The real story behind Archimedes’ Eureka! - Armand D'Angour

阿基米德背後的真實故事! 阿芒德·丹古爾

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2015-03-13 ・ TED-Ed


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The real story behind Archimedes’ Eureka! - Armand D'Angour

阿基米德背後的真實故事! 阿芒德·丹古爾

4,232,413 views ・ 2015-03-13

TED-Ed


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譯者: Yamei Huang 審譯者: 呈政 顏
00:10
When you think of Archimedes' "Eureka!" moment,
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當你想到阿基米德的 「我發現了!」靈機一動的瞬間,
00:13
you probably think of this.
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你或許會想阿基米德定律 是在這樣的情況下發現的。
00:16
As it turns out, it may have been more like this.
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真實的故事,可能是另外一回事。
00:19
In the third century BC, Hieron, king of the Sicilian city of Syracuse,
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西元前三世紀,赫農王 是西拉克斯西西里城的國王,
00:25
chose Archimedes to supervise
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指定阿基米德監督
00:26
an engineering project of unprecedented scale.
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一個史無前例的工程專案。
00:30
Hieron commissioned a sailing vessel
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赫農王要求阿基米德建造一艘
00:33
50 times bigger than a standard ancient warship,
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比戰艦還要大 50 倍的帆船,
00:37
named the Syracusia after his city.
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並以其城市命名為西拉克斯。
00:39
Hieron wanted to construct the largest ship ever,
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赫農王要建造一艘前所未有的大船,
00:42
which was destined to be given as a present
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要作為埃及統治者
00:45
for Egypt's ruler, Ptolemy.
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托勒密的禮物。
00:48
But could a boat the size of a palace possibly float?
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但像宮殿一樣大的船浮得起來嗎?
00:51
In Archimedes's day, no one had attempted anything like this.
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在阿基米德那個年代, 沒有人解決過這樣的問題。
00:55
It was like asking, "Can a mountain fly?"
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這就像是在問 「能讓一座山飛起來嗎?」
00:58
King Hieron had a lot riding on that question.
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赫農王對這個問題也感到疑問。
01:01
Hundreds of workmen were to labor for years on constructing the Syracusia
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數百名工人花了好幾年的時間 建造西拉克斯
01:06
out of beams of pine and fir from Mount Etna,
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以埃特納火山的松樹 和杉木來作船樑。
01:09
ropes from hemp grown in Spain,
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使用西班牙的大麻作成麻繩,
01:11
and pitch from France.
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使用來自法國的樹脂。
01:14
The top deck, on which eight watchtowers were to stand,
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甲板上有八座瞭望臺,
01:17
was to be supported not by columns,
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不是以圓柱撐起來,
01:19
but by vast wooden images of Atlas holding the world on his shoulders.
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而是傳說中將世界扛在肩上的 阿特拉斯的巨大木製人像。
01:25
On the ship's bow,
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船頭上,
01:27
a massive catapult would be able to fire 180 pound stone missiles.
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巨大的彈射器能夠發射 180 磅的石彈。
01:33
For the enjoyment of its passengers,
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為了讓乘客享受搭乘的樂趣,
01:35
the ship was to feature a flower-lined promenade,
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這帆船特別作一條雕花長廊步道,
01:38
a sheltered swimming pool,
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一座室內游泳池,
01:40
and bathhouse with heated water,
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提供熱水浴的澡堂,
01:42
a library filled with books and statues,
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一座充满書籍和雕像的圖書館,
01:46
a temple to the goddess Aphrodite,
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一座供奉女神愛芙羅黛蒂的神殿,
01:48
and a gymnasium.
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和一座健身房。
01:52
And just to make things more difficult for Archimedes,
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除此之外,還要找一些 更加困難的差事給阿基米德,
01:54
Hieron intended to pack the vessel full of cargo:
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赫農王想要將帆船裝滿貨物:
01:58
400 tons of grain,
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四百噸的穀物,
02:00
10,000 jars of pickled fish,
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一萬罐的醃魚,
02:03
74 tons of drinking water,
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七十四噸的飲用水,
02:06
and 600 tons of wool.
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六百噸的羊毛。
02:09
It would have carried well over a thousand people on board,
