def construct(self):
title = TextMobject("(A few) Fathers of Calculus")
title.to_edge(UP)
self.add(title)
men = Mobject()
for name in self.names:
image = ImageMobject(name, invert=False)
image.scale_to_fit_height(self.picture_height)
title = TextMobject(name)
title.scale(0.8)
title.next_to(image, DOWN)
image.add(title)
men.add(image)
men.arrange_submobjects(RIGHT, aligned_edge=UP)
men.shift(DOWN)
discover_brace = Brace(Mobject(*men[:3]), UP)
discover = discover_brace.get_text("Discovered it")
VGroup(discover_brace, discover).highlight(BLUE)
rigor_brace = Brace(Mobject(*men[3:]), UP)
rigor = rigor_brace.get_text("Made it rigorous")
rigor.shift(0.1 * DOWN)
VGroup(rigor_brace, rigor).highlight(YELLOW)
for man in men:
self.play(FadeIn(man))
self.play(GrowFromCenter(discover_brace), Write(discover, run_time=1))
self.play(GrowFromCenter(rigor_brace), Write(rigor, run_time=1))
self.dither()
def show_pendulum(self, arc_angle = np.pi, arc_color = GREEN):
words = TextMobject(": Instantaneous center of rotation")
words.next_to(self.c_label)
line = Line(self.p_point, self.c_point)
line_angle = line.get_angle()+np.pi
line_length = line.get_length()
line.add(self.p_dot.copy())
line.get_center = lambda : self.c_point
tangent_line = Line(3*LEFT, 3*RIGHT)
tangent_line.rotate(line_angle-np.pi/2)
tangent_line.shift(self.p_point)
tangent_line.highlight(arc_color)
right_angle_symbol = Mobject(
Line(UP, UP+RIGHT),
Line(UP+RIGHT, RIGHT)
)
right_angle_symbol.scale(0.3)
right_angle_symbol.rotate(tangent_line.get_angle()+np.pi)
right_angle_symbol.shift(self.p_point)
self.play(ShowCreation(line))
self.play(ShimmerIn(words))
self.dither()
pairs = [
(line_angle, arc_angle/2),
(line_angle+arc_angle/2, -arc_angle),
(line_angle-arc_angle/2, arc_angle/2),
]
arcs = []
for start, angle in pairs:
arc = Arc(
angle = angle,
radius = line_length,
start_angle = start,
color = GREEN
)
arc.shift(self.c_point)
self.play(
ShowCreation(arc),
ApplyMethod(
line.rotate_in_place,
angle,
path_func = path_along_arc(angle)
),
run_time = 2
)
arcs.append(arc)
self.dither()
self.play(Transform(arcs[1], tangent_line))
self.add(tangent_line)
self.play(ShowCreation(right_angle_symbol))
self.dither()
self.tangent_line = tangent_line
self.right_angle_symbol = right_angle_symbol
self.pc_line = line
self.remove(words, *arcs)
def show_pendulum(self, arc_angle = np.pi, arc_color = GREEN):
words = TextMobject(": Instantaneous center of rotation")
words.next_to(self.c_label)
line = Line(self.p_point, self.c_point)
line_angle = line.get_angle()+np.pi
line_length = line.get_length()
line.add(self.p_dot.copy())
line.get_center = lambda : self.c_point
tangent_line = Line(3*LEFT, 3*RIGHT)
tangent_line.rotate(line_angle-np.pi/2)
tangent_line.shift(self.p_point)
tangent_line.highlight(arc_color)
right_angle_symbol = Mobject(
Line(UP, UP+RIGHT),
Line(UP+RIGHT, RIGHT)
