1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
|
from manimlib.imports import*
class TangenttoSurface(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
#parabola: -x**2-y**2
p = ParametricSurface(
lambda u, v: np.array([
u,
v,
-u**2-v**2
]),v_min=-1,v_max=1,u_min=-1,u_max=1,checkerboard_colors=[BLUE_C,TEAL_D],
resolution=(20, 20)).scale(1).shift(1*RIGHT+2*UP)
self.set_camera_orientation(phi = 35 * DEGREES,theta = -40 * DEGREES )
r = Rectangle(side_length=2,side_breadth= 1, fill_color=PURPLE, fill_opacity=0.2).shift(ORIGIN-1+3*UP+2*RIGHT).scale(0.7) #---tangent plane along x axis
r_text = TextMobject("Tangent Plane along $x$ axis",color = '#FFE4E1').scale(0.6).to_corner(UL)
r2_text = TextMobject("Tangent Plane along $y$ axis",color = '#FFE4E1').scale(0.6).to_corner(UL)
a = Arrow(color = '#FFFFF0').shift(ORIGIN-1+3*UP+4*RIGHT).scale(0.5)
a2 = Arrow(color = '#FFFFF0').shift(ORIGIN+0.5+3*UP+RIGHT).scale(0.5)
a2.rotate(1.571) #----1.571 radian = 90 degrees
self.add(axes)
self.play(Write(p))
self.begin_ambient_camera_rotation(rate = 0.1)
self.add_fixed_in_frame_mobjects(r_text)
self.play(ShowCreation(r))
self.play(ShowCreation(a))
self.wait(1)
self.play(FadeOut(r),FadeOut(a),FadeOut(r_text))
r.rotate(1.571) #---tangent plane along y axis
self.play(ShowCreation(r))
self.play(ShowCreation(a2))
self.add_fixed_in_frame_mobjects(r2_text)
self.wait(2)
|
