[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:59.17,0:01:01.49,Default,,0000,0000,0000,,Very strange.
Dialogue: 0,0:01:13.23,0:01:16.78,Default,,0000,0000,0000,,Huh, that's an odd-looking creature
Dialogue: 0,0:01:27.95,0:01:31.72,Default,,0000,0000,0000,,What kind of a crazy place is this?
Dialogue: 0,0:01:45.52,0:01:49.14,Default,,0000,0000,0000,,Well, what do you know? Square roots!
Dialogue: 0,0:01:51.26,0:01:59.78,Default,,0000,0000,0000,,Pi is equal to 3.141592653589747 etc. etc. etc.
Dialogue: 0,0:02:01.54,0:02:04.71,Default,,0000,0000,0000,,Hello? (echo)
Dialogue: 0,0:02:06.10,0:02:07.89,Default,,0000,0000,0000,,Hello, Donald.
Dialogue: 0,0:02:08.06,0:02:11.40,Default,,0000,0000,0000,,That's me! Where am I?!
Dialogue: 0,0:02:11.40,0:02:13.84,Default,,0000,0000,0000,,Mathmagic land.
Dialogue: 0,0:02:13.84,0:02:17.41,Default,,0000,0000,0000,,Mathmagic land? Never heard of it.
Dialogue: 0,0:02:17.64,0:02:20.88,Default,,0000,0000,0000,,It's the land of great adventure.
Dialogue: 0,0:02:20.88,0:02:23.05,Default,,0000,0000,0000,,Well, who are you?
Dialogue: 0,0:02:23.05,0:02:27.08,Default,,0000,0000,0000,,I'm a spirit, the true spirit of adventure.
Dialogue: 0,0:02:27.08,0:02:29.79,Default,,0000,0000,0000,,That's for me! What's next?
Dialogue: 0,0:02:29.79,0:02:32.97,Default,,0000,0000,0000,,A journey through the wonderland of mathematics.
Dialogue: 0,0:02:32.97,0:02:36.56,Default,,0000,0000,0000,,Mathematics? That's for eggheads!
Dialogue: 0,0:02:36.56,0:02:39.14,Default,,0000,0000,0000,,Eggheads? Now hold on, Donald.
Dialogue: 0,0:02:39.14,0:02:41.65,Default,,0000,0000,0000,,You like music don't you?
Dialogue: 0,0:02:41.79,0:02:42.73,Default,,0000,0000,0000,,Yeah.
Dialogue: 0,0:02:42.76,0:02:46.17,Default,,0000,0000,0000,,Well, without eggheads, there would be no music.
Dialogue: 0,0:02:46.26,0:02:47.13,Default,,0000,0000,0000,,Bah.
Dialogue: 0,0:02:47.67,0:02:55.01,Default,,0000,0000,0000,,Come on, let's go to ancient Greece, to the time of Pythagoras, the master egghead of them all.
Dialogue: 0,0:02:55.01,0:02:56.22,Default,,0000,0000,0000,,Pythagoras?
Dialogue: 0,0:02:56.22,0:02:58.51,Default,,0000,0000,0000,,The father of mathematics and music.
Dialogue: 0,0:02:58.51,0:03:00.44,Default,,0000,0000,0000,,Mathematics and music?
Dialogue: 0,0:03:00.44,0:03:04.62,Default,,0000,0000,0000,,Ahh, you'll find mathematics in the darndest places.
Dialogue: 0,0:03:05.27,0:03:06.44,Default,,0000,0000,0000,,Watch
Dialogue: 0,0:03:07.20,0:03:08.75,Default,,0000,0000,0000,,First we'll need a string
Dialogue: 0,0:03:08.75,0:03:09.70,Default,,0000,0000,0000,,Hey!
Dialogue: 0,0:03:10.06,0:03:13.14,Default,,0000,0000,0000,,Stretch it good and tight; pluck it!
Dialogue: 0,0:03:14.05,0:03:17.18,Default,,0000,0000,0000,,Now divide in half. Pluck again.
Dialogue: 0,0:03:18.01,0:03:21.95,Default,,0000,0000,0000,,You see? It's the same tone, one octave higher.
Dialogue: 0,0:03:21.95,0:03:24.51,Default,,0000,0000,0000,,Now divide the next section.
Dialogue: 0,0:03:24.57,0:03:26.64,Default,,0000,0000,0000,,And the next.
Dialogue: 0,0:03:26.64,0:03:31.69,Default,,0000,0000,0000,,Pythagoras discovered the octave had a ratio of two to one.
Dialogue: 0,0:03:31.69,0:03:39.48,Default,,0000,0000,0000,,With simple fractions, he got this [major triad]
Dialogue: 0,0:03:39.48,0:03:47.67,Default,,0000,0000,0000,,And from this harmony in numbers, developed the musical scale of today. [major scale]
Dialogue: 0,0:03:49.30,0:03:54.79,Default,,0000,0000,0000,,By golly, you DO find mathematics in the darndest places.
