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This document discusses vector analysis techniques for quantifying astigmatism. It provides background on vector concepts and graphical and trigonometric methods of vector manipulation. These techniques allow astigmatic change to be analyzed in terms of magnitude and direction. The key method described is calculating the surgically induced astigmatism vector by summing two crossed cylindrical lenses using trigonometric formulas. This provides a unified way to quantify astigmatic change from refractive proce

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