||Finding signed Areas and Volumes inspired by Technology
||Wei-Chi YANG and Min-Lin LO
We describe how we can find the singed area bounded by a parametric curve with respect to a
slanted line y = mx + b in two dimensions. We extend this idea to the corresponding setting in
three dimensions. These are special cases of Green’s Theorem and the Divergence Theorem, but
the ideas and methods introduced here are accessible to a wider audience.