franz Gnaedinger
4/18/12
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Franz Gnaedinger
4/18/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/5/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/7/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/7/12
Read Re: Ariadne's thread
Milo Gardner
5/8/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/8/12
Read Re: Ariadne's thread
Milo Gardner
5/8/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/8/12
Read Re: Ariadne's thread
Franz Gnaedinger
5/9/12
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Franz Gnaedinger
5/10/12
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Franz Gnaedinger
8/14/12
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Franz Gnaedinger
1/13/13
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Franz Gnaedinger
1/19/13
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Franz Gnaedinger
1/23/13
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Franz Gnaedinger
1/23/13
Read Re: Ariadne's thread
Franz Gnaedinger
1/24/13
Read Re: Ariadne's thread
Franz Gnaedinger
1/26/13
Read Re: Ariadne's thread
Franz Gnaedinger
1/28/13
Read Re: Ariadne's thread
Franz Gnaedinger

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