# Tagged Questions

Plane curves are continuous (or smooth) functions $\gamma\colon I\to\mathbb R^2$ from a real interval to the plane. Sometimes also the image $\gamma(I)$ is called curve.

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### What does “the circle is tangent to the curve” mean?

I've got a math exercise where it's said I have to prove that a circle is tangent to a curve (described by a parametric plot). Here's the graph : So we can see that when $y=0$, the circle is really ...
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### Is there a generalized method of rotation for curves?

I know that we can rotate a curve in $R^2$ about a linear axis, as is common for first year calculus problems involving solids of revolution. But has anyone come up with a general method to take a ...
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### Components of algebraic varieties

Sorry, but I have to ask a dumb question: Algebraically, a hyperbola has only one irreducible component (given by an irreducible polynomial). Why, then, does the real image of a hyperbola show two ...
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### What constants do I need to create this specific logarithmic spiral?

please bear with me as I'm not a mathematician and this is difficult to word properly. :] I need the equation for a logarithmic spiral (let's call it $S(\theta)$) that meets certain constraints for a ...