Skip to content

Commit a1b2b81

Browse files
committed
minor
1 parent 7ffcc5c commit a1b2b81

File tree

1 file changed

+1
-1
lines changed

1 file changed

+1
-1
lines changed

src/geometry/enclosing-circle.md

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -161,7 +161,7 @@ But which one of them means that $z$ is inside or outside of the circle? As we a
161161

162162
In other words, if $\angle bca$ is positive, points inside the circle will have $\angle azb + \angle bca < 0^\circ$, otherwise they will have $\angle azb + \angle bca > 0^\circ$, assuming that we normalize the angles between $-180^\circ$ and $180^\circ$. This, in turn, can be checked by the signs of imaginary parts of $I_2=(a-c)\overline{(b-c)}$ and $I_1 = I_0 I_2$.
163163

164-
**Note**: As we multiply four complex numbers here, the intermediate coefficients can be as large as $O(A^4)$, where $A$ is the largest coordinate magnitude in the input. On the bright side, if the input is integer, both checks above can be done fully in integers.
164+
**Note**: As we multiply four complex numbers to get $I_1$, the intermediate coefficients can be as large as $O(A^4)$, where $A$ is the largest coordinate magnitude in the input. On the bright side, if the input is integer, both checks above can be done fully in integers.
165165

166166
#### Implementation
167167

0 commit comments

Comments
 (0)