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1 parent 117f666 commit a9654cdCopy full SHA for a9654cd
_posts/2024-11-11-BESIDE-THE-POINT.md
@@ -100,8 +100,8 @@ The intersection of these two circles needs to be removed (formulas taken from [
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-r_1 = \sqrt(x_1^2 + y_1^2) \\
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-r_2 = \sqrt((x_1-1)^2 + y_1^2) \\
+r_1 = \sqrt{(x_1^2 + y_1^2)} \\
+r_2 = \sqrt{((x_1-1)^2 + y_1^2)} \\
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c_{bd} = 2 * \arccos{\frac{r_2^2 + 1 - r_1^2}{2r_2}} \\
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c_{ad} = 2 * \arccos{\frac{r_1^2 + 1 - r_2^2}{2r_0}} \\
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\textrm{intersection area} = \frac{1}{2}r_2^2(c_{bd} - \sin(c_{bd})) + \frac{1}{2}r_1^2(c_{ad} - \sin(c_{ad}))
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