NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Symmedian for a tetrahedron
From: Bill Lionheart
Date: 2017 Feb 5, 16:17 +0000
From: Bill Lionheart
Date: 2017 Feb 5, 16:17 +0000
I know we mainly do CN on a known surface but if you want to extend this to three dimensions where position lines become position planes the symmedian point as the least squared distance from four planes also works. See Jawad Sadek, Majid Bani-Yaghoub, and Noah H. Rhee, Forum Geometricorum, Isogonal Conjugates in a Tetrahedron, Forum Geo,Volume 16 (2016) 43–50. Possible applications include multilateration in three dimensional space from four distances (eg satellite navigation systems where you want position in 3-sapce) Bill Lionheart
