Abstract
Example Suppose our diagonal measurements are x = 36 inches and y = 37 inches. Then d(36, 37) = tt = 36.503424 and L(36, 37) = 36.5. The reader may wish to estimate the error in this linear approximation using Taylor's theorem in two variables [1]. If y is the longer diagonal and x the shorter, and if both Ix x0I and Iy x0I are known to be less than h, the error can be seen to be less than y2h2/(2x3).
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