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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 1218 Dr. Troglodyte 29-Apr-18 17:22
Re: Khafre’s Half-Meridian Section – A Study 188 Manu 29-Apr-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 137 DavidK 30-Apr-18 09:43
Re: Khafre’s Half-Meridian Section – A Study 110 molder 30-Apr-18 11:34
Re: Khafre’s Half-Meridian Section – A Study 128 DavidK 30-Apr-18 13:31
Re: Khafre’s Half-Meridian Section – A Study 103 molder 01-May-18 11:53
Re: Khafre’s Half-Meridian Section – A Study 144 Dr. Troglodyte 01-May-18 17:04
Re: Khafre’s Half-Meridian Section – A Study 139 Sirfiroth 01-May-18 19:14
Re: Khafre’s Half-Meridian Section – A Study 119 Dr. Troglodyte 01-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 127 Sirfiroth 01-May-18 19:55
Re: Khafre’s Half-Meridian Section – A Study 118 Dr. Troglodyte 01-May-18 20:40
Re: Khafre’s Half-Meridian Section – A Study 132 Sirfiroth 01-May-18 22:20
Re: Khafre’s Half-Meridian Section – A Study 131 Dr. Troglodyte 02-May-18 16:00
Re: Khafre’s Half-Meridian Section – A Study 107 Sirfiroth 02-May-18 16:34
Re: Khafre’s Half-Meridian Section – A Study 127 cloister 02-May-18 17:20
Re: Khafre’s Half-Meridian Section – A Study 135 Sirfiroth 02-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 79 cloister 02-May-18 21:14
Re: Khafre’s Half-Meridian Section – A Study 111 Sirfiroth 03-May-18 00:47
Re: Khafre’s Half-Meridian Section – A Study 92 DavidK 02-May-18 21:51
Re: Khafre’s Half-Meridian Section – A Study 119 Sirfiroth 02-May-18 23:42
Re: Khafre’s Half-Meridian Section – A Study 64 molder 03-May-18 12:02
Re: Khafre’s Half-Meridian Section – A Study 118 Sirfiroth 03-May-18 12:54
Re: Khafre’s Half-Meridian Section – A Study 106 Manu 03-May-18 01:26
Re: Khafre’s Half-Meridian Section – A Study 127 DavidK 01-May-18 14:29
Re: Khafre’s Half-Meridian Section – A Study 120 DavidK 02-May-18 07:55
Re: Khafre’s Half-Meridian Section – A Study 143 DavidK 03-May-18 06:08
Re: Khafre’s Half-Meridian Section – A Study 93 DavidK 03-May-18 15:17
Blue Square Study 128 Dr. Troglodyte 03-May-18 19:34
Re: Blue Square Study 115 molder 04-May-18 03:50
Re: Blue Square Study 136 Dr. Troglodyte 04-May-18 14:50
Re: Blue Square Study 127 molder 06-May-18 04:19
Re: Blue Square Study 112 Dr. Troglodyte 06-May-18 13:26
Re: Blue Square Study 72 molder 07-May-18 12:08
Re: Blue Square Study 94 Sirfiroth 07-May-18 17:41
Re: Blue Square Study 89 molder 07-May-18 20:30
Re: Blue Square Study 102 Dr. Troglodyte 07-May-18 19:12
Re: Blue Square Study 85 molder 07-May-18 22:36
Re: Blue Square Study 81 Manu 06-May-18 15:39
Re: Blue Square Study 80 DUNE 06-May-18 16:12
Re: Blue Square Study 90 Manu 06-May-18 16:24
Re: Blue Square Study 81 DUNE 06-May-18 17:38
Re: Blue Square Study 94 Manu 06-May-18 19:26
Re: Blue Square Study 114 Sirfiroth 06-May-18 22:37
Re: Blue Square Study 109 Manu 07-May-18 01:21
Re: Blue Square Study 98 DUNE 07-May-18 07:46
Re: Blue Square Study 93 Sirfiroth 07-May-18 14:39
Re: Blue Square Study 110 Manu 12-May-18 18:48
Re: Blue Square Study 126 Sirfiroth 14-May-18 00:49
Re: Blue Square Study 98 Manu 14-May-18 03:32
Re: Blue Square Study 112 Sirfiroth 15-May-18 18:22
Re: Blue Square Study 55 Manu 15-May-18 19:02
Superscripts [?] 85 Dr. Troglodyte 15-May-18 19:21
Re: Superscripts [?] 52 Manu 15-May-18 19:47
Re: Superscripts [?] 88 Dr. Troglodyte 15-May-18 20:32
Re: Superscripts [?] 96 Manu 15-May-18 20:45
Re: Blue Square Study 106 Manu 14-May-18 15:03
Curious geometry 117 cloister 06-May-18 10:18
Mod Note > Images 108 Dr. Troglodyte 06-May-18 14:12
Re: Khafre’s Half-Meridian Section – A Study 129 DavidK 05-May-18 11:09
Re: Khafre’s Half-Meridian Section – A Study 122 DavidK 08-May-18 08:47
Re: Khafre’s Half-Meridian Section – A Study 124 Sirfiroth 08-May-18 18:37
Re: Khafre’s Half-Meridian Section – A Study 108 DavidK 08-May-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 102 DavidK 09-May-18 10:46
Re: Khafre’s Half-Meridian Section – A Study 136 DavidK 09-May-18 11:12
Re: Khafre’s Half-Meridian Section – A Study 149 DavidK 17-May-18 05:26
Re: Khafre’s Half-Meridian Section – A Study 97 DavidK 16-May-18 13:32


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