Angle#
Qualified name: manim.mobject.geometry.line.Angle
- class Angle(line1, line2, radius=None, quadrant=(1, 1), other_angle=False, dot=False, dot_radius=None, dot_distance=0.55, dot_color=ManimColor('#FFFFFF'), elbow=False, **kwargs)[source]#
Bases:
VMobject
A circular arc or elbow-type mobject representing an angle of two lines.
- Parameters:
line1 (Line) – The first line.
line2 (Line) – The second line.
radius (float | None) – The radius of the
Arc
.quadrant (Point2D) – A sequence of two
int
numbers determining which of the 4 quadrants should be used. The first value indicates whether to anchor the arc on the first line closer to the end point (1) or start point (-1), and the second value functions similarly for the end (1) or start (-1) of the second line. Possibilities: (1,1), (-1,1), (1,-1), (-1,-1).other_angle (bool) – Toggles between the two possible angles defined by two points and an arc center. If set to False (default), the arc will always go counterclockwise from the point on line1 until the point on line2 is reached. If set to True, the angle will go clockwise from line1 to line2.
dot (bool) – Allows for a
Dot
in the arc. Mainly used as an convention to indicate a right angle. The dot can be customized in the next three parameters.dot_radius (float | None) – The radius of the
Dot
. If not specified otherwise, this radius will be 1/10 of the arc radius.dot_distance (float) – Relative distance from the center to the arc: 0 puts the dot in the center and 1 on the arc itself.
dot_color (ParsableManimColor) – The color of the
Dot
.elbow (bool) – Produces an elbow-type mobject indicating a right angle, see
RightAngle
for more information and a shorthand.**kwargs – Further keyword arguments that are passed to the constructor of
Arc
orElbow
.
Examples
The first example shows some right angles with a dot in the middle while the second example shows all 8 possible angles defined by two lines.
Example: RightArcAngleExample ¶
from manim import * class RightArcAngleExample(Scene): def construct(self): line1 = Line( LEFT, RIGHT ) line2 = Line( DOWN, UP ) rightarcangles = [ Angle(line1, line2, dot=True), Angle(line1, line2, radius=0.4, quadrant=(1,-1), dot=True, other_angle=True), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8, dot=True, dot_color=YELLOW, dot_radius=0.04, other_angle=True), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, dot=True, dot_color=GREEN, dot_radius=0.08), ] plots = VGroup() for angle in rightarcangles: plot=VGroup(line1.copy(),line2.copy(), angle) plots.add(plot) plots.arrange(buff=1.5) self.add(plots)
class RightArcAngleExample(Scene): def construct(self): line1 = Line( LEFT, RIGHT ) line2 = Line( DOWN, UP ) rightarcangles = [ Angle(line1, line2, dot=True), Angle(line1, line2, radius=0.4, quadrant=(1,-1), dot=True, other_angle=True), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8, dot=True, dot_color=YELLOW, dot_radius=0.04, other_angle=True), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, dot=True, dot_color=GREEN, dot_radius=0.08), ] plots = VGroup() for angle in rightarcangles: plot=VGroup(line1.copy(),line2.copy(), angle) plots.add(plot) plots.arrange(buff=1.5) self.add(plots)
Example: AngleExample ¶
from manim import * class AngleExample(Scene): def construct(self): line1 = Line( LEFT + (1/3) * UP, RIGHT + (1/3) * DOWN ) line2 = Line( DOWN + (1/3) * RIGHT, UP + (1/3) * LEFT ) angles = [ Angle(line1, line2), Angle(line1, line2, radius=0.4, quadrant=(1,-1), other_angle=True), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8, other_angle=True), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED), Angle(line1, line2, other_angle=True), Angle(line1, line2, radius=0.4, quadrant=(1,-1)), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, other_angle=True), ] plots = VGroup() for angle in angles: plot=VGroup(line1.copy(),line2.copy(), angle) plots.add(VGroup(plot,SurroundingRectangle(plot, buff=0.3))) plots.arrange_in_grid(rows=2,buff=1) self.add(plots)
class AngleExample(Scene): def construct(self): line1 = Line( LEFT + (1/3) * UP, RIGHT + (1/3) * DOWN ) line2 = Line( DOWN + (1/3) * RIGHT, UP + (1/3) * LEFT ) angles = [ Angle(line1, line2), Angle(line1, line2, radius=0.4, quadrant=(1,-1), other_angle=True), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8, other_angle=True), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED), Angle(line1, line2, other_angle=True), Angle(line1, line2, radius=0.4, quadrant=(1,-1)), Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, other_angle=True), ] plots = VGroup() for angle in angles: plot=VGroup(line1.copy(),line2.copy(), angle) plots.add(VGroup(plot,SurroundingRectangle(plot, buff=0.3))) plots.arrange_in_grid(rows=2,buff=1) self.add(plots)
