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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 1138 gjb 09-Jan-19 05:13
Re: Area and the Rhind Papyrus 299 engbren 09-Jan-19 06:03
Re: Area and the Rhind Papyrus 282 gjb 09-Jan-19 06:10
Re: Area and the Rhind Papyrus 264 engbren 09-Jan-19 06:30
Re: Area and the Rhind Papyrus 291 DavidK 09-Jan-19 10:06
Re: Area and the Rhind Papyrus 279 gjb 09-Jan-19 13:32
Re: Area and the Rhind Papyrus 265 Sirfiroth 09-Jan-19 15:04
Re: Area and the Rhind Papyrus 245 DavidK 09-Jan-19 20:02
Re: Area and the Rhind Papyrus 239 Sirfiroth 09-Jan-19 21:06
Re: Area and the Rhind Papyrus 298 engbren 10-Jan-19 02:02
Re: Area and the Rhind Papyrus 255 Sirfiroth 10-Jan-19 04:15
Re: Area and the Rhind Papyrus 305 engbren 10-Jan-19 05:53
Re: Area and the Rhind Papyrus 264 engbren 15-Jan-19 04:50
Re: Area and the Rhind Papyrus 287 Lee McGiffen 10-Jan-19 10:56
Re: Area and the Rhind Papyrus 315 Scott Creighton 10-Jan-19 12:33
Re: Area and the Rhind Papyrus 308 Martin Stower 12-Jan-19 18:23
Re: Area and the Rhind Papyrus 215 Warwick 14-Jan-19 21:04
Re: Area and the Rhind Papyrus 273 DavidK 10-Jan-19 13:57
Re: Area and the Rhind Papyrus 325 Scott Creighton 10-Jan-19 14:16
Re: Area and the Rhind Papyrus 296 DavidK 10-Jan-19 17:10
Re: Area and the Rhind Papyrus 459 Sirfiroth 10-Jan-19 17:58
Re: Area and the Rhind Papyrus 278 engbren 16-Jan-19 10:24
Re: Area and the Rhind Papyrus 284 gjb 18-Jan-19 23:28
Re: Area and the Rhind Papyrus 298 DavidK 19-Jan-19 00:28
Re: Area and the Rhind Papyrus 306 engbren 06-Feb-19 12:56


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