Dialogue: 0,0:03:55.25,0:03:57.74,Default,,0000,0000,0000,,You can imagine how excited Pythagoras was,
Dialogue: 0,0:03:57.74,0:04:03.38,Default,,0000,0000,0000,,when he shared his findings with his pals and fraternity of eggheads, known as the Pythagoreans.
Dialogue: 0,0:04:03.88,0:04:08.57,Default,,0000,0000,0000,,They used to be meet in secret to discuss their mathematical discoveries.
Dialogue: 0,0:04:08.57,0:04:11.34,Default,,0000,0000,0000,,Only members were allowed to attend.
Dialogue: 0,0:04:11.34,0:04:15.50,Default,,0000,0000,0000,,They had a secret emblem, the pentagram.
Dialogue: 0,0:04:18.89,0:04:22.13,Default,,0000,0000,0000,,Let's see what the topic is for today.
Dialogue: 0,0:04:22.47,0:04:26.23,Default,,0000,0000,0000,,[major scale]
Dialogue: 0,0:04:45.66,0:04:48.23,Default,,0000,0000,0000,,[music]
Dialogue: 0,0:04:48.98,0:04:50.98,Default,,0000,0000,0000,,What's going on?
Dialogue: 0,0:04:50.98,0:04:53.40,Default,,0000,0000,0000,,Shh! It's a jam session.
Dialogue: 0,0:04:55.35,0:04:57.50,Default,,0000,0000,0000,,Gimme something with a beat!
Dialogue: 0,0:04:57.50,0:04:58.60,Default,,0000,0000,0000,,Shhh!
Dialogue: 0,0:04:59.31,0:05:02.28,Default,,0000,0000,0000,,[percussion]
Dialogue: 0,0:05:31.03,0:05:34.04,Default,,0000,0000,0000,,So from these eggheads, the Pythagoreans,
Dialogue: 0,0:05:34.04,0:05:36.10,Default,,0000,0000,0000,,with their mathematical formula
Dialogue: 0,0:05:36.10,0:05:38.76,Default,,0000,0000,0000,,came the basis of our music of today.
Dialogue: 0,0:05:38.76,0:05:42.18,Default,,0000,0000,0000,,[big band]
Dialogue: 0,0:07:06.49,0:07:09.38,Default,,0000,0000,0000,,Pythag, old boy, put her there
Dialogue: 0,0:07:12.84,0:07:17.71,Default,,0000,0000,0000,,Now I'll be a goshdarned egghead [laugh]
Dialogue: 0,0:07:17.71,0:07:24.25,Default,,0000,0000,0000,,It was our old friend Pythagoras who discovered that the pentagram was full of mathemagic.
Dialogue: 0,0:07:26.87,0:07:31.70,Default,,0000,0000,0000,,The two shorter lines combined exactly equal the third
Dialogue: 0,0:07:31.70,0:07:36.29,Default,,0000,0000,0000,,and this line shows the magic proportions of the famous golden section
Dialogue: 0,0:07:37.03,0:07:40.56,Default,,0000,0000,0000,,The second and third lines exactly equal the fourth
Dialogue: 0,0:07:40.56,0:07:43.80,Default,,0000,0000,0000,,Once again we have the golden section
Dialogue: 0,0:07:44.83,0:07:47.22,Default,,0000,0000,0000,,But this is only the beginning
Dialogue: 0,0:07:47.22,0:07:49.24,Default,,0000,0000,0000,,Hidden within the pentagram
Dialogue: 0,0:07:49.24,0:07:52.34,Default,,0000,0000,0000,,is a secret for creating a golden rectangle
Dialogue: 0,0:07:52.34,0:07:58.06,Default,,0000,0000,0000,,which the Greeks admired for its beautiful proportions and magic qualities
Dialogue: 0,0:07:58.06,0:08:02.27,Default,,0000,0000,0000,,The star contains the golden rectangle many times over
Dialogue: 0,0:08:29.28,0:08:31.68,Default,,0000,0000,0000,,It's a most remarkable shape
Dialogue: 0,0:08:31.68,0:08:35.27,Default,,0000,0000,0000,,It can mathematically reproduce itself indefinitely
Dialogue: 0,0:08:40.16,0:08:43.96,Default,,0000,0000,0000,,All these rectangles have exactly the same proportions
Dialogue: 0,0:08:51.27,0:08:54.32,Default,,0000,0000,0000,,This figure also contains a magic spiral
Dialogue: 0,0:08:54.32,0:08:59.26,Default,,0000,0000,0000,,that repeats the proportions of the golden section into infinity
Dialogue: 0,0:09:00.41,0:09:05.56,Default,,0000,0000,0000,,To the Greeks, the golden rectangle represented a mathematical law of beauty
Dialogue: 0,0:09:05.56,0:09:08.99,Default,,0000,0000,0000,,We find it in their classical architecture
Dialogue: 0,0:09:08.99,0:09:13.20,Default,,0000,0000,0000,,The Parthenon, perhaps one of the most famous of early Greek buildings,
Dialogue: 0,0:09:13.20,0:09:15.71,Default,,0000,0000,0000,,contains many golden rectangles.
