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You are quite right. They did not know pi. But they did know how to calculate the area of a circle by squaring 8/9 of its diameter squared.

Now apply this to the Great Pyramid. There is a popular belief that they used pi to make the slope. More correctly stated, this conception holds that the ratio of the height of the pyramid to its base perimeter is as the radius of a circle to its circumference. Notice that we have two different components of the circle implicated here - the radius and the circumference. This is vastly different from the two components given in RMP 50, namely the diameter and the area. And besides, the value of pi supposedly implied by the Great Pyramid shape is 22/7, quite different from the pi valued supposedly implied by RMP 50, which is (8/9)^2 x d^2.

Summing up:

The Egyptians did not know pi; the Egyptians did know how to square the circle; the shape of the Great Pyramid did not involve pi.

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Subject Views Written By Posted
Area and the Rhind Papyrus 994 gjb 09-Jan-19 05:13
Re: Area and the Rhind Papyrus 217 engbren 09-Jan-19 06:03
Re: Area and the Rhind Papyrus 204 gjb 09-Jan-19 06:10
Re: Area and the Rhind Papyrus 175 engbren 09-Jan-19 06:30
Re: Area and the Rhind Papyrus 209 DavidK 09-Jan-19 10:06
Re: Area and the Rhind Papyrus 181 gjb 09-Jan-19 13:32
Re: Area and the Rhind Papyrus 189 Sirfiroth 09-Jan-19 15:04
Re: Area and the Rhind Papyrus 166 DavidK 09-Jan-19 20:02
Re: Area and the Rhind Papyrus 162 Sirfiroth 09-Jan-19 21:06
Re: Area and the Rhind Papyrus 206 engbren 10-Jan-19 02:02
Re: Area and the Rhind Papyrus 180 Sirfiroth 10-Jan-19 04:15
Re: Area and the Rhind Papyrus 213 engbren 10-Jan-19 05:53
Re: Area and the Rhind Papyrus 185 engbren 15-Jan-19 04:50
Re: Area and the Rhind Papyrus 192 Lee McGiffen 10-Jan-19 10:56
Re: Area and the Rhind Papyrus 234 Scott Creighton 10-Jan-19 12:33
Re: Area and the Rhind Papyrus 228 Martin Stower 12-Jan-19 18:23
Re: Area and the Rhind Papyrus 147 Warwick 14-Jan-19 21:04
Re: Area and the Rhind Papyrus 191 DavidK 10-Jan-19 13:57
Re: Area and the Rhind Papyrus 227 Scott Creighton 10-Jan-19 14:16
Re: Area and the Rhind Papyrus 212 DavidK 10-Jan-19 17:10
Re: Area and the Rhind Papyrus 306 Sirfiroth 10-Jan-19 17:58
Re: Area and the Rhind Papyrus 196 engbren 16-Jan-19 10:24
Re: Area and the Rhind Papyrus 203 gjb 18-Jan-19 23:28
Re: Area and the Rhind Papyrus 215 DavidK 19-Jan-19 00:28
Re: Area and the Rhind Papyrus 215 engbren 06-Feb-19 12:56


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