Python – Sympy Polygon.cut_section() Method

Python | Sympy Segment.perpendicular_bisector() method

Last Updated : 25 Apr, 2025

In Sympy, the function perpendicular_bisector() is used to find the perpendicular bisector of the given segment. If no point is specified or the point specified is not on the bisector then the bisector is returned as a Line. Otherwise, a Segment is returned that joins the point specified and the intersection of the bisector and the segment.

Syntax: Segment.perpendicular_bisector(p=None)

Parameters:
 p: Point

Returns:
 bisector: Line or Segment

Example #1:

Python3

# import sympy and Point, Segment
from sympy import Point, Segment

p1, p2, p3 = Point(0, 0), Point(6, 6), Point(5, 1)
s1 = Segment(p1, p2)

# using perpendicular_bisector() method
perpendicularBisector = s1.perpendicular_bisector()

print(perpendicularBisector)

Output:

Line2D(Point2D(3, 3), Point2D(-3, 9))

Example #2:

Python3

# import sympy and Point, Segment
from sympy import Point, Segment

p1, p2, p3 = Point(0, 0), Point(6, 6), Point(5, 1)
s1 = Segment(p1, p2)

# using perpendicular_bisector() method
perpendicularBisector = s1.perpendicular_bisector(p3)

print(perpendicularBisector)

Output:

Segment2D(Point2D(5, 1), Point2D(3, 3))

Python – Sympy Polygon.cut_section() Method

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