) Let 8(t) be a geodesic (parametrized by the arc length) on a surface S of revolution, and let y(t) be the angle betwee

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Let 8 T Be A Geodesic Parametrized By The Arc Length On A Surface S Of Revolution And Let Y T Be The Angle Betwee 1 (98.16 KiB) Viewed 58 times

) Let 8(t) be a geodesic (parametrized by the arc length) on a surface S of revolution, and let y(t) be the angle between the unit tangent vector t(t) and the meridian. Express y(t) in terms of y(t), i.e., the distance from the point to the axis of revolution. (Hint: use the set-up and findings of Homework 2 to write down a differential equation. Warning: distinguish carefully between the arc length parameter t of the geodesic in question and the arc length parameter s of the generating curve! Do not mix the derivatives!)