)
right_angle_symbol.scale(0.3)
right_angle_symbol.rotate(tangent_line.get_angle()+np.pi)
right_angle_symbol.shift(self.p_point)
self.play(ShowCreation(line))
self.play(ShimmerIn(words))
self.wait()
pairs = [
(line_angle, arc_angle/2),
(line_angle+arc_angle/2, -arc_angle),
(line_angle-arc_angle/2, arc_angle/2),
]
arcs = []
for start, angle in pairs:
arc = Arc(
angle = angle,
radius = line_length,
start_angle = start,
color = GREEN
)
arc.shift(self.c_point)
self.play(
ShowCreation(arc),
ApplyMethod(
line.rotate_in_place,
angle,
path_func = path_along_arc(angle)
),
run_time = 2
)
arcs.append(arc)
self.wait()
self.play(Transform(arcs[1], tangent_line))
self.add(tangent_line)
self.play(ShowCreation(right_angle_symbol))
self.wait()
self.tangent_line = tangent_line
self.right_angle_symbol = right_angle_symbol
self.pc_line = line
self.remove(words, *arcs)
def play(self, *args, **kwargs):
if not self.has_started:
self.has_started = True
everything = Mobject(*self.mobjects)
vect = 2 * SPACE_WIDTH * RIGHT
everything.shift(vect)
self.play(ApplyMethod(everything.shift, -vect,
rate_func=rush_from))
Scene.play(self, *args, **kwargs)
def play(self, *args, **kwargs):
if not self.has_started:
self.has_started = True
everything = Mobject(*self.mobjects)
vect = 2*SPACE_WIDTH*RIGHT
everything.shift(vect)
self.play(ApplyMethod(
everything.shift, -vect,
rate_func = rush_from
))
Scene.play(self, *args, **kwargs)
def construct(self):
randy = Randolph()
randy.scale(RANDY_SCALE_VAL)
randy.shift(-randy.get_bottom())
self.add_cycloid_end_points()
arrow = Arrow(ORIGIN, 2*RIGHT)
arrows = Mobject(*[
arrow.copy().shift(vect)
for vect in 3*LEFT, ORIGIN, 3*RIGHT
])
arrows.shift(2*SPACE_WIDTH*RIGHT)
self.add(arrows)
self.add(self.cycloid)
self.slide(randy, self.cycloid)
everything = Mobject(*self.mobjects)
self.play(ApplyMethod(
everything.shift, 4*SPACE_WIDTH*LEFT,
run_time = 2,
rate_func = rush_into
))
def construct(self):
word = TextMobject(["Bra", "chis", "to", "chrone"])
original_word = word.copy()
dots = []
for part in word.split():
if dots:
part.next_to(dots[-1], buff=0.06)
dot = TexMobject("\\cdot")
dot.next_to(part, buff=0.06)
dots.append(dot)
dots = Mobject(*dots[:-1])
dots.shift(0.1 * DOWN)
Mobject(word, dots).center()
overbrace1 = Brace(Mobject(*word.split()[:-1]), UP)
overbrace2 = Brace(word.split()[-1], UP)
shortest = TextMobject("Shortest")
shortest.next_to(overbrace1, UP)
shortest.highlight(YELLOW)
time = TextMobject("Time")
time.next_to(overbrace2, UP)
time.highlight(YELLOW)
chrono_example = TextMobject("""
As in ``Chronological'' \\\\
or ``Synchronize''
""")
chrono_example.scale(0.5)
chrono_example.to_edge(RIGHT)
chrono_example.shift(2 * UP)
chrono_example.highlight(BLUE_D)
chrono_arrow = Arrow(word.get_right(),
chrono_example.get_bottom(),
color=BLUE_D)
brachy_example = TextMobject("As in . . . brachydactyly?")
