Gnomonic projection: Difference between revisions

 
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* <math>(x,y) \in (-\infty, \infty) \times (-\infty, \infty)</math> Cartesian coordinates.
* <math>(x,y) \in (-\infty, \infty) \times (-\infty, \infty)</math> Cartesian coordinates.


<math>x = \frac{\cos(\theta)\sin(\lambda - \lambda_0)}{\cos(c)}</math><br>
<math>x = \frac{\cos(\phi)\sin(\lambda - \lambda_0)}{\cos(c)}</math><br>
<math>y = \frac{\cos(\phi_1)\sin(\phi)-\sin(\phi_1)\cos(\phi)\cos(\lambda - \lambda_0)}{\cos(c)}</math><br>
<math>y = \frac{\cos(\phi_1)\sin(\phi)-\sin(\phi_1)\cos(\phi)\cos(\lambda - \lambda_0)}{\cos(c)}</math><br>
where <math>c</math> is the angular distance of the point <math>(x,y)</math> from the center of the projection, given by<br>
where <math>c</math> is the angular distance of the point <math>(x,y)</math> from the center of the projection, given by<br>