pythagoras.line module

class pythagoras.line.Line(point: tuple[float, float], direction: Vector, zord: int = 0)

Bases: PObject

Line in \(\mathbf R^2\). Contrary to a Path object, a line extends throughout the entirety of the canvas.

Variables:

• point (tuple[float, float]) – A point that belongs to the line.

• direction (pythagoras.vector.Vector) – Direction vector.

direction: Vector

extrema() → list[tuple[float, float]]

Computes the furthermost points of the figure.

Returns:

A list with the bounding points of the object.

classmethod from_implicit(a: float, b: float, c: float, zord: int = 0) → Self

Creates a line from its implicit equation, where it is given as \(\ell : ax + by = c.\)

Returns:

The line with that implicit equation.

Raises:

ValueError – If both a and b are zero.

classmethod from_two_points(p1: tuple[float, float], p2: tuple[float, float], zord: int = 0) → Self

Constructs the unique line that passes through two points.

Parameters:

• p1 – First point.

• p2 – Second point.

Returns:

A line that contains p1 and p2.

property implicit: tuple[float, float, float]

Gives the line expressed in an implicit equation, where the numbers are the coefficients of \(x\) and \(y\), and the independent term (see from_implicit()).

point: tuple[float, float]

svg(ctx: RenderingContext, *args: POProperty) → str

Compiles the object into SVG commands.

Parameters:

• ctx – Context associated with the Canvas instance.

• args – Properties of the object.

Returns:

The corresponding SVG code.

tikz(ctx: RenderingContext, *args: POProperty) → str

Compiles the object into a sequence of TikZ instructions.

Parameters:

• ctx – Context associated with the Canvas instance.

• args – Properties of the object.

Returns:

The resulting TikZ code.