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Square! (lemmy.zip)

submitted 1 day ago by Maven@lemmy.zip to c/science_memes@mander.xyz

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[–] wholookshere@lemmy.blahaj.zone 1 points 12 hours ago (1 children)

I’m saying that the tangent of a straight line in Cartesian coordinates, projected into polar, does not have constant tangent. A line with a constant tangent in polar, would look like a circle in Cartesian.

[–] ltxrtquq@lemmy.ml 3 points 11 hours ago

Polar Functions and dydx

We are interested in the lines tangent a given graph, regardless of whether that graph is produced by rectangular, parametric, or polar equations. In each of these contexts, the slope of the tangent line is dydx. Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ. Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

From the link above. I really don't understand why you seem to think a tangent line in polar coordinates would be a circle.