last-1 review

3 files changed, 22 insertions, 8 deletions

diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.gif b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.gif
index 858a8de..3f7ecd1 100644
--- a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.gif
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.gif
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.py
index 7ab8908..45058d7 100644
--- a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.py
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file1_simple_visualization.py
@@ -32,6 +32,8 @@ class randomcurve(GraphScene):
         dot6 = Dot(tgt6.get_start(), color = RED)
         dot7 = Dot(tgt7.get_start(), color = RED)
 
+        arc = ArcBetweenPoints(dot1.get_center(), dot2.get_center(), color = GREEN_SCREEN, angle = 10*DEGREES).rotate(180*DEGREES)
+
         dots = VGroup(*[dot1, dot2, dot3, dot4, dot5, dot6, dot7])
 
         ds = CurvedArrow((-4, 2, 0), (tgt1.get_start() + tgt2.get_start()) / 2, color = YELLOW)
@@ -43,15 +45,13 @@ class randomcurve(GraphScene):
         self.wait(2)
         self.play(FadeOut(intro))
         self.setup_axes(hideaxes=False)
-        self.play(ShowCreation(graphobj), FadeIn(dots), FadeIn(ds), FadeIn(ds_text))
+        self.play(ShowCreation(graphobj), FadeIn(dots), FadeIn(ds), FadeIn(ds_text), FadeIn(arc))
         self.wait(1)
-        self.play(FadeOut(self.axes), FadeOut(graphobj),FadeIn(mid), FadeOut(dots), FadeOut(ds), FadeOut(ds_text))
-        self.wait(2)
+        self.play(FadeOut(self.axes), FadeOut(arc), FadeOut(graphobj),FadeIn(mid), FadeOut(dots), FadeOut(ds), FadeOut(ds_text))
+        self.wait(3)
         self.play(FadeOut(mid))
         self.play(FadeIn(self.axes), FadeIn(graphobj), FadeIn(dots))
 
-
-
         tangents = [tgt1, tgt2, tgt3, tgt4, tgt5, tgt6, tgt7]
         for tangent in tangents:
             self.play(ShowCreation(tangent), run_time = 0.2)
@@ -60,7 +60,7 @@ class randomcurve(GraphScene):
         self.play(FadeOut(self.axes), FadeOut(graphobj), FadeOut(tangents), FadeOut(dots))
         self.wait(1)
         self.play(FadeIn(outro))
-        self.wait(2)
+        self.wait(3)
         self.play(FadeOut(outro))
         self.wait(1)
 
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file4_different_curvature_single_curve.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file4_different_curvature_single_curve.py
index d71adda..3ecd57c 100644
--- a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file4_different_curvature_single_curve.py
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/arc-length-and-curvature/file4_different_curvature_single_curve.py
@@ -47,10 +47,24 @@ class GR(GraphScene):
             line.move_to(p0)
             return line
 
+        circle1 = Circle(radius = 0.8, color = GREY, opacity = 0.2).shift(2.2*UP)
+        tgt1 = Line((-2,3,0), (2,3,0), color = GREY, opacity = 0.2).scale(0.4)
+
+        curvature1 = VGroup(*[circle1, tgt1])
+
+        circle2 = Circle(radius = 0.6, color = GREY, opacity = 0.2).shift(0.4*DOWN + 4*RIGHT)
+        tgt2 = Line((4,-2,0), (6, -2, 0), color = GREY, opacity = 0.2).scale(0.5).shift(LEFT + UP)
+
+        curvature2 = VGroup(*[circle2, tgt2])
+
         line = always_redraw(get_tangent_line)
 
         self.add(graph,line, dots, text)
         self.wait(1.2)
-        self.play(tracker.set_value, 6, rate_func=smooth, run_time=13)
-        self.play(FadeOut(VGroup(*[graph, self.axes, line, dots, text])))
+        self.play(tracker.set_value, 0, rate_func=smooth, run_time=5)
+        self.play(FadeIn(curvature1))
+        self.play(tracker.set_value, 4, rate_func=smooth, run_time=5)
+        self.play(FadeIn(curvature2))
+        self.play(tracker.set_value, 6, rate_func=smooth, run_time=3)
+        self.play(FadeOut(VGroup(*[curvature1, curvature2, graph, self.axes, line, dots, text])))
         self.wait()