Dialogue: 0,0:09:38.48,0:09:42.33,Default,,0000,0000,0000,,These same golden proportions are also found in their sculpture.
Dialogue: 0,0:09:59.10,0:10:00.88,Default,,0000,0000,0000,,In the centuries that followed
Dialogue: 0,0:10:00.88,0:10:06.66,Default,,0000,0000,0000,,the golden rectangle dominated the idea of beauty in architecture throughout the Western world.
Dialogue: 0,0:10:06.66,0:10:10.72,Default,,0000,0000,0000,,The Cathedral of Notre Dame is an outstanding example.
Dialogue: 0,0:10:12.58,0:10:15.62,Default,,0000,0000,0000,,The Renaissance painters knew this secret well.
Dialogue: 0,0:10:21.30,0:10:25.96,Default,,0000,0000,0000,,Today, the golden rectangle is very much a part of our modern world.
Dialogue: 0,0:10:30.54,0:10:34.46,Default,,0000,0000,0000,,Modern painters have rediscovered the magic of these proportions.
Dialogue: 0,0:10:38.23,0:10:42.18,Default,,0000,0000,0000,,Indeed, this ideal proportion is to be found in life itself.
Dialogue: 0,0:10:42.38,0:10:44.83,Default,,0000,0000,0000,,Boy, oh boy, oh boy!
Dialogue: 0,0:10:45.20,0:10:50.43,Default,,0000,0000,0000,,This is mathematics? I like mathematical figures like that.
Dialogue: 0,0:10:50.43,0:10:52.43,Default,,0000,0000,0000,,Ah, ah, ah, Donald.
Dialogue: 0,0:10:52.43,0:10:53.75,Default,,0000,0000,0000,,Let me try it!
Dialogue: 0,0:10:53.75,0:10:54.66,Default,,0000,0000,0000,,No, no.
Dialogue: 0,0:10:54.66,0:10:56.36,Default,,0000,0000,0000,,Ideal proportion
Dialogue: 0,0:10:56.88,0:10:58.18,Default,,0000,0000,0000,,Not quite
Dialogue: 0,0:10:59.52,0:11:01.99,Default,,0000,0000,0000,,Uh uh. No, I'm afraid not.
Dialogue: 0,0:11:04.65,0:11:07.31,Default,,0000,0000,0000,,Well, we can't all be mathematically perfect.
Dialogue: 0,0:11:07.31,0:11:08.46,Default,,0000,0000,0000,,Oh yeah?
Dialogue: 0,0:11:11.23,0:11:13.83,Default,,0000,0000,0000,,There, I knew I could do it.
Dialogue: 0,0:11:14.02,0:11:16.47,Default,,0000,0000,0000,,Now that you're all pent up in a pentagon
Dialogue: 0,0:11:16.47,0:11:20.42,Default,,0000,0000,0000,,let's see how nature uses the same mathematical form.
Dialogue: 0,0:11:20.68,0:11:21.91,Default,,0000,0000,0000,,The petunia
Dialogue: 0,0:11:25.12,0:11:26.64,Default,,0000,0000,0000,,The star jasmine
Dialogue: 0,0:11:31.10,0:11:32.51,Default,,0000,0000,0000,,The starfish
Dialogue: 0,0:11:37.12,0:11:38.53,Default,,0000,0000,0000,,The wax flower
Dialogue: 0,0:11:43.76,0:11:46.81,Default,,0000,0000,0000,,There are literally thousands of members in good standing
Dialogue: 0,0:11:46.81,0:11:50.41,Default,,0000,0000,0000,,in nature's Pythagorean society of the star.
Dialogue: 0,0:11:57.87,0:12:00.92,Default,,0000,0000,0000,,All nature's works have a mathematical logic
Dialogue: 0,0:12:00.92,0:12:02.94,Default,,0000,0000,0000,,and her patterns are limitless.
Dialogue: 0,0:12:27.34,0:12:30.00,Default,,0000,0000,0000,,The magic proportions of the golden section
Dialogue: 0,0:12:30.00,0:12:33.41,Default,,0000,0000,0000,,are often found in the spirals of nature's designs.
Dialogue: 0,0:12:49.15,0:12:54.09,Default,,0000,0000,0000,,The profusion of mathematical forms brings to mind the words of Pythagoras:
Dialogue: 0,0:12:54.09,0:12:58.88,Default,,0000,0000,0000,,"Everything is arranged according to number and mathematical shape."
