Re: [Pythagorean-L] Pythagoras and Vitruvius
- Hi Michael
Let's get back to the 3:4:5 triangle. It has 3
angles. Put the right angle aside and examine the
other two. Subtract the smaller from the greater.
The remainder leads to another Pythagorean triple.
Let me know what you find.
--- michael michael <michael3992002@...>
> Yes, Les.
> The ratio (doubled) is that between 525,000 and
> 504,000; and is the ratio between the egyptian royal
> cubit and the english rod.
> The stadion of 625 roman feet measures equally the
> greek stadion of 600 artabic or greek feet.
> As you say, the ratio of the greek (artabic) foot
> the roman foot is the same: 0.308276458m :
> = 1.041666...
> The ratio, as a fraction, is 100 : 96 or 25 : 24,
> which is how many ancient measures are related.
> I accept that the ancient measures are indeed all
> related; and they stand together in simple numerical
> relationships. But...?
> The ratio relates equally to the measures 525 and
> through the numeric of "the name of god" or 21.
> The triple with pythagorean significance? are you
> suggesting the relationship 21 - 24 - 25 as the 3 -
> - 5 triangle in multiples of 7 - 6 - 5 ?
> But... I am on my way to where?
> 2. On the Winchester foot; I accept your
> reservations, without, however, agreeing with them;
> I will not push the point. I will simply emphasize
> that when discussing the 504 or 252 x 2 numbers, one
> is tying the discourse to the Winchester foot and to
> the anglo-saxon gyrd of 16.5 such feet. Also, the
> Winchester foot is necessary for the elucidation of
> ancient egyptian issues (such as the number of the
> 'souls of the dead'; issues which, in fact, underlie
> Eratosthenes calculation of Earth dimensions.
> 3. When Strabo notes that Eratosthenes, with
> Hipparchus, calculated Earth dimensions as 252,000
> stadia, he is noting that the calculation is made by
> degrees where each degree of Earth's round measures
> 700 stadia.
> The interesting thing is that 252,000 times 700 such
> stadia are exactly equivalent to 252,000 stadia of
> It might be observed that 96 of the stadia that
> comprise the degree in Eratosthenes calculation
> 100 Winchester feet; illustrating the
> 96 : 100 or 24 : 25 ratio yet again.
> Moreover, the ratio of the egyptian royal cubit and
> that stadion is 1.65.
> 4. I would like to know more about the trick.