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這船必須能夠搭載一千位以上的乘客,
02:12
including 600 soldiers.
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其中包括六百位士兵。
02:15
And it housed 20 horses in separate stalls.
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可在不同的馬廄安置二十匹馬。
02:19
To build something of this scale,
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為了建造一艘龐大的船,
02:21
only for that to sink on its maiden voyage?
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因為如此, 它的處女航就沈沒在大海裡?
02:24
Well, let's just say that failure
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嗯,也就是說失敗的結果
02:26
wouldn't have been a pleasant option for Archimedes.
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對阿基米德來說並不是 他想要的作法。
02:29
So he took on the problem: will it sink?
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他提出了問題:這艘船會沈嗎?
02:32
Perhaps he was sitting in the bathhouse one day,
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有一天他坐在澡堂裡,
02:34
wondering how a heavy bathtub can float,
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很想知道如何讓一個浴缸浮起來,
02:37
when inspiration came to him.
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一個靈感突然浮現腦海。
02:40
An object partially immersed in a fluid is buoyed up by a force
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一個物體的一部分浸入液體會有浮力
02:44
equal to the weight of the fluid displaced by the object.
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這浮力等於物體排出的液體的重量。
02:49
In other words, if a 2,000 ton Syracusia displaced exactly 2,000 tons of water,
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換句話說,如果一艘二千噸的西拉克斯 所排出的水量也正好是二千噸,
02:55
it would just barely float.
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它剛好可以浮起來。
02:58
If it displaced 4,000 tons of water, it would float with no problem.
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如果可以排出四千噸的水, 要船浮起來是沒問題的。
03:02
Of course, if it only displaced 1,000 tons of water,
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如果只排出一千噸的水 是浮不起來的,
03:05
well, Hieron wouldn't be too happy.
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當然,赫農王對此結果會不高興。
03:09
This is the law of buoyancy,
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這就是浮力定律,
03:12
and engineers still call it Archimedes' Principle.
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工程師仍然稱它為阿基米德定律。
03:16
It explains why a steel supertanker can float as easily as a wooden rowboat
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它解釋為何一艘超級鋼製油輪 能夠像木造划艇般容易浮起來
03:20
or a bathtub.
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浴缸也是相同的道理。
03:22
If the weight of water displaced by the vessel below the keel
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若船龍骨線以下所排出的水的重量
03:25
is equivalent to the vessel's weight,
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等於船的重量,
03:28
whatever is above the keel will remain afloat above the waterline.
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船龍骨線以上的地方 將保持浮在船的吃水線之上。
03:32
This sounds a lot like another story involving Archimedes and a bathtub,
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這聽起來像是另一個故事, 有別於阿基米德和浴缸的故事,
03:36
and it's possible that's because they're actually the same story,
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也可能是因為 它們是同一個故事,
03:39
twisted by the vagaries of history.
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卻被異想天開的歷史故事所扭曲。
03:42
The classical story of Archimedes' Eureka! and subsequent streak through the streets
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大家所知的阿基米德靈機一動的故事! 「大喊我發現了」然後裸奔穿過
03:47
centers around a crown, or corona in Latin.
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圍繞著皇冠的街道中心, 皇冠的拉丁文是"corona"。
03:50
At the core of the Syracusia story is a keel, or korone in Greek.
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西拉克斯故事的主旨是船龍骨, 其西臘文是"korone"。
03:56
Could one have been mixed up for the other?
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是因為把 "corona" 和 "korone" 混淆了嗎?
03:58
We may never know.
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我們不得而知。
04:00
On the day the Syracusia arrived in Egypt on its first and only voyage,
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當西拉克斯在它的第一次 也是唯一一次的航行抵達埃及時,
04:05
we can only imagine how residents of Alexandria thronged the harbor
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我們只能想像亞歷山大的居民 蜂擁至港口
04:09
to marvel at the arrival of this majestic, floating castle.
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看到這雄偉的,飄浮的城堡 的到來而感到驚訝。
04:14
This extraordinary vessel was the Titanic of the ancient world,
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這艘特別的船是 古文明世界的鐵達尼號,
04:18
except without the sinking, thanks to our pal, Archimedes.
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但這艘船並有沈入大海, 這要歸功於阿基米德。
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