4.3 Arc Length and Curvature - Pennsylvania State University
We want to sum this over each line segment. Xn i=0 p (xi)2 +( 2yi)2 +(zi) If you recall the definition of an integral, then you’ll notice that letting these line segments get infinitesimally small will produce an integral and derivatives! That is, Arc Length from a to b = Z b a s dx dt 2 + dy dt 2 + dz dt 2 dt Put another way, Arc Length ... ................
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