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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: Jan 6, 2012 4:08 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

(sorry, Petyr Velev, cha di nöd verschdah)

RMP 42

The inner diameter of another cylindrical granary measures
10 royal cubits and the inner height again 10 royal cubits.
Using the same formula (diameter 9, side 8), Ahmes
obtains
a capacity of 790 '18 '27 '54 or 790 '9 cube cubits
instead of 790 '9 '81 cube cubits. Using the value '7 of 22
for pi we would obtain 785 '2 '7 '14 cubic cubits. Using
the still better value '120 of 377 we obtain 785 '3 '12 cube
cubits.

diameter 1 2 4 5 10 20 25 50 100
height 100 50 25 20 10 5 4 2 1

The walls of these cylinders have the same area, while
the volume increases from about 78 '2 to about 7854 cube
cubits. Let us consider the following pair of examples:

diameter 2, height 50, volume 157, pi '50 of 157
diameter 50, height 2, volume 3927, pi '1250 of 3927

The second value for pi is generated by a number sequence:

33/11 (plus 66/21) 99/32 165/53 ... 3795/1208 3861/1229
3927/1250

The same value can be found by means of two multiplication
processes:

1250 x 3 '9 '33 equals 3750 139 38 or 3927 (rounded)
1250 x 3 '10 '24 equals 3750 125 52 or 3927 (rounded)


Date Subject Author
11/17/11
Read Ariadne's thread
Franz Gnaedinger
11/17/11
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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
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Milo Gardner
11/20/11
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Franz Gnaedinger
11/20/11
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Milo Gardner
11/20/11
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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
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Franz Gnaedinger
11/24/11
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Franz Gnaedinger
11/24/11
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Franz Gnaedinger
11/24/11
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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
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Milo Gardner
12/3/11
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Franz Gnaedinger
12/4/11
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Franz Gnaedinger
12/4/11
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Milo Gardner
12/5/11
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Franz Gnaedinger
12/5/11
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Milo Gardner
12/7/11
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12/8/11
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12/10/11
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12/12/11
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12/12/11
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12/13/11
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12/13/11
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12/15/11
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12/15/11
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12/15/11
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Milo Gardner
12/16/11
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Franz Gnaedinger
12/16/11
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Milo Gardner
12/18/11
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Franz Gnaedinger
12/18/11
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Milo Gardner
12/19/11
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Franz Gnaedinger
12/20/11
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Franz Gnaedinger
12/20/11
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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
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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
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Franz Gnaedinger
1/19/12
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Franz Gnaedinger
1/19/12
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Milo Gardner
1/27/12
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2/10/12
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Franz Gnaedinger
2/28/12
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Franz Gnaedinger
3/2/12
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3/23/12
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3/24/12
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Milo Gardner
4/9/12
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4/10/12
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4/13/12
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4/17/12
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4/18/12
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4/18/12
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Franz Gnaedinger
5/5/12
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Franz Gnaedinger
5/7/12
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Franz Gnaedinger
5/7/12
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Milo Gardner
5/8/12
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Franz Gnaedinger
5/8/12
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Milo Gardner
5/8/12
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Franz Gnaedinger
5/8/12
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Franz Gnaedinger
5/9/12
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5/10/12
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8/14/12
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1/13/13
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1/19/13
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1/23/13
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1/23/13
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1/24/13
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1/26/13
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1/28/13
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Franz Gnaedinger

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