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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 804 Dr. Troglodyte 29-Apr-18 17:22
Re: Khafre’s Half-Meridian Section – A Study 96 Manu 29-Apr-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 55 DavidK 30-Apr-18 09:43
Re: Khafre’s Half-Meridian Section – A Study 48 molder 30-Apr-18 11:34
Re: Khafre’s Half-Meridian Section – A Study 56 DavidK 30-Apr-18 13:31
Re: Khafre’s Half-Meridian Section – A Study 38 molder 01-May-18 11:53
Re: Khafre’s Half-Meridian Section – A Study 60 Dr. Troglodyte 01-May-18 17:04
Re: Khafre’s Half-Meridian Section – A Study 53 Sirfiroth 01-May-18 19:14
Re: Khafre’s Half-Meridian Section – A Study 41 Dr. Troglodyte 01-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 45 Sirfiroth 01-May-18 19:55
Re: Khafre’s Half-Meridian Section – A Study 47 Dr. Troglodyte 01-May-18 20:40
Re: Khafre’s Half-Meridian Section – A Study 50 Sirfiroth 01-May-18 22:20
Re: Khafre’s Half-Meridian Section – A Study 37 Dr. Troglodyte 02-May-18 16:00
Re: Khafre’s Half-Meridian Section – A Study 41 Sirfiroth 02-May-18 16:34
Re: Khafre’s Half-Meridian Section – A Study 39 cloister 02-May-18 17:20
Re: Khafre’s Half-Meridian Section – A Study 45 Sirfiroth 02-May-18 19:41
Re: Khafre’s Half-Meridian Section – A Study 32 cloister 02-May-18 21:14
Re: Khafre’s Half-Meridian Section – A Study 34 Sirfiroth 03-May-18 00:47
Re: Khafre’s Half-Meridian Section – A Study 31 DavidK 02-May-18 21:51
Re: Khafre’s Half-Meridian Section – A Study 37 Sirfiroth 02-May-18 23:42
Re: Khafre’s Half-Meridian Section – A Study 30 molder 03-May-18 12:02
Re: Khafre’s Half-Meridian Section – A Study 39 Sirfiroth 03-May-18 12:54
Re: Khafre’s Half-Meridian Section – A Study 42 Manu 03-May-18 01:26
Re: Khafre’s Half-Meridian Section – A Study 52 DavidK 01-May-18 14:29
Re: Khafre’s Half-Meridian Section – A Study 45 DavidK 02-May-18 07:55
Re: Khafre’s Half-Meridian Section – A Study 47 DavidK 03-May-18 06:08
Re: Khafre’s Half-Meridian Section – A Study 37 DavidK 03-May-18 15:17
Blue Square Study 54 Dr. Troglodyte 03-May-18 19:34
Re: Blue Square Study 41 molder 04-May-18 03:50
Re: Blue Square Study 61 Dr. Troglodyte 04-May-18 14:50
Re: Blue Square Study 40 molder 06-May-18 04:19
Re: Blue Square Study 31 Dr. Troglodyte 06-May-18 13:26
Re: Blue Square Study 25 molder 07-May-18 12:08
Re: Blue Square Study 24 Sirfiroth 07-May-18 17:41
Re: Blue Square Study 23 molder 07-May-18 20:30
Re: Blue Square Study 33 Dr. Troglodyte 07-May-18 19:12
Re: Blue Square Study 22 molder 07-May-18 22:36
Re: Blue Square Study 36 Manu 06-May-18 15:39
Re: Blue Square Study 22 DUNE 06-May-18 16:12
Re: Blue Square Study 33 Manu 06-May-18 16:24
Re: Blue Square Study 32 DUNE 06-May-18 17:38
Re: Blue Square Study 34 Manu 06-May-18 19:26
Re: Blue Square Study 31 Sirfiroth 06-May-18 22:37
Re: Blue Square Study 42 Manu 07-May-18 01:21
Re: Blue Square Study 35 DUNE 07-May-18 07:46
Re: Blue Square Study 31 Sirfiroth 07-May-18 14:39
Re: Blue Square Study 31 Manu 12-May-18 18:48
Re: Blue Square Study 28 Sirfiroth 14-May-18 00:49
Re: Blue Square Study 35 Manu 14-May-18 03:32
Re: Blue Square Study 23 Sirfiroth 15-May-18 18:22
Re: Blue Square Study 12 Manu 15-May-18 19:02
Superscripts [?] 17 Dr. Troglodyte 15-May-18 19:21
Re: Superscripts [?] 12 Manu 15-May-18 19:47
Re: Superscripts [?] 16 Dr. Troglodyte 15-May-18 20:32
Re: Superscripts [?] 17 Manu 15-May-18 20:45
Re: Blue Square Study 30 Manu 14-May-18 15:03
Curious geometry 46 cloister 06-May-18 10:18
Mod Note > Images 40 Dr. Troglodyte 06-May-18 14:12
Re: Khafre’s Half-Meridian Section – A Study 54 DavidK 05-May-18 11:09
Re: Khafre’s Half-Meridian Section – A Study 39 DavidK 08-May-18 08:47
Re: Khafre’s Half-Meridian Section – A Study 37 Sirfiroth 08-May-18 18:37
Re: Khafre’s Half-Meridian Section – A Study 34 DavidK 08-May-18 20:14
Re: Khafre’s Half-Meridian Section – A Study 32 DavidK 09-May-18 10:46
Re: Khafre’s Half-Meridian Section – A Study 51 DavidK 09-May-18 11:12
Re: Khafre’s Half-Meridian Section – A Study 29 DavidK 17-May-18 05:26
Re: Khafre’s Half-Meridian Section – A Study 23 DavidK 16-May-18 13:32


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