Pi number

C.B.

If you’re trying to understand this derivation now, forget for a moment everything else you have been doing regarding 3.1446. Otherwise you’ll get confused.
When you’re through with it then you can correlate it to the geometry of the pyramid.

Jude Andre Charles

C.B. I think I see where I might've confused you with my results. You results are based on the fact that the square has four faces. Mines are based on 8 faces (as per the Pyramid of Giza). I'll try redoing it again without the 8 faces confusion.

Jude Andre Charles

Not in order but you get the gist of it (no phi or 3.144606 in that one)

Jude Andre Charles

Tried it with 3.14460551103, although I used a variation of the equation for the Circumference. The rest is more or less the same.

C.B.

Sorry Charles, but I can’t follow.

Jude Andre Charles

C.B. how so?

C.B.

Jude Andre Charles
I can’t understand what you’re doing

Jude Andre Charles

C.B. I see. So an explanation would be in order. When I finish work I will explain it all.

C.B.

Ok.

Jude Andre Charles

C.B. OK im back. You will have to point out where you got confused. I will try to explain as best as I can. As a disclaimer, I am not a mathematician. This is merely a hobby, however, an important one IMO.

C.B.

Basically, you’re not including the perimeter of the circle in your derivation. You’re trying to approach it and this is not enough to demonstrate π=3.1446. If you’re trying just another way to approximate it and the first objection you’ll meet is that you’re inserting this value arbitrarily, which is not completely untrue.

Write down your reasons but I will read it tomorrow. No time now.

Jude Andre Charles

C.B. will do. Talk to you tomorrow then.

Jude Andre Charles

I was wondering... When performing the circumference of the Circle, which Pi do you use?

C.B.

Jude Andre Charles

Performing which circumference?

Jude Andre Charles

C.B. of the circle. The perimeter belongs to all polygons. Only circles or spheres have circumferences. When performing the circumference, Pi is the constant of use.

If using 3.1415, then the circumference is not the same as that of 3.144606.

One could use 2 * 3.141593 * Radius and get a result totally different to that of 2 * 3.144606 * radius.

But because polygons have fixed values, there results will always be the same.

C.B.

Jude Andre Charles of the circle. The perimeter belongs to all polygons. Only circles or spheres have circumferences. When performing the circumference, Pi is the constant of use.

Yes, but to what circumference are you referring to?

Jude Andre Charles But because polygons have fixed values, there results will always be the same.

Circles have fixed values too but we were unable to measure their perimeter directly and only approximating.
The fixed value of the basic circle is 3.1446.

Jude Andre Charles

C.B. Yes, but to what circumference are you referring to?

I must admit that I'm seriously confused about your question. You would need to enlighten me:

Are there circumferences for polygons other than the circle?

I thought that all polygons (except the circle) have perimeters, and only circles and spheres have circumferences. Did that change?

C.B.

Jude Andre Charles

The word Perimeter is not exclusive for polygons. It just means the way around a central place. It is a Greek word.
Circumference means the same but its origin is Latin.

Jude Andre Charles

C.B. honestly, I would not know. I've had a hard time figuring out Pi out of angles due to trigonometry being "programmed" using the old value of Pi;

With the old value of PI, the angle shown for the true value of PI 3.144606 is 51.827292, but I suspect that it should be 51.777088, which 32 times Phi.

32 is merely the logical circumference of a circle if Pi squared multiplied by 2 Phi.

Then multiply the result by the Golden Ratio (Phi) which gives 51.777088, close to 51.827292.

I do not have all the answers. I'm still in learning and uncovering mode. If you know something I don't, please help me out.

C.B.

Now let’s go to the point if you’re still interested: How do you derive the π value using the angles of the Pyramid.?
Tell me only the rational, not the whole story with the diagrams. Just the concept.

C.B.

Jude Andre Charles I do not have all the answers. I'm still in learning and uncovering mode. If you know something I don't, please help me out.

Yeah, I’ll do.
The basic thing you have to understand is, that by giving a certain value for the angle…51.8…°, you’re inserting at the same time the value of the circumference you’re going to obtain. This is not a demonstration of the exact value of π but a demonstration that the Egyptians, or whoever made the Pyramids, did use that value.
If you want to find a method to demonstrate that 3.1446 is the absolute value of the circumference (always diameter 1, the basic circle) you have to find a method that is independent of a certain value and it’s valid for every value.
This is basically all you have to know to begin your search.

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