NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Greg Rudzinski
Date: 2010 Dec 10, 12:32 -0800
Herbert,
Could you inspect and comment on the linked diagrams.
The first linked diagram shows a 30°/60°/90° triangle plot with bisected vertex, internal circle tangents, vertex to tangent intersections (symmedian or Gergonne point), and the d/2 circle around point P.
(very busy plot)
The Gergonne point (Gp) seems to be dependent on the bisected angle point (Bp). Point Bp weighs each LOP equally and point Gp shifts away from the smallest angle and toward the largest angle. The d/2 circle intersects at three points along the bisection and tangent lines.
The question now is which point is correct ? Gp or one of the three d/2 intersections ? If I had to guess then I would select the intersection of the d/2 circle, P perpendicular, and 60° vertex to inner circle tangent (see second linked diagram)
Greg Rudzinski
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