Dialogue: 0,0:12:59.56,0:13:02.36,Default,,0000,0000,0000,,Yes, there is mathematics in music,
Dialogue: 0,0:13:02.36,0:13:05.03,Default,,0000,0000,0000,,in art, in just about everything.
Dialogue: 0,0:13:05.17,0:13:09.48,Default,,0000,0000,0000,,And as as the Greeks had guessed, the rules are always the same.
Dialogue: 0,0:13:36.68,0:13:40.00,Default,,0000,0000,0000,,Well, Donald, did you enjoy your geometrical journey?
Dialogue: 0,0:13:40.00,0:13:45.22,Default,,0000,0000,0000,,Gee, Mr. Spirit, there's a lot more to mathematics than two times two!
Dialogue: 0,0:13:45.22,0:13:46.44,Default,,0000,0000,0000,,That's right, Donald
Dialogue: 0,0:13:46.44,0:13:49.11,Default,,0000,0000,0000,,And you can find mathematics in games, too!
Dialogue: 0,0:13:49.11,0:13:51.15,Default,,0000,0000,0000,,Games! Oh, boy!
Dialogue: 0,0:13:51.63,0:13:54.67,Default,,0000,0000,0000,,Let's begin with a game that's played on squares.
Dialogue: 0,0:13:54.67,0:13:55.78,Default,,0000,0000,0000,,Checkers?
Dialogue: 0,0:13:55.78,0:13:57.06,Default,,0000,0000,0000,,No, chess.
Dialogue: 0,0:13:57.06,0:13:58.22,Default,,0000,0000,0000,,Chess?!
Dialogue: 0,0:13:58.22,0:14:01.34,Default,,0000,0000,0000,,A mathematical contest between two minds.
Dialogue: 0,0:14:01.35,0:14:05.80,Default,,0000,0000,0000,,It's a game that has been enjoyed for centuries by kings and commoners.
Dialogue: 0,0:14:05.80,0:14:10.27,Default,,0000,0000,0000,,In fact, Louis Carroll, a famous mathematician with a literary mind,
Dialogue: 0,0:14:10.27,0:14:15.78,Default,,0000,0000,0000,,used chess as a setting for his classic tale, Through the Looking Glass.
Dialogue: 0,0:14:16.20,0:14:22.07,Default,,0000,0000,0000,,Alice found herself face to face with a none-too-friendly group of chess pieces.
Dialogue: 0,0:14:22.07,0:14:24.94,Default,,0000,0000,0000,,Good heavens, what's this?
Dialogue: 0,0:14:25.12,0:14:28.90,Default,,0000,0000,0000,,Upon my soul, it appears to be a lost pawn!
Dialogue: 0,0:14:29.05,0:14:31.87,Default,,0000,0000,0000,,I'm no pawn, I'm Donald Duck!
Dialogue: 0,0:14:31.92,0:14:34.23,Default,,0000,0000,0000,,He says he's Donald Duck!
Dialogue: 0,0:14:34.38,0:14:36.16,Default,,0000,0000,0000,,Preposterous!
Dialogue: 0,0:14:36.27,0:14:38.27,Default,,0000,0000,0000,,Or, it could be an Alice.
Dialogue: 0,0:14:38.27,0:14:39.29,Default,,0000,0000,0000,,Alice?!
Dialogue: 0,0:14:39.29,0:14:42.13,Default,,0000,0000,0000,,No, no no. It's a lost pawn.
Dialogue: 0,0:14:42.67,0:14:46.58,Default,,0000,0000,0000,,Lost pawn? Stop that pawn!
Dialogue: 0,0:14:46.58,0:14:50.64,Default,,0000,0000,0000,,Ow, Mr. Spirit! Help, help, help!
Dialogue: 0,0:15:10.74,0:15:13.03,Default,,0000,0000,0000,,Whew, that was close!
Dialogue: 0,0:15:13.03,0:15:16.34,Default,,0000,0000,0000,,Now you can look at this game from a safer perspective.
Dialogue: 0,0:15:22.26,0:15:25.05,Default,,0000,0000,0000,,Chess is a game of calculated strategy,
Dialogue: 0,0:15:25.05,0:15:27.55,Default,,0000,0000,0000,,and since the board is geometrical,
Dialogue: 0,0:15:27.55,0:15:29.74,Default,,0000,0000,0000,,the moves are mathematical.
Dialogue: 0,0:15:53.15,0:15:55.84,Default,,0000,0000,0000,,Checkmate, and the game is over.
Dialogue: 0,0:15:55.84,0:15:59.57,Default,,0000,0000,0000,,That's very interesting. What's next?
Dialogue: 0,0:15:59.57,0:16:03.32,Default,,0000,0000,0000,,Practically all games are played on geometrical areas.
