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Re: Ariadne's thread
Posted:
Dec 20, 2011 3:07 AM
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Mathematics may be regarded as the logic of building and
maintaining. It applies when we are building something,
be it a pyramid or a granary or a container in the shape
of a triangular pyramid, as in the case of problem number
35 in the Rhind Mathematical Papyrus.
RMP 35 - a triangular pyramid
Let a volume or capacity measure 96 ro = '100 of a cubic
cubit. 96 ro can be given as a triangular pyramid whose
base and height measure 13 and 9 fingers (mistake '131 ro).
1 1 3
2 4 6
1 2 3
3 5 9
8 14 24
4 7 12
11 19 33
30 52 90
15 26 45
15 26 45
41 71 123
112 194 336
56 97 168
If the side of an equilateral triangle measures 2 times 97
or 194 parts, its height measures practically 168 parts.
Check my above solution using these numbers. You will
find the equation
195 x 195 equals 194 x 196 plus 1
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