brachy_example.scale(0.5)
brachy_example.to_edge(LEFT)
brachy_example.shift(2 * DOWN)
brachy_example.highlight(GREEN)
brachy_arrow = Arrow(word.get_left(),
brachy_example.get_top(),
color=GREEN)
pronunciation = TextMobject(
["/br", "e", "kist", "e", "kr$\\bar{o}$n/"])
pronunciation.split()[1].rotate_in_place(np.pi)
pronunciation.split()[3].rotate_in_place(np.pi)
pronunciation.scale(0.7)
pronunciation.shift(DOWN)
latin = TextMobject(list("Latin"))
greek = TextMobject(list("Greek"))
for mob in latin, greek:
mob.to_edge(LEFT)
question_mark = TextMobject("?").next_to(greek, buff=0.1)
stars = Stars().highlight(BLACK)
stars.scale(0.5).shift(question_mark.get_center())
self.play(Transform(original_word, word), ShowCreation(dots))
self.play(ShimmerIn(pronunciation))
self.dither()
self.play(GrowFromCenter(overbrace1), GrowFromCenter(overbrace2))
self.dither()
self.play(ShimmerIn(latin))
self.play(FadeIn(question_mark))
self.play(Transform(latin, greek, path_func=counterclockwise_path()))
self.dither()
self.play(Transform(question_mark, stars))
self.remove(stars)
self.dither()
self.play(ShimmerIn(shortest))
self.play(ShimmerIn(time))
for ex, ar in [(chrono_example, chrono_arrow),
(brachy_example, brachy_arrow)]:
self.play(ShowCreation(ar), ShimmerIn(ex))
self.dither()
def construct(self):
word = TextMobject(["Bra", "chis", "to", "chrone"])
original_word = word.copy()
dots = []
for part in word.split():
if dots:
part.next_to(dots[-1], buff = 0.06)
dot = TexMobject("\\cdot")
dot.next_to(part, buff = 0.06)
dots.append(dot)
dots = Mobject(*dots[:-1])
dots.shift(0.1*DOWN)
Mobject(word, dots).center()
overbrace1 = Brace(Mobject(*word.split()[:-1]), UP)
overbrace2 = Brace(word.split()[-1], UP)
shortest = TextMobject("Shortest")
shortest.next_to(overbrace1, UP)
shortest.highlight(YELLOW)
time = TextMobject("Time")
time.next_to(overbrace2, UP)
time.highlight(YELLOW)
chrono_example = TextMobject("""
As in ``Chronological'' \\\\
or ``Synchronize''
""")
chrono_example.scale(0.5)
chrono_example.to_edge(RIGHT)
chrono_example.shift(2*UP)
chrono_example.highlight(BLUE_D)
chrono_arrow = Arrow(
word.get_right(),
chrono_example.get_bottom(),
color = BLUE_D
)
brachy_example = TextMobject("As in . . . brachydactyly?")
brachy_example.scale(0.5)
brachy_example.to_edge(LEFT)
brachy_example.shift(2*DOWN)
brachy_example.highlight(GREEN)
brachy_arrow = Arrow(
word.get_left(),
brachy_example.get_top(),
color = GREEN
)
pronunciation = TextMobject(["/br", "e", "kist","e","kr$\\bar{o}$n/"])
pronunciation.split()[1].rotate_in_place(np.pi)
pronunciation.split()[3].rotate_in_place(np.pi)
pronunciation.scale(0.7)
pronunciation.shift(DOWN)
latin = TextMobject(list("Latin"))
greek = TextMobject(list("Greek"))
for mob in latin, greek:
mob.to_edge(LEFT)
question_mark = TextMobject("?").next_to(greek, buff = 0.1)
stars = Stars().highlight(BLACK)
stars.scale(0.5).shift(question_mark.get_center())
self.play(Transform(original_word, word), ShowCreation(dots))
self.play(ShimmerIn(pronunciation))
self.dither()
self.play(
GrowFromCenter(overbrace1),
GrowFromCenter(overbrace2)
)
self.dither()
self.play(ShimmerIn(latin))
self.play(FadeIn(question_mark))
self.play(Transform(
latin, greek,
path_func = counterclockwise_path()
))
self.dither()
self.play(Transform(question_mark, stars))
self.remove(stars)
self.dither()
self.play(ShimmerIn(shortest))
self.play(ShimmerIn(time))
for ex, ar in [(chrono_example, chrono_arrow), (brachy_example, brachy_arrow)]:
self.play(
ShowCreation(ar),
ShimmerIn(ex)
)
self.dither()