Dialogue: 0,0:16:03.32,0:16:05.51,Default,,0000,0000,0000,,The baseball field is a diamond.
Dialogue: 0,0:16:05.51,0:16:06.70,Default,,0000,0000,0000,,Oh boy!
Dialogue: 0,0:16:12.80,0:16:16.01,Default,,0000,0000,0000,,And without mathematics, we couldn't even keep score.
Dialogue: 0,0:16:16.01,0:16:20.08,Default,,0000,0000,0000,,Football is played on a rectangle divided by yard lines.
Dialogue: 0,0:16:22.03,0:16:26.61,Default,,0000,0000,0000,,Basketball is a game of circles, spheres and rectangles.
Dialogue: 0,0:16:30.73,0:16:33.35,Default,,0000,0000,0000,,Even hopscotch has its multiple squares.
Dialogue: 0,0:16:44.15,0:16:45.43,Default,,0000,0000,0000,,What's next?
Dialogue: 0,0:16:45.97,0:16:47.13,Default,,0000,0000,0000,,Tiddlywinks?
Dialogue: 0,0:16:48.03,0:16:53.29,Default,,0000,0000,0000,,No, a mathematical game played on a field of two perfect squares
Dialogue: 0,0:16:53.29,0:16:55.68,Default,,0000,0000,0000,,using three perfect spheres
Dialogue: 0,0:16:55.68,0:16:57.63,Default,,0000,0000,0000,,and a lot of diamonds.
Dialogue: 0,0:16:57.63,0:16:59.72,Default,,0000,0000,0000,,In other words, billiards.
Dialogue: 0,0:16:59.72,0:17:02.61,Default,,0000,0000,0000,,Oh boy! That's for me!
Dialogue: 0,0:17:02.61,0:17:04.73,Default,,0000,0000,0000,,You know the game, don't you Donald?
Dialogue: 0,0:17:04.73,0:17:09.64,Default,,0000,0000,0000,,Of course, the cue ball has to hit the other two balls
Dialogue: 0,0:17:09.64,0:17:10.65,Default,,0000,0000,0000,,like this!
Dialogue: 0,0:17:16.06,0:17:20.14,Default,,0000,0000,0000,,Now let's see how an expert at three-cushion billiards uses his head.
Dialogue: 0,0:17:22.28,0:17:23.81,Default,,0000,0000,0000,,Three-cushion?
Dialogue: 0,0:17:23.81,0:17:27.66,Default,,0000,0000,0000,,Yes. The cue ball not only has to hit both the other balls,
Dialogue: 0,0:17:27.66,0:17:31.70,Default,,0000,0000,0000,,but it must contact at least three cushions before it hits the final ball.
Dialogue: 0,0:17:42.73,0:17:44.54,Default,,0000,0000,0000,,One, two, three
Dialogue: 0,0:17:58.31,0:18:00.18,Default,,0000,0000,0000,,One, two, three
Dialogue: 0,0:18:10.04,0:18:13.57,Default,,0000,0000,0000,,It takes an expert to make several shots in succession
Dialogue: 0,0:18:13.57,0:18:16.50,Default,,0000,0000,0000,,One, two, three, four
Dialogue: 0,0:18:18.30,0:18:19.56,Default,,0000,0000,0000,,five, six.
Dialogue: 0,0:18:21.70,0:18:24.49,Default,,0000,0000,0000,,Wow! That was a lucky shot!
Dialogue: 0,0:18:24.91,0:18:27.21,Default,,0000,0000,0000,,Luck? No. It's skill.
Dialogue: 0,0:18:27.87,0:18:30.64,Default,,0000,0000,0000,,For this game, you have to know all the angles.
Dialogue: 0,0:18:52.07,0:18:56.84,Default,,0000,0000,0000,,One, two, three, four, five, six, seven.
Dialogue: 0,0:18:57.61,0:19:00.84,Default,,0000,0000,0000,,That's amazing! How does he do it?
Dialogue: 0,0:19:00.84,0:19:02.91,Default,,0000,0000,0000,,First, there's technique.
Dialogue: 0,0:19:02.91,0:19:06.66,Default,,0000,0000,0000,,He's striking the cue ball low, so it'll spin backwards.
Dialogue: 0,0:19:11.02,0:19:14.86,Default,,0000,0000,0000,,Hitting the ball on the right side will make it hug the rail.
Dialogue: 0,0:19:14.86,0:19:17.47,Default,,0000,0000,0000,,These trick shots take a lot of practice.
Dialogue: 0,0:19:18.71,0:19:21.22,Default,,0000,0000,0000,,Hahaha! He missed that time!
Dialogue: 0,0:19:21.22,0:19:22.54,Default,,0000,0000,0000,,One, two...
Dialogue: 0,0:19:26.13,0:19:26.100,Default,,0000,0000,0000,,three.
