Gnomon and circle: a simple method for finding cardinal directions

Sacred Geometry: What Ancient Patterns Can Teach Us | Drew Brophy
Source: Sacred Geometry: What Ancient Patterns Can Teach Us | Drew Brophy by The Randall Carlson

Plant a vertical pole and draw a circle around it. On the same day, mark the shadow tip where it crosses the circle before and after noon; the chord between those points gives east–west, while the perpendicular through the pole gives north–south. The circle also supports 90-degree angles, equilateral-triangle geometry and regular polygons. At 34° N, solstitial noon altitudes differ by about 47°. The video argues that extending the construction to the horizon can identify stellar rising points, including the Pleiades, Sirius and Arcturus. Polaris is circumpolar there and does not rise; it instead provides a northern check. Carlson describes the method as a possible precursor to sacred geometry.

Key facts

  • On the same day, mark the shadow tip where it crosses the circle before and after noon; joining these equal-length positions gives the east–west axis, while the perpendicular through the pole gives north–south.
  • The circle can be used to construct right angles, the 60-degree angles of an equilateral triangle and regular polygons such as a pentagon.
  • At 34° N, the difference between solstitial noon-sun altitudes is about 47 degrees.
  • Polaris is circumpolar at 34° N and does not rise; it can serve as a northern reference, unlike the Pleiades, Sirius and Arcturus, which have rising points there.
  • The video argues that extending the construction to the horizon can mark stellar rising positions. Carlson also presents the procedure as a recurring 'primitive act' and a probable precursor to formal sacred geometry.

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Sources

thetitan.network
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The Gnomoneso.org
Here you simply draw a circle around your gnomon. the end of the shadow crosses this circle, before and after noon. This line defines the North-South direction ...
Gnomonen.wikipedia.org
A gnomon or stylus, is the stationary part of a sundial that casts a shadow. The term is used for a variety of purposes in mathematics and other fields, ...
astronomy - Gnomon's shadow at local noonhsm.stackexchange.com
Closed. This question is off-topic. It is not currently accepting answers. This question does not appear to be about history of science and ...
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