December 04, 2009 04:07PM
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Admin
Registered: 19 years ago
Posts: 22,417
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Anthony Wrote:
-------------------------------------------------------
> We are not dealing with a single length being
> measured to 3136 cubits, but rather the cumulative
> sum of four measurements. We know they can
> measure one side to a length of +/- 0.03%. That
> means that FOUR sides should cancel out that level
> of mistake, since it is a "+/_" figure, and not
> just a "+" figure.
>
> Ergo, the actual measurement for four sides should
> be compared to an accuracy of 0.0075% (one fourth
> of the margin of error of one side). The margin
> of error decreases with the accumulation of a
> larger data set. It does not remain as a static
> figure. The error is significantly larger than
> that margin allows, and the two are not
> comparable.
>
> To put it succinctly, if they could get the inside
> right to within one cubit on one side, why
> wouldn't the accumulated errors of the four sides
> be less than one cubit? Instead, we find the
> accumulated error is more like SIX cubits (about
> ten feet).
>
> That just doesn't make sense at all.
Well ... just to go over it again: Dave is arguing that the total of the four distances is 3,142 cubits (of 0.523m), rather than 3,136 of Lauer's 0.524m. cubits.
The actual length (according to Lauer) = 544.8m. Lauer, as we know, thought this was 1,040 cubits, which, employing a cubit of 0.524m (20.63”), would have given a result of 544.96m; so, if Lauer was right, the builders fell short of the ideal distance by some 6 1/4".
Dave is presumably arguing that this distance measures 1,041 of his 0.523m cubits, which would have measured 544.44m., i.e., 0.36m (14.17") longer than what it actually does measure.
The actual width = c. 276.85 m (again, according to Lauer). Lauer thought this length was 528 cubits, which, again employing a cubit of 0.524m, would have given a result of 276.67m.; so, if Lauer was right, the builders, instead of falling short like they did on the length, overran the width by just over 7".
Dave is presumably arguing that this distance measures 530 of his 0.523m cubits, or 277.19m., i.e., 0.34m (13.39") longer than the finished article. (But why would the builders have erred by just over a foot in
both instances, even though the length is nearly twice the distance ... ??)
Anyway, pressing on: Dave's calculation would then presumably read: 2 x (1,041 + 530) = 3,142. However, I couldn't actually find a calculation to this effect on pg. 19 of his book. Various other distances are quoted: Lauer's 1960 finding of 1,642; Verner's 2003 figure of 1,645, and Kemp's 2005 figure of 1,646. The arithmetical mean of all the modern perimeters (pg. 20) is given as 1,644.07 (which would be a total of 3,143.5 of the 0.523m. cubits). But, without knowing where Verner's and Kemp's figures came from, and how they worked them out, I'm not even sure if averaging them out like this is a valid procedure ... In the end, I was never really sure
where the 3,142 cubits came from, or how he calculated it. I can only suppose that I must have missed something, although I don't know what ...
Confusingly, he then adds that Lauer's interior north-south 1,000-cubit length "would, of course, be the the diameter of a circle that is equal in length to the perimeter wall". Well: yes, it
might be, if Lauer and Dave had been using the same length of cubit. But Lauer's were 0.524m, and Dave's were 0.523m, so how could it be valid to juxtapose 1,000 cubits of one length with 3,142 cubits of another length ... ?? Again, I could only assume that I must have missed or misunderstood something somewhere ...
Hermione
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Posted |
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GChase |
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