Dialogue: 0,0:19:29.60,0:19:32.16,Default,,0000,0000,0000,,What's so mathematical about that?
Dialogue: 0,0:19:32.16,0:19:35.04,Default,,0000,0000,0000,,Oh, this game takes precise calculation.
Dialogue: 0,0:19:35.04,0:19:37.59,Default,,0000,0000,0000,,He figures out each shot in his head.
Dialogue: 0,0:19:38.67,0:19:42.70,Default,,0000,0000,0000,,He could play it like this, but it calls for quite a bit of luck.
Dialogue: 0,0:19:42.70,0:19:44.54,Default,,0000,0000,0000,,There is a better choice.
Dialogue: 0,0:19:44.54,0:19:49.36,Default,,0000,0000,0000,,For this, he uses the diamond markings on the rail as a mathematical guide.
Dialogue: 0,0:19:49.36,0:19:53.36,Default,,0000,0000,0000,,First, he figures the natural angle for hitting the object balls.
Dialogue: 0,0:19:53.36,0:19:57.67,Default,,0000,0000,0000,,And then he finds that his cue ball must bounce off the number three diamond.
Dialogue: 0,0:19:57.67,0:20:01.80,Default,,0000,0000,0000,,Next, he gets ready for the shot and he needs a number for his cue position.
Dialogue: 0,0:20:01.80,0:20:04.94,Default,,0000,0000,0000,,This calls for a different set of numbers.
Dialogue: 0,0:20:05.20,0:20:07.46,Default,,0000,0000,0000,,Very confusing, isn't it?
Dialogue: 0,0:20:07.84,0:20:09.89,Default,,0000,0000,0000,,Not when you get the hang of it.
Dialogue: 0,0:20:09.89,0:20:12.73,Default,,0000,0000,0000,,You see, the cue position is four.
Dialogue: 0,0:20:12.73,0:20:14.79,Default,,0000,0000,0000,,Now, a simple subtraction.
Dialogue: 0,0:20:14.79,0:20:16.58,Default,,0000,0000,0000,,Three from four is one.
Dialogue: 0,0:20:16.58,0:20:19.90,Default,,0000,0000,0000,,So, if he shoots for the first diamond, he should make it.
Dialogue: 0,0:20:19.90,0:20:22.46,Default,,0000,0000,0000,,It's called "playing the diamond system".
Dialogue: 0,0:20:27.54,0:20:29.44,Default,,0000,0000,0000,,Natural angle, 2.
Dialogue: 0,0:20:29.44,0:20:32.95,Default,,0000,0000,0000,,Cue position, one and a half, two, two and a half, three,
Dialogue: 0,0:20:33.23,0:20:34.41,Default,,0000,0000,0000,,three and a half.
Dialogue: 0,0:20:34.41,0:20:37.01,Default,,0000,0000,0000,,Two from three and a half is one and a half.
Dialogue: 0,0:20:37.01,0:20:41.33,Default,,0000,0000,0000,,So, shoot halfway between the first and second diamonds.
Dialogue: 0,0:20:44.80,0:20:47.21,Default,,0000,0000,0000,,There's nothing to it! Let me try!
Dialogue: 0,0:20:51.34,0:20:52.92,Default,,0000,0000,0000,,Let's see now.
Dialogue: 0,0:20:53.17,0:20:58.48,Default,,0000,0000,0000,,If I shoot it here, and it bounces there, and uh, no there.
Dialogue: 0,0:20:58.81,0:21:00.52,Default,,0000,0000,0000,,If I shoot it here...
Dialogue: 0,0:21:00.52,0:21:04.17,Default,,0000,0000,0000,,Four and half minus three, three and a half plus four...
Dialogue: 0,0:21:04.17,0:21:05.86,Default,,0000,0000,0000,,Add it to two...
Dialogue: 0,0:21:07.71,0:21:09.82,Default,,0000,0000,0000,,And dividing it.. and...
Dialogue: 0,0:21:09.82,0:21:11.71,Default,,0000,0000,0000,,I guess I should shoot about here.
Dialogue: 0,0:21:11.71,0:21:15.57,Default,,0000,0000,0000,,No, no, Donald. There's no guesswork to mathematics.
Dialogue: 0,0:21:15.57,0:21:17.06,Default,,0000,0000,0000,,It's quite simple.
Dialogue: 0,0:21:17.06,0:21:20.17,Default,,0000,0000,0000,,Natural angle for the hit: two.
Dialogue: 0,0:21:20.17,0:21:22.86,Default,,0000,0000,0000,,Cue position: three and a half.
Dialogue: 0,0:21:22.86,0:21:25.70,Default,,0000,0000,0000,,How much is three and a half minus two?
Dialogue: 0,0:21:25.70,0:21:27.99,Default,,0000,0000,0000,,Uhhh... one and a half!
