1 files changed, 33 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file3_tangent_space_curve.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file3_tangent_space_curve.py
new file mode 100644
index 0000000..c3aecc6
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file3_tangent_space_curve.py
@@ -0,0 +1,33 @@
+from manimlib.imports import *
+
+class tangent(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes()
+        text = TextMobject(r'Tangent', r' to the ', 'space curve', r' \\ at point ', r'$P_{1}$', ' is given by:').scale(0.7).shift(3*UP + 3.5*LEFT)
+        text.set_color_by_tex_to_color_map({
+            "Tangent": YELLOW,
+            '$P_{1}$': RED,
+            'space curve': BLUE
+        })
+        text.bg=BackgroundRectangle(text,fill_opacity=1, color = BLACK)
+        text_gr =VGroup(text.bg,text)
+        self.set_camera_orientation(phi = 125*DEGREES, theta = 135*DEGREES)
+        h = ParametricFunction(
+            lambda t: np.array([
+                4*(t**3) + 5,
+                t**2 + 2*(t**4),
+                -2*np.log(2*t)
+            ]), t_min = -3, t_max = 1.18, color = BLUE
+        ).shift(5*LEFT)
+        tgtR = Line((4,3,-2*np.log(2)), (19.5, 16, -4.772588), color=YELLOW)
+        tgtL =Line((4,3,-2*np.log(2)), (-11.5, -10, 2), color=YELLOW)
+        dot = Dot((4,3,-2*np.log(2)), color=RED, radius=0.08)
+        dotl = TextMobject(r'$P_{1}$', color = RED).scale(0.7).shift(2*DOWN + 5*LEFT)
+        self.add_fixed_in_frame_mobjects(text_gr, dotl)
+        self.play(FadeIn(axes),FadeIn(h), FadeIn(dot), FadeIn(dotl))
+        self.wait(2)
+        self.play(FadeIn(tgtL), FadeIn(tgtR))
+        self.begin_ambient_camera_rotation(rate=0.2)
+        self.play(FadeOut(dotl))
+        self.wait(5)
+        self.play(FadeOut(axes), FadeOut(h), FadeOut(text_gr), FadeOut(dot), FadeOut(tgtL), FadeOut(tgtR))