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It has been proposed that Khafre’s [assumed] 3-4-5 half-meridian section contains a constructible circle of radius one, tangent to all sides of the Triangle. Associated with this proposition is the copyrighted image below:





This illustrated approach is interesting in that it employs a ‘graphic solution’ for a conceptual problem that may well have been the ancients’ method to represent a theoretical design objective [Khafre’s Half-Meridian Section]. Similar techniques were likely utilized in developing Khufu’s conjectured design process for the Great Pyramid.

The above Khafre image, while satisfying the ‘graphic solution’, does not stand up to the rigors of the requisite mathematics, nor the application of amplified scale. However, if applied, these conditions would have been unnecessary to satisfy the designer’s esoteric directive of Ma’at.

Below, two comparative sketches study options for attempting to place a circle, with radius ’unity’, within the confines of the 3-4-5 Meridian Section. The first replicates the attempt to place the circle Tangent at the intersection of the Square’s Diagonal [Detail “B”] and leg 5. This ’non-unity circle’ exceeds the confine of the Triangle at each leg [Detail “A”]:





The second sketch applies a ’true-unity circle’ tangent to all 3-4-5 legs of the Meridian Section Triangle; however, it no longer satisfies tangency with the Square’s Diagonal [Detail “C”]:




Click on Study Images for Enlargements

If a ‘graphic solution’ approach, or conceived application involving the ’unity circle’, existed in the mind of Khafre’s designer, we will likely never know. If so, then the ’sine qua non’ objective would have been met.

Regardless, graphic studies of this nature, if perceived in the pyramid designer’s minds, likely contributed to the discovery and understanding of Irrational and Transcendental factors (numbers) in our time.



Dr. Troglodyte


“Quis custodiet ipsos custodes?“ - Decimus Junius Juvenalis


“Numero, Pondere et Mensura“


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Subject Views Written By Posted
Khafre’s Half-Meridian Section – A Study 1017 Dr. Troglodyte 29-Apr-18 17:22
Re: Khafre’s Half-Meridian Section – A Study 138 Manu 29-Apr-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 99 DavidK 30-Apr-18 09:43
Re: Khafre’s Half-Meridian Section – A Study 75 molder 30-Apr-18 11:34
Re: Khafre’s Half-Meridian Section – A Study 87 DavidK 30-Apr-18 13:31
Re: Khafre’s Half-Meridian Section – A Study 65 molder 01-May-18 11:53
Re: Khafre’s Half-Meridian Section – A Study 99 Dr. Troglodyte 01-May-18 17:04
Re: Khafre’s Half-Meridian Section – A Study 107 Sirfiroth 01-May-18 19:14
Re: Khafre’s Half-Meridian Section – A Study 74 Dr. Troglodyte 01-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 86 Sirfiroth 01-May-18 19:55
Re: Khafre’s Half-Meridian Section – A Study 80 Dr. Troglodyte 01-May-18 20:40
Re: Khafre’s Half-Meridian Section – A Study 93 Sirfiroth 01-May-18 22:20
Re: Khafre’s Half-Meridian Section – A Study 86 Dr. Troglodyte 02-May-18 16:00
Re: Khafre’s Half-Meridian Section – A Study 70 Sirfiroth 02-May-18 16:34
Re: Khafre’s Half-Meridian Section – A Study 82 cloister 02-May-18 17:20
Re: Khafre’s Half-Meridian Section – A Study 92 Sirfiroth 02-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 53 cloister 02-May-18 21:14
Re: Khafre’s Half-Meridian Section – A Study 71 Sirfiroth 03-May-18 00:47
Re: Khafre’s Half-Meridian Section – A Study 64 DavidK 02-May-18 21:51
Re: Khafre’s Half-Meridian Section – A Study 80 Sirfiroth 02-May-18 23:42
Re: Khafre’s Half-Meridian Section – A Study 51 molder 03-May-18 12:02
Re: Khafre’s Half-Meridian Section – A Study 86 Sirfiroth 03-May-18 12:54
Re: Khafre’s Half-Meridian Section – A Study 76 Manu 03-May-18 01:26
Re: Khafre’s Half-Meridian Section – A Study 86 DavidK 01-May-18 14:29
Re: Khafre’s Half-Meridian Section – A Study 75 DavidK 02-May-18 07:55
Re: Khafre’s Half-Meridian Section – A Study 94 DavidK 03-May-18 06:08
Re: Khafre’s Half-Meridian Section – A Study 68 DavidK 03-May-18 15:17
Blue Square Study 90 Dr. Troglodyte 03-May-18 19:34
Re: Blue Square Study 71 molder 04-May-18 03:50
Re: Blue Square Study 96 Dr. Troglodyte 04-May-18 14:50
Re: Blue Square Study 84 molder 06-May-18 04:19
Re: Blue Square Study 82 Dr. Troglodyte 06-May-18 13:26
Re: Blue Square Study 47 molder 07-May-18 12:08
Re: Blue Square Study 63 Sirfiroth 07-May-18 17:41
Re: Blue Square Study 51 molder 07-May-18 20:30
Re: Blue Square Study 67 Dr. Troglodyte 07-May-18 19:12
Re: Blue Square Study 52 molder 07-May-18 22:36
Re: Blue Square Study 62 Manu 06-May-18 15:39
Re: Blue Square Study 51 DUNE 06-May-18 16:12
Re: Blue Square Study 64 Manu 06-May-18 16:24
Re: Blue Square Study 55 DUNE 06-May-18 17:38
Re: Blue Square Study 69 Manu 06-May-18 19:26
Re: Blue Square Study 76 Sirfiroth 06-May-18 22:37
Re: Blue Square Study 74 Manu 07-May-18 01:21
Re: Blue Square Study 65 DUNE 07-May-18 07:46
Re: Blue Square Study 63 Sirfiroth 07-May-18 14:39
Re: Blue Square Study 74 Manu 12-May-18 18:48
Re: Blue Square Study 74 Sirfiroth 14-May-18 00:49
Re: Blue Square Study 70 Manu 14-May-18 03:32
Re: Blue Square Study 73 Sirfiroth 15-May-18 18:22
Re: Blue Square Study 35 Manu 15-May-18 19:02
Superscripts [?] 48 Dr. Troglodyte 15-May-18 19:21
Re: Superscripts [?] 34 Manu 15-May-18 19:47
Re: Superscripts [?] 56 Dr. Troglodyte 15-May-18 20:32
Re: Superscripts [?] 56 Manu 15-May-18 20:45
Re: Blue Square Study 67 Manu 14-May-18 15:03
Curious geometry 75 cloister 06-May-18 10:18
Mod Note > Images 75 Dr. Troglodyte 06-May-18 14:12
Re: Khafre’s Half-Meridian Section – A Study 90 DavidK 05-May-18 11:09
Re: Khafre’s Half-Meridian Section – A Study 88 DavidK 08-May-18 08:47
Re: Khafre’s Half-Meridian Section – A Study 83 Sirfiroth 08-May-18 18:37
Re: Khafre’s Half-Meridian Section – A Study 74 DavidK 08-May-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 67 DavidK 09-May-18 10:46
Re: Khafre’s Half-Meridian Section – A Study 98 DavidK 09-May-18 11:12
Re: Khafre’s Half-Meridian Section – A Study 102 DavidK 17-May-18 05:26
Re: Khafre’s Half-Meridian Section – A Study 61 DavidK 16-May-18 13:32


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