Dialogue: 0,0:21:38.71,0:21:41.85,Default,,0000,0000,0000,,Hey! It works! Oh boy!
Dialogue: 0,0:21:41.85,0:21:43.59,Default,,0000,0000,0000,,It's a cinch!
Dialogue: 0,0:21:44.61,0:21:48.10,Default,,0000,0000,0000,,If i hit it here, add three and a half plus four
Dialogue: 0,0:21:48.10,0:21:50.80,Default,,0000,0000,0000,,Four and a half minus three... [???]
Dialogue: 0,0:21:51.94,0:21:54.66,Default,,0000,0000,0000,,You're making it tough for yourself, Donald.
Dialogue: 0,0:22:05.81,0:22:09.44,Default,,0000,0000,0000,,How do you like that for mathematics, Mr. Spirit?
Dialogue: 0,0:22:09.44,0:22:14.46,Default,,0000,0000,0000,,Wonderful, Donald. And now you're ready for the most exciting game of all.
Dialogue: 0,0:22:14.46,0:22:16.08,Default,,0000,0000,0000,,Oh, boy!
Dialogue: 0,0:22:16.70,0:22:19.87,Default,,0000,0000,0000,,And the playing field for this game is in the mind.
Dialogue: 0,0:22:20.98,0:22:24.66,Default,,0000,0000,0000,,Uh oh, look at the condition of your mind!
Dialogue: 0,0:22:24.66,0:22:33.44,Default,,0000,0000,0000,,Antiquated ideas, bungling, false concepts, superstitions, confusion!
Dialogue: 0,0:22:33.44,0:22:36.09,Default,,0000,0000,0000,,To think straight, we'll have to clean house.
Dialogue: 0,0:22:48.09,0:22:50.46,Default,,0000,0000,0000,,There, that's more like it.
Dialogue: 0,0:22:50.46,0:22:53.04,Default,,0000,0000,0000,,A nice clean sweep.
Dialogue: 0,0:22:53.04,0:22:56.33,Default,,0000,0000,0000,,This game is played with circles and triangles.
Dialogue: 0,0:22:56.33,0:22:58.59,Default,,0000,0000,0000,,Think of a perfect circle.
Dialogue: 0,0:23:02.46,0:23:07.92,Default,,0000,0000,0000,,A perfect circle. Perfect. Circle.
Dialogue: 0,0:23:08.75,0:23:11.70,Default,,0000,0000,0000,,Perfect. Ahhhhh.
Dialogue: 0,0:23:11.70,0:23:15.06,Default,,0000,0000,0000,,Put a triangle inside and turn it.
Dialogue: 0,0:23:15.06,0:23:18.90,Default,,0000,0000,0000,,Now spin the circle, and what have you got?
Dialogue: 0,0:23:19.96,0:23:21.16,Default,,0000,0000,0000,,A ball!
Dialogue: 0,0:23:21.71,0:23:23.58,Default,,0000,0000,0000,,Yes, a sphere.
Dialogue: 0,0:23:23.58,0:23:27.82,Default,,0000,0000,0000,,The shape of things is first discovered in the mind.
Dialogue: 0,0:23:27.82,0:23:30.32,Default,,0000,0000,0000,,Slice off the top and we have a...
Dialogue: 0,0:23:33.31,0:23:35.74,Default,,0000,0000,0000,,A magnifying glass!
Dialogue: 0,0:23:35.74,0:23:37.13,Default,,0000,0000,0000,,That's right.
Dialogue: 0,0:23:37.13,0:23:39.90,Default,,0000,0000,0000,,A lens is a section of a sphere.
Dialogue: 0,0:23:39.90,0:23:43.38,Default,,0000,0000,0000,,All optical instruments are created through mathematics.
Dialogue: 0,0:23:46.78,0:23:51.40,Default,,0000,0000,0000,,You see, there's a lot more to mathematics than just numbers and equations.
Dialogue: 0,0:23:52.43,0:23:55.25,Default,,0000,0000,0000,,Let's get back to our circle and triangle.
Dialogue: 0,0:23:59.00,0:24:01.30,Default,,0000,0000,0000,,Roll it and we have a...
Dialogue: 0,0:24:01.30,0:24:02.57,Default,,0000,0000,0000,,A... a wheel!
Dialogue: 0,0:24:10.34,0:24:14.44,Default,,0000,0000,0000,,The circle has been the basis for many of man's important inventions.
Dialogue: 0,0:24:20.20,0:24:23.55,Default,,0000,0000,0000,,The mind can create the most amazing things.
Dialogue: 0,0:24:24.54,0:24:27.48,Default,,0000,0000,0000,,If we spin the triangle, we have a...
Dialogue: 0,0:24:27.48,0:24:28.17,Default,,0000,0000,0000,,Cone!
