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.

Les

--- michael michael <

michael3992002@...>

wrote:

> 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

> and

> the roman foot is the same: 0.308276458m :

> 0.2959454m

> = 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

> 504

> 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 -

> 4

> - 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;

> so

> 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

> 600

> feet.

> It might be observed that 96 of the stadia that

> comprise the degree in Eratosthenes calculation

> extend

> 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.

>

> Michael.