MATH 14 Lecture Notes - Lecture 3: Asteroid Family
12 Jan 2019
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Document Summary
Math 14 class lecture 3: arc length sect. ) how do you determine s (written with a hook at the top tip of s), the arc length (or path length) ) how do you determine s (written with a hook at the top tip of s), the arc length (or path length) of a curve: idea: approximate s by using line segments. To get s, we"ll take the limit as these line segments" length goes to zero: geometry. Note: s w/ hook whole curve, s portions of the whole curve. Key equation: y is a function of x, x is a function of y, x & y are functions of the parameter t , y is a function of x. S is the arc length between (x ) (dx) + (dy) ds dx = ds dx = dx = 1 ds. 3 out of 6 ds dx dx dy 2 x1 x0 1.
