The Conway Circle Theorem

[KingJamesMath]

From a worldly view, some might label me crazy since I am one of those who believe All Scripture is breathed out by God
and profitable for teaching, for reproof, for correction, and for training in righteousness (2 Tim 3:16).


Every jot and tittle even the smallest most minute details is a pointer to the Lord Jesus Christ.

G2424 888 and H0391 397.png (20.74 KiB) Viewed 12416 times

Jehovah is Salvation English Standard Gematria 1452

H3091.png (10.79 KiB) Viewed 12416 times

G2424 Jehovah is Salvation.png (19.28 KiB) Viewed 12416 times

Jesus G2424
Joshua H3091


2424 + 3091 + 1452 = 6,967 = 6 + 967 = 973

righteouness.png (27.33 KiB) Viewed 12416 times

G1343 righteousness δικαιοσυνηι 783

783.png (4.31 KiB) Viewed 12407 times

Praise the Lord!

[bluetriangle]

To use standard mathematical terms, the "outer circle" is called the circumcircle. It's center is called the circumcenter. Here's a wiki article that defines them.

Thanks, I wasn't aware of the terminology.

The circumcenter and the incenter coincide ONLY in an equilateral triangle.

Likewise, the integer ratios 28 and 7 are found ONLY if the triangle generating the Conway Circle is equilateral.

Yes, I'd intuited all that. Using 2 as the side length of the triangle also simplifies the maths, giving tan30 as the radius of the incircle and the whole number 3 for the semi perimeter, so it seemed logical to start with that - and this is what yields 2701.

If you make 1 the side length the incircle has a radius of tan30/2, giving the same ratios, of course, but 168.8 for the larger circle, which is 2701/16, in which case I might have I might have missed the link to the numeric value of G1.1.

I can see you're still leery of that, but the error is almost four times smaller than Jenkins/Bluer's estimate of pi. We also have the three numbers defining the G1.1 architecture all linked to one number, 29.32153. Algebraically, this can be expressed very simply:

29.32153. . . = ((tan30)^2 + 3^2)pi,

or as

(28/3)pi

which means that 2701 is almost exactly (28/3)^2 x pi^3

[bluetriangle]

I've found the sum of the central three words in Genesis 1.1 in a construction based on the special case of Conway circle, which has now generated four fundamental numbers from the Hebrew Bible's opening verse.

Here is a summary of what I've found so far. Note the beautiful expressions it generates. These are the simplest possible, I believe, and they depend upon two preconditions.

1. We begin with an equilateral triangle.
2. The triangle has a base of 2 units.

Note, for those unfamiliar with the notation. X^1/2 is the square root of X.

The first drawing is of the Conway Circle, with an ascending series of two triangles and three incircles/circumcircles. This creates all the Genesis numbers.

Conway Circle.png (102.98 KiB) Viewed 11488 times

The second drawing is of what I call the Genesis circle, generated from the area of the Conway circle, showing a smaller circle that was generated from the area of the largest circumcircle. The Conway circle is also shown to scale.

Genesis circle 2.png (66.46 KiB) Viewed 11486 times

Note that 2700.991 deviates from the whole number 2701 by only 1 part in 307,000, and 881.956 deviates from 882 by only 1 part in 20,100.

[RAMcGough]

Hey Bill,

That's some intriguing geometry! It's very satisfying to meditate upon it. I've never really liked taking approximations of geometric relations because they often seemed arbitrary. But in this case, we have a perfectly symmetric geometric figure and we're simply measuring its dimensions. I don't have a sense of anything being "arbitrary" or "cherry picked".

Thanks for sharing this! I look forward more.

Richard

[bluetriangle]

For anyone interested, I've uploaded a paper to Academi.edu on the correspondences I've found between the numerical architecture of Genesis 1.1 and The Conway Circle Theorem.

https://www.academia.edu/165388926/Gene ... way_Circle

It's a sparkling little gem of a theorem and fully worthy of adorning the opening verse of Scripture.