Programming Language: Python

Namespace/Package Name: sympy.geometry

Class/Type: Point

Examples at hotexamples.com: 53

Description:

The sympy.geometry Point is a class that represents a point in 2D or 3D space. It can be used to perform geometric operations such as finding the distance between two points, calculating the midpoint of a line segment or checking if a point lies on a given line.

Code Examples:

1. Creating a point object in 2D space:

from sympy.geometry import Point

p = Point(1, 2)

Here, we create a 2D point object with coordinates (1,2).

2. Creating a point object in 3D space:

from sympy.geometry import Point

p = Point(1, 2, 3)

Here, we create a 3D point object with coordinates (1,2,3).

3. Finding the distance between two points in 2D space:

from sympy.geometry import Point

p1 = Point(1, 2)

p2 = Point(4, 6)

distance = p1.distance(p2)

print(distance)

Here, we create two 2D point objects with coordinates (1,2) and (4,6) respectively. Then we use the distance method to find the distance between the two points.

4. Checking if a point lies on a given line in 2D space:

from sympy.geometry import Point, Line

p = Point(2, 3)

l = Line((0, 0), (1, 1))

print(l.contains(p))

Here, we create a 2D point object with coordinates (2,3) and a line object that passes through the points (0,0) and (1,1). We use the contains method of the line object to check if the point lies on the line.

Package library:

The sympy.geometry module belongs to the SymPy library, which is a Python library for symbolic mathematics. The SymPy library provides various tools for performing symbolic calculations, including algebraic manipulation, calculus, and geometry. The sympy.geometry module provides classes for representing and manipulating geometric objects in 2D and 3D space.

The sympy.geometry Point is a class that represents a point in 2D or 3D space. It can be used to perform geometric operations such as finding the distance between two points, calculating the midpoint of a line segment or checking if a point lies on a given line.

Code Examples:

1. Creating a point object in 2D space:

from sympy.geometry import Point

p = Point(1, 2)

Here, we create a 2D point object with coordinates (1,2).

2. Creating a point object in 3D space:

from sympy.geometry import Point

p = Point(1, 2, 3)

Here, we create a 3D point object with coordinates (1,2,3).

3. Finding the distance between two points in 2D space:

from sympy.geometry import Point

p1 = Point(1, 2)

p2 = Point(4, 6)

distance = p1.distance(p2)

print(distance)

Here, we create two 2D point objects with coordinates (1,2) and (4,6) respectively. Then we use the distance method to find the distance between the two points.

4. Checking if a point lies on a given line in 2D space:

from sympy.geometry import Point, Line

p = Point(2, 3)

l = Line((0, 0), (1, 1))

print(l.contains(p))

Here, we create a 2D point object with coordinates (2,3) and a line object that passes through the points (0,0) and (1,1). We use the contains method of the line object to check if the point lies on the line.

Package library:

The sympy.geometry module belongs to the SymPy library, which is a Python library for symbolic mathematics. The SymPy library provides various tools for performing symbolic calculations, including algebraic manipulation, calculus, and geometry. The sympy.geometry module provides classes for representing and manipulating geometric objects in 2D and 3D space.

Frequently Used Methods

Frequently Used Methods

Frequently Used Methods

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