Example: FilledAngle ¶
from manim import * class FilledAngle(Scene): def construct(self): l1 = Line(ORIGIN, 2 * UP + RIGHT).set_color(GREEN) l2 = ( Line(ORIGIN, 2 * UP + RIGHT) .set_color(GREEN) .rotate(-20 * DEGREES, about_point=ORIGIN) ) norm = l1.get_length() a1 = Angle(l1, l2, other_angle=True, radius=norm - 0.5).set_color(GREEN) a2 = Angle(l1, l2, other_angle=True, radius=norm).set_color(GREEN) q1 = a1.points # save all coordinates of points of angle a1 q2 = a2.reverse_direction().points # save all coordinates of points of angle a1 (in reversed direction) pnts = np.concatenate([q1, q2, q1[0].reshape(1, 3)]) # adds points and ensures that path starts and ends at same point mfill = VMobject().set_color(ORANGE) mfill.set_points_as_corners(pnts).set_fill(GREEN, opacity=1) self.add(l1, l2) self.add(mfill)
class FilledAngle(Scene): def construct(self): l1 = Line(ORIGIN, 2 * UP + RIGHT).set_color(GREEN) l2 = ( Line(ORIGIN, 2 * UP + RIGHT) .set_color(GREEN) .rotate(-20 * DEGREES, about_point=ORIGIN) ) norm = l1.get_length() a1 = Angle(l1, l2, other_angle=True, radius=norm - 0.5).set_color(GREEN) a2 = Angle(l1, l2, other_angle=True, radius=norm).set_color(GREEN) q1 = a1.points # save all coordinates of points of angle a1 q2 = a2.reverse_direction().points # save all coordinates of points of angle a1 (in reversed direction) pnts = np.concatenate([q1, q2, q1[0].reshape(1, 3)]) # adds points and ensures that path starts and ends at same point mfill = VMobject().set_color(ORANGE) mfill.set_points_as_corners(pnts).set_fill(GREEN, opacity=1) self.add(l1, l2) self.add(mfill)
Methods
The angle between the lines AB and BC.
Get the lines forming an angle of the
Angle
class.Get the value of an angle of the
Angle
class.Attributes
animate
Used to animate the application of any method of
self
.animation_overrides
color
depth
The depth of the mobject.
fill_color
If there are multiple colors (for gradient) this returns the first one
height
The height of the mobject.
n_points_per_curve
sheen_factor
stroke_color
width
The width of the mobject.
- _original__init__(line1, line2, radius=None, quadrant=(1, 1), other_angle=False, dot=False, dot_radius=None, dot_distance=0.55, dot_color=ManimColor('#FFFFFF'), elbow=False, **kwargs)#
Initialize self. See help(type(self)) for accurate signature.
- static from_three_points(A, B, C, **kwargs)[source]#
The angle between the lines AB and BC.
This constructs the angle \(\angle ABC\).
- Parameters:
A (Point3D) – The endpoint of the first angle leg
B (Point3D) – The vertex of the angle
C (Point3D) – The endpoint of the second angle leg
**kwargs – Further keyword arguments are passed to
Angle
- Returns:
Angle(line1, line2, radius=0.5, quadrant=(-1,1), stroke_width=8), Angle(line1, line2, radius=0.7, quadrant=(-1,-1), color=RED, other_angle=True),
- Return type:
The Angle calculated from the three points
Examples
Example: AngleFromThreePointsExample ¶
from manim import * class AngleFromThreePointsExample(Scene): def construct(self): sample_angle = Angle.from_three_points(UP, ORIGIN, LEFT) red_angle = Angle.from_three_points(LEFT + UP, ORIGIN, RIGHT, radius=.8, quadrant=(-1,-1), color=RED, stroke_width=8, other_angle=True) self.add(red_angle, sample_angle)
class AngleFromThreePointsExample(Scene): def construct(self): sample_angle = Angle.from_three_points(UP, ORIGIN, LEFT) red_angle = Angle.from_three_points(LEFT + UP, ORIGIN, RIGHT, radius=.8, quadrant=(-1,-1), color=RED, stroke_width=8, other_angle=True) self.add(red_angle, sample_angle)
- get_lines()[source]#
Get the lines forming an angle of the
Angle
class.Examples
>>> line_1, line_2 = Line(ORIGIN, RIGHT), Line(ORIGIN, UR) >>> angle = Angle(line_1, line_2) >>> angle.get_lines() VGroup(Line, Line)
- get_value(degrees=False)[source]#
Get the value of an angle of the
Angle
class.- Parameters:
degrees (bool) – A boolean to decide the unit (deg/rad) in which the value of the angle is returned.
- Returns:
The value in degrees/radians of an angle of the
Angle
class.- Return type:
float
Examples
Example: GetValueExample ¶
from manim import * class GetValueExample(Scene): def construct(self): line1 = Line(LEFT+(1/3)*UP, RIGHT+(1/3)*DOWN) line2 = Line(DOWN+(1/3)*RIGHT, UP+(1/3)*LEFT) angle = Angle(line1, line2, radius=0.4) value = DecimalNumber(angle.get_value(degrees=True), unit="^{\circ}") value.next_to(angle, UR) self.add(line1, line2, angle, value)
class GetValueExample(Scene): def construct(self): line1 = Line(LEFT+(1/3)*UP, RIGHT+(1/3)*DOWN) line2 = Line(DOWN+(1/3)*RIGHT, UP+(1/3)*LEFT) angle = Angle(line1, line2, radius=0.4) value = DecimalNumber(angle.get_value(degrees=True), unit="^{\circ}") value.next_to(angle, UR) self.add(line1, line2, angle, value)