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<math> \theta = \arctan{(\tan({\theta_p})-\frac{O_p}{F}})</math>
 
<math> \theta = \arctan{(\tan({\theta_p})-\frac{O_p}{F}})</math>
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where <math>\theta</math> is the entry angle at a given lens, <math>O</math> is the directional offset at the given lens, F is the focal length of the given lens, S is the spacing between the given lens and the next lens, and <math>R_p</math> is the value of R at the previous lens.
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where <math>\theta</math> is the entry angle at a given lens, <math>O</math> is the directional offset at the given lens, F is the focal length of the given lens, S is the spacing between the given lens and the next lens, and <math>R_p</math> is the value of any value R at the previous lens.
    
Given these equations, we can further calculate the magnification of the image by recalculating the position of its edges. Assuming the image is symmetrical on some X and Y axis, we can find its size by tracing the position of its edges, defined as the offset plus or minus half the size of the object. Given these, we can calculate the image's size and location on each of the lenses, as well as the sensor.
 
Given these equations, we can further calculate the magnification of the image by recalculating the position of its edges. Assuming the image is symmetrical on some X and Y axis, we can find its size by tracing the position of its edges, defined as the offset plus or minus half the size of the object. Given these, we can calculate the image's size and location on each of the lenses, as well as the sensor.
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