Dialogue: 0,0:24:28.17,0:24:29.53,Default,,0000,0000,0000,,Slice the cone.
Dialogue: 0,0:24:29.53,0:24:30.47,Default,,0000,0000,0000,,{\i1}giggle{\i0}
Dialogue: 0,0:24:30.47,0:24:33.94,Default,,0000,0000,0000,,The cone is full of useful mathematical shapes.
Dialogue: 0,0:24:35.82,0:24:38.96,Default,,0000,0000,0000,,Slice it again. Slice it several times.
Dialogue: 0,0:24:42.05,0:24:46.74,Default,,0000,0000,0000,,The orbits of all planets and satellites can be found in the cone.
Dialogue: 0,0:24:46.74,0:24:50.56,Default,,0000,0000,0000,,No matter how you slice it, it's always mathematics.
Dialogue: 0,0:24:50.56,0:24:54.71,Default,,0000,0000,0000,,A slice like this gives us the reflector of a search light.
Dialogue: 0,0:24:55.54,0:24:59.36,Default,,0000,0000,0000,,A slice like this, the mirror of a giant telescope.
Dialogue: 0,0:25:01.48,0:25:04.68,Default,,0000,0000,0000,,A line on a cone, and we have a drill.
Dialogue: 0,0:25:08.45,0:25:10.16,Default,,0000,0000,0000,,And the spring.
Dialogue: 0,0:25:14.34,0:25:15.45,Default,,0000,0000,0000,,Now you're ticking.
Dialogue: 0,0:25:27.06,0:25:28.41,Default,,0000,0000,0000,,Number, please?
Dialogue: 0,0:25:40.64,0:25:45.34,Default,,0000,0000,0000,,The mind is the birthplace for all of man's scientific achievements.
Dialogue: 0,0:26:00.75,0:26:04.76,Default,,0000,0000,0000,,The mind knows no limits when used properly.
Dialogue: 0,0:26:04.76,0:26:06.86,Default,,0000,0000,0000,,Think of a pentagram, Donald.
Dialogue: 0,0:26:09.53,0:26:11.53,Default,,0000,0000,0000,,Now, put another inside.
Dialogue: 0,0:26:11.53,0:26:13.98,Default,,0000,0000,0000,,A third. And a fourth.
Dialogue: 0,0:26:14.54,0:26:18.07,Default,,0000,0000,0000,,No pencil is sharp enough to draw as fine as you can think
Dialogue: 0,0:26:18.07,0:26:22.09,Default,,0000,0000,0000,,and no paper large enough to hold your imagination.
Dialogue: 0,0:26:22.09,0:26:26.57,Default,,0000,0000,0000,,In fact, it is only in the mind that we can conceive infinity.
Dialogue: 0,0:26:28.26,0:26:33.04,Default,,0000,0000,0000,,Mathematical thinking has opened the doors to the exciting adventures of science.
Dialogue: 0,0:26:35.09,0:26:37.26,Default,,0000,0000,0000,,I'll be dog-darned!
Dialogue: 0,0:26:37.26,0:26:40.03,Default,,0000,0000,0000,,I've never seen so many doors before.
Dialogue: 0,0:26:40.03,0:26:43.02,Default,,0000,0000,0000,,Each discovery leads to many others.
Dialogue: 0,0:26:43.02,0:26:44.80,Default,,0000,0000,0000,,An endless chain.
Dialogue: 0,0:26:45.13,0:26:48.90,Default,,0000,0000,0000,,Hey! Hey! Whatsa matter with these doors?
Dialogue: 0,0:26:48.90,0:26:52.78,Default,,0000,0000,0000,,Hey! These doors won't open! They're locked!
Dialogue: 0,0:26:52.78,0:26:54.72,Default,,0000,0000,0000,,Of course they're locked.
Dialogue: 0,0:26:54.72,0:26:56.85,Default,,0000,0000,0000,,These are the doors of the future,
Dialogue: 0,0:26:56.85,0:26:58.57,Default,,0000,0000,0000,,and the key is...
Dialogue: 0,0:26:58.57,0:27:00.22,Default,,0000,0000,0000,,Mathematics!
Dialogue: 0,0:27:00.33,0:27:02.84,Default,,0000,0000,0000,,Right. Mathematics.
Dialogue: 0,0:27:02.84,0:27:07.52,Default,,0000,0000,0000,,The boundless treasures of science are locked behind those doors.
Dialogue: 0,0:27:07.52,0:27:13.70,Default,,0000,0000,0000,,In time, they will be opened by the curious and inquiring minds of future generations.
Dialogue: 0,0:27:15.47,0:27:17.63,Default,,0000,0000,0000,,In the words of Galileo:
Dialogue: 0,0:27:17.63,0:27:25.81,Default,,0000,0000,0000,,"Mathematics is the alphabet with which God has written the universe."