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From the article: > But that was an impossible task: There’s no one formula that can give the area for every kind of shape. (Think about how you use different
by motorest 2y ago
From the article:
> But that was an impossible task: There’s no one formula that can give the area for every kind of shape. (Think about how you use different functions to find the areas of circles versus triangles.)But that was an impossible task: There’s no one formula that can give the area for every kind of shape. (Think about how you use different functions to find the areas of circles versus triangles.)
I don't get it. Am I missing something obvious? I mean, if you have a shape then you can calculate it's area with Green's theorem.
https://en.wikipedia.org/wiki/Green%27s_theorem https://en.wikipedia.org/wiki/Green%27s_theorem
If your shape is parameterized then so is your area definition. What's the problem?
- mr_mitm 2y agoThe problem is not to find the area, but to find a parameterization of all possible shapes that fit, ideally a differentiable one so you can simply compute some derivatives to find the maximum.