16 questions linked to/from How to determine the arc length of ellipse?
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### Approximating the integral $\int_0^{0.1} \sqrt{1-1/2\sin^2(t)} dt$

How would I go about evaluating $I = \int_0^{0.1} \sqrt{1-1/2\sin^2(t)} dt$ to four decimal accuracy?
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### Determining the angle degree of an arc in ellipse?

Is it possible to determine the angle in degree of an arc in ellipse by knowing the arc length, ellipse semi-major and semi-minor axis ? If I have an arc length at the first quarter of an ellipse and ...
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### Having 2 independent segments made by 4 cartesian points, calculating x points of a smooth curve connecting the two segments

Drawing with an example of what Im trying to do I'm trying to make a sort of turtle program as a toy programming project. I can send instruction to go from A to B straight giving direction and ...
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### Construction of new ellipse

Using a pencil, the thread was pulled on the ellipse. Then the pencil started to rotate around the ellipse. How to prove that the new geometric figure which the pencil drew is also an ellipse (with ...
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### Generate random points on perimeter of ellipse

Sampling only from the uniform distribution $U(0,1)$, I am hoping to use transformations to create random values distributed uniformly around the perimeter of an ellipse. Eventually, I'd like to do ...
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### ellipse uniform perimeter travel?

I'm trying to come up with a way that as I progress linearly from $0$ to $360$ degrees or $0$ to $2\pi$ radians I have the the corresponding position (P) on the perimeter of an ellipse to also travel ...
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