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Re: Ariadne's thread
Posted:
Mar 2, 2012 3:19 AM
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RMP 51, as always on the advanced level
Ahmes calculates the area of a triangle whose base
measures 4 khet and its height 10 khet, generating an
area of 20 square khet = 20 aroures = 200,000 square
cubits. This area can be transformed into a regular
octagon (see RMP 49):
grid 144+204+144 by 144+204+144 royal cubits
side 204 royal cubits, area 200,592 square cubits
The drawing of RMP 51 shows a triangle whose base
measures 4 khet, while its height is given as 13 khet.
In this case the area measures 260,000 square cubits,
while the regular octagon of roughly the same area has
the following measurements:
grid 164+232+164 by 164+232+164 royal cubits
side 232 royal cubits, area 259,808 square cubits
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