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(This is preliminary introduction to a portion of my studies, since completing a PHD titled "Towards a New E.R.A.: Epistemological Resolution Analysis By and Through the Kleinbottle and Transdisciplinary Education. 2006. The body of this research regarding the study and interrogation of both arbitrary and non arbitrary geometrical models, is post doctoral. It has taken many years to come to understand the neccessity for non disclosure, and the dire issues raised in research since 1873.)
 
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The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record).
The first principles of Astronomy, are based on the topological study of the site, conducted in the broard light of day, using a gnomic indicator (a gnomon is any technological device that is either naturally occurring, or man made, that enables the indication of a signature record).
From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.
From this primary study, the records of the sun's shadow, traced through space over time, provide the visual mapping of the othographic projection of actual daily and annular cycles.
[[File:Orthgraphic Projection|thumb|alt=The bicameral/monocameral relation informs our understanding of 3D 2D relations.|Study after Vitruvius]]
[[File:Vitruvian orthographic projection.jpg|thumb|Vitruvian orthographic projection]]
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.  
Tracing the signature record of the Sun's shadow on the ground plane results in the marking of continuous "lines of time" on the spatial field of the ground plane, from dawn to dusk, which inform the mapping of the ratios of day to night.  
[[File:The relation between the Vitruvian Dial, Ptolemy's Analemma.png|thumb]]
[[File:The relation between the Vitruvian Dial, Ptolemy's Analemma.png|thumb]]