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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 1086 Dr. Troglodyte 29-Apr-18 17:22
Re: Khafre’s Half-Meridian Section – A Study 161 Manu 29-Apr-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 118 DavidK 30-Apr-18 09:43
Re: Khafre’s Half-Meridian Section – A Study 89 molder 30-Apr-18 11:34
Re: Khafre’s Half-Meridian Section – A Study 105 DavidK 30-Apr-18 13:31
Re: Khafre’s Half-Meridian Section – A Study 79 molder 01-May-18 11:53
Re: Khafre’s Half-Meridian Section – A Study 119 Dr. Troglodyte 01-May-18 17:04
Re: Khafre’s Half-Meridian Section – A Study 125 Sirfiroth 01-May-18 19:14
Re: Khafre’s Half-Meridian Section – A Study 90 Dr. Troglodyte 01-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 111 Sirfiroth 01-May-18 19:55
Re: Khafre’s Half-Meridian Section – A Study 99 Dr. Troglodyte 01-May-18 20:40
Re: Khafre’s Half-Meridian Section – A Study 111 Sirfiroth 01-May-18 22:20
Re: Khafre’s Half-Meridian Section – A Study 111 Dr. Troglodyte 02-May-18 16:00
Re: Khafre’s Half-Meridian Section – A Study 90 Sirfiroth 02-May-18 16:34
Re: Khafre’s Half-Meridian Section – A Study 103 cloister 02-May-18 17:20
Re: Khafre’s Half-Meridian Section – A Study 115 Sirfiroth 02-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 66 cloister 02-May-18 21:14
Re: Khafre’s Half-Meridian Section – A Study 93 Sirfiroth 03-May-18 00:47
Re: Khafre’s Half-Meridian Section – A Study 79 DavidK 02-May-18 21:51
Re: Khafre’s Half-Meridian Section – A Study 100 Sirfiroth 02-May-18 23:42
Re: Khafre’s Half-Meridian Section – A Study 57 molder 03-May-18 12:02
Re: Khafre’s Half-Meridian Section – A Study 99 Sirfiroth 03-May-18 12:54
Re: Khafre’s Half-Meridian Section – A Study 92 Manu 03-May-18 01:26
Re: Khafre’s Half-Meridian Section – A Study 108 DavidK 01-May-18 14:29
Re: Khafre’s Half-Meridian Section – A Study 88 DavidK 02-May-18 07:55
Re: Khafre’s Half-Meridian Section – A Study 114 DavidK 03-May-18 06:08
Re: Khafre’s Half-Meridian Section – A Study 82 DavidK 03-May-18 15:17
Blue Square Study 111 Dr. Troglodyte 03-May-18 19:34
Re: Blue Square Study 86 molder 04-May-18 03:50
Re: Blue Square Study 118 Dr. Troglodyte 04-May-18 14:50
Re: Blue Square Study 103 molder 06-May-18 04:19
Re: Blue Square Study 93 Dr. Troglodyte 06-May-18 13:26
Re: Blue Square Study 58 molder 07-May-18 12:08
Re: Blue Square Study 77 Sirfiroth 07-May-18 17:41
Re: Blue Square Study 68 molder 07-May-18 20:30
Re: Blue Square Study 82 Dr. Troglodyte 07-May-18 19:12
Re: Blue Square Study 69 molder 07-May-18 22:36
Re: Blue Square Study 71 Manu 06-May-18 15:39
Re: Blue Square Study 66 DUNE 06-May-18 16:12
Re: Blue Square Study 81 Manu 06-May-18 16:24
Re: Blue Square Study 67 DUNE 06-May-18 17:38
Re: Blue Square Study 83 Manu 06-May-18 19:26
Re: Blue Square Study 92 Sirfiroth 06-May-18 22:37
Re: Blue Square Study 92 Manu 07-May-18 01:21
Re: Blue Square Study 77 DUNE 07-May-18 07:46
Re: Blue Square Study 78 Sirfiroth 07-May-18 14:39
Re: Blue Square Study 90 Manu 12-May-18 18:48
Re: Blue Square Study 94 Sirfiroth 14-May-18 00:49
Re: Blue Square Study 80 Manu 14-May-18 03:32
Re: Blue Square Study 92 Sirfiroth 15-May-18 18:22
Re: Blue Square Study 43 Manu 15-May-18 19:02
Superscripts [?] 63 Dr. Troglodyte 15-May-18 19:21
Re: Superscripts [?] 41 Manu 15-May-18 19:47
Re: Superscripts [?] 71 Dr. Troglodyte 15-May-18 20:32
Re: Superscripts [?] 74 Manu 15-May-18 20:45
Re: Blue Square Study 79 Manu 14-May-18 15:03
Curious geometry 94 cloister 06-May-18 10:18
Mod Note > Images 94 Dr. Troglodyte 06-May-18 14:12
Re: Khafre’s Half-Meridian Section – A Study 109 DavidK 05-May-18 11:09
Re: Khafre’s Half-Meridian Section – A Study 103 DavidK 08-May-18 08:47
Re: Khafre’s Half-Meridian Section – A Study 99 Sirfiroth 08-May-18 18:37
Re: Khafre’s Half-Meridian Section – A Study 87 DavidK 08-May-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 83 DavidK 09-May-18 10:46
Re: Khafre’s Half-Meridian Section – A Study 115 DavidK 09-May-18 11:12
Re: Khafre’s Half-Meridian Section – A Study 126 DavidK 17-May-18 05:26
Re: Khafre’s Half-Meridian Section – A Study 77 DavidK 16-May-18 13:32


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