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APPENDIX A: North-East coordinates to Up-Left coordinates for Gnomonic Projection l = z × m e = p × m ∥l × e∥ l ⋅ e tan = (2) m ⋅ l × e 0 ⇒ = 2 − [ Then, the transformation is obtained by multiplying the north-east coordinates by the rotation matrix cos −sin . sin cos 31 ICSOFT Programmer Manual Rev 3.6.4, February 2015 ]