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em dash; sentence case

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jverzani
2025-07-27 15:26:00 -04:00
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quarto/integrals/area_between_curves.qmd
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@@ -448,7 +448,7 @@ When doing problems by hand this latter style can often reduce the complications
Consider two overlapping circles, one with smaller radius. How much area is in the larger circle that is not in the smaller? The question came up on the `Julia` [discourse](https://discourse.julialang.org/t/is-there-package-or-method-to-calculate-certain-area-in-julia-symbolically-with-sympy/99751) discussion board. A solution, modified from an answer of `@rocco_sprmnt21`, follows.
Without losing too-much generality, we can consider the smaller circle to have radius $a$, the larger circle to have radius $b$ and centered at $(0,c)$.
We assume some overlap -- $a \ge c-b$, but not too much -- $c-b \ge 0$ or $0 \le c-b \le a$.
We assume some overlap---$a \ge c-b$, but not too much---$c-b \ge 0$ or $0 \le c-b \le a$.
```{julia}
@syms x::real y::real a::positive b::positive c::positive