What are Entities in Sympy

This recipe explains what are Entities in Sympy

Recipe Objective - What are Entities in Sympy?

The geometry module in SymPy is the base class for all geometrical entities and allows the creation of two-dimensional objects such as lines, circles, etc. Then we can get information about it, such as checking for collinearity or finding intersections.

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Point:
The class of points represents a point in Euclidean space. The following example checks the collinearity of the points:

# Example 1:

# Importing libraries
from sympy.geometry import Point
from sympy.abc import p,q,r

# Defining some points
p = Point(2,4)
q = Point(4,6)
r = Point(6,7)

print("Are points P and Q collinear ? => ",Point.is_collinear(p,q))
print("Are points P, Q and R collinear ? => ",Point.is_collinear(p,q,r))

Output - 
Are points P and Q collinear ? =>  True
Are points P, Q and R collinear ? =>  False

The distance() method of the Point class calculates the distance between two points.

# Example 2:

# Importing libraries
from sympy.geometry import Point
from sympy.abc import p,q
from sympy import pprint

# Defining some points
p = Point(2,4)
q = Point(12,6)

print("Distance between P and Q => ")
pprint(p.distance(q))

Output - 
Distance between P and Q => 
2.√26

Line:
The line entity is obtained from two-point objects. The intersection() method returns an intersection point when two lines intersect.

# Example 1:

# Importing libraries
from sympy.geometry import Point, Line

# Defining some lines
line1 = Line(Point(0,0), Point(10,10))
line2 = Line(Point(10,0), Point(0,10))

# intersection point of 2 lines
line1.intersection(line2)

Output - 
[Point2D(5, 5)]

In this way here, we learned about entities in sympy.

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