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Hi Jacob and all
This Rhind paper is ok. It shows how to find the area of a circle without using pi.
First of all the paper begins with a diameter 9. There is no reason to stick to 9 because the method 9/8 can be used with all diameters.
Take a circle with diameter 4 and I like this because the area of the circle no matter which value for pi is used it the circumference are the same NUMBER.
In the case of the Rhind method then 4 / 9 x 8 = 3.55555 and this is the side of a square with area equal to circle 12.64197531 square whatever feet metre etc.
12.64197532 metres feet etc in the circumference ok?
In this problem them with a diameter of 4 the area of circle with diameter 4 /9 x 8 = 3.55555 squared = 12.6419 square feet.
To find the circumference of the circle repeat the process ie 3.55555 /9 x 8 = 3.160493827 which is 1/4 or the side of a square perimeter = circumference of circle 12.6419.
In the process you have discovered the Egyptian value for pi 3.1604.
May not be written down but hands up anyone who dose not believe an Egyptian scholar saw this?????
I better copyright it although I have somewhere before Jim
.
This Rhind paper is ok. It shows how to find the area of a circle without using pi.
First of all the paper begins with a diameter 9. There is no reason to stick to 9 because the method 9/8 can be used with all diameters.
Take a circle with diameter 4 and I like this because the area of the circle no matter which value for pi is used it the circumference are the same NUMBER.
In the case of the Rhind method then 4 / 9 x 8 = 3.55555 and this is the side of a square with area equal to circle 12.64197531 square whatever feet metre etc.
12.64197532 metres feet etc in the circumference ok?
In this problem them with a diameter of 4 the area of circle with diameter 4 /9 x 8 = 3.55555 squared = 12.6419 square feet.
To find the circumference of the circle repeat the process ie 3.55555 /9 x 8 = 3.160493827 which is 1/4 or the side of a square perimeter = circumference of circle 12.6419.
In the process you have discovered the Egyptian value for pi 3.1604.
May not be written down but hands up anyone who dose not believe an Egyptian scholar saw this?????
I better copyright it although I have somewhere before Jim
.
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