Comment on Hilariously fast volume computation with the divergence theorem (2018)parentComments−jacobolus14dThis is one variant of the 3-d analog of the "shoelace formula" for area:https://en.wikipedia.org/wiki/Shoelace_formula#Generalizatio...The 2-d version is from the 18th century. I'd expect the 3-d version was probably known in the 19th century, but I haven't searched for a reference.
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This is one variant of the 3-d analog of the "shoelace formula" for area:
https://en.wikipedia.org/wiki/Shoelace_formula#Generalizatio...
The 2-d version is from the 18th century. I'd expect the 3-d version was probably known in the 19th century, but I haven't searched for a reference.