Tagged Questions
4
votes
1answer
77 views
Algebraic vs. Analytic curves
I'm familiar with the idea of using algebra to study certain types of plane curves, and my understanding is that there is a whole class of "algebraic curves" that can be studied this way. It would ...
8
votes
2answers
154 views
Where do people learn about things like caustics, evolutes, inverse curves, etc.?
When I look up a curve on Wikipedia, I'll often see a lot of properties along the lines of "you can generate curve X by rolling a circle along curve Y and tracing the trajectory of a single point," or ...
8
votes
1answer
273 views
What are curves (generalized ellipses) with more than two focal points called and how do they look like?
An ellipse is usually defined as the locus of points so that sum of the distances to the two foci is constant. But what are curves called which are defined as the locus of points so that the sum of ...
7
votes
5answers
1k views
A Math function that draws water droplet shape?
I just need a quick reference. What is the function for this kind of shape?
Thanks.
7
votes
1answer
429 views
Comprehensive compilation of conic section formulae
My frustration started after hours of searching failed to turn up a formula for the vertex of a parabola in the general form
$$Ax^2+Bxy+Cy^2+Dx+Ey+F=0$$
As is already well known, the discriminant ...