> GIF)` x/bjbj 4Fb'26668n$42NPPPPPP$h!vttNNІa|56N0q"q"q"Httd22262226222Archimedes and the Royal Crown
Characters: Archimedes, the King, the mathematician, a soldier and the narrator
Scene I ( Romanian team)
Narrator (Italian student)
Welcome, dear viewers! In a few moments you will see Archimedes in person, solving the royal crown problem. Do you remember that Archimedes, wise man of the old times, lived about 300 years before Christ, in the city of Syracuse, on the island of Sicily?
He found many ways to solve math problems and he is the author of many inventions, many used in military field, to defend Syracuse, besieged by the Romans.
You will now see the king of Syracuse calling Archimedes to solve an interesting problem.
Soldier
O king, Archimedes is present at the court as you wanted!
King (slowly removes his crown on his head)
Archimedes? Let him enter!
(The servant goes out and returns accompanied by Archimedes)
Oh, Archimedes, welcome!
Archimedes
Thank you, King! I was told I have a very difficult problem to solve. The mathematician of the court failed to give it a solution and you decided to call me.
King
I think it's something simple for you, Archimedes. Look at the crown. Take it, feel it a bit!
(He hands him the crown. Archimedes takes it carefully and looks at it with admiration)
Archimedes
What a beauty! What art! Your Majestys jeweler is an accomplished artist.
King
Right. He is a great artist. But ... The fact is that there's a problem ... is the crown you hold in your hand made of pure gold, as the gold I gave myself to the jeweler? Or maybe he added some silver, in order to keep a part of the gold for himself?
Archimedes
King, I'm ready to do the research needed to determine this. But I dont want to tell anything before analyzing the metal. Without measurements and experimenting, I cannot say anything.
King
I know what you mean Archimedes: to do your measurements, you need a piece of the crown. But I cannot give you that. I do not want to spoil the beauty of the royal crown only because of a vague hunch. But yet it is pure gold? The jeweler would ask me a fortune to make again the crown, and I will not know if he adds silver again.
Archimedes (thinking)
Yes, King, now I understand your problem, it is not at all simple. Let me think...
King
You can find, by your calculations, the volume and area of objects. Im sure you'll find a solution, Archimedes!
Archimedes
I would ask you to give me a room, King, and to host me till I find the answer. I hope that in a few days...
King
Please feel here at home.
(Archimedes goes out, accompanied by a servant)
Mathematician
King, believe me, the presence of Archimedes here is not necessary. Without breaking a piece of the crown and melting it, we cannot know whether the jeweler used the pure gold you send him, or mixed it with silver.
King
I do not want to contradict you, as youre the mathematician of the court. But I remind you: I paid the jeweler an amount of gold equal to the weight of the crown itself. If you break a piece of the crown and the research proves it's not pure gold, then I will not be sorry I broke the crown. But if it proves that it is indeed of pure gold, then Ill have to give the crown to be repaired and it will cost me the same amount again... Let's see what Archimedes will say.
(Everyone withdraws)
Scene II ( Spanish Team with the Soldier from Romanian team)
(Noises of water)
Mathematician
O king, it's been a week since Archimedes does nothing. He is wasting time in the bathroom, playing with water. He says he takes a bath, or says that he thinks, and sometimes claims to be experiencing. I'm sure he completely forgot the purpose hes here for. Better send him back. I bet he will not find the solution that you expect!
King
And what if he finds it?
Mathematician
O King, I think your hunch about the jeweler is unfair. I think you should quit suspicions and forget this problem.
King
And if, however, it proves that jeweler cheated on me?
Mathematician
In that case, you can give me the same punishment as the jeweler, who I believe to be honest and innocent.
Soldier
Wait, where you going, Archimedes? You cannot come in unannounced!
Archimedes
Eureka! Eureka! I found! I solved the crown problem!
(He comes in running to the king, dressed in a bathrobe. Several soldiers with spears or swords in hand, ran after him, ready to kill him)
King
(To soldiers) Let him come to me!
(Soldiers stop)
(To Archimedes) What happened to you, Archimedes? Why are you coming in unannounced and dressed up in a bathrobe?
Archimedes
Eureka! Eureka! I found the solution to your problem!
Mathematician
You dreamt in the bathroom that the crown is actually made of pure gold, isnt it?
Archimedes
I never dreamt anything, mathematician. I thought a lot, I did all the necessary experiments and now I know what to do!
King
I'm glad, Archimedes, to hear this. Now please explain step by step what you were thinking.
Archimedes
I need a cylindrical vessel, half filled with water, a balance and a few gold bars of different sizes.
King
(To servants) Bring him anything he wants.
Mathematician
What does water have to do with the royal crown, Archimedes?
Archimedes
I will immediately show you, mathematician.
(Servants come back bringing everything required by Archimedes and put it in front of the people)
Here, lets put the crown into the water vessel!
King
Take good care of it!
Archimedes
Before putting it into the vessel, I d like the mathematician to make a sign on the water level outside the vessel.
Mathematician
Archimedes, I refuse to let you make me your disciple!
King
(To the mathematician) I order you to give him ANY help he needs.
Mathematician
Ill obey your will, our Majesty.
(He marks the volume of water in the vessel with a chalk on the outside)
Water goes up till here, King!
Archimedes
(He inserts crown in the vessel)
Now we introduce the crown into the water. As you can see, the water level rises up into the vessel. Mathematician, be so kind as to mark where the water level is this time.
King
Archimedes, I am watching you closely, but I confess I do not understand what you are going to do.
Mathematician
(Put the second sign on the vessel) I think, my king, that he came here straight from the bathroom to show contempt for us all.
Archimedes
Let me explain: we will find out the volume of the crown, not by calculations, which would be impossible because of its shape, but by the volume of the water pushed up by the crown. This volume is between the two signs marked by the mathematician on the vessel. Now, good mathematician, be kind to measure and calculate the volume of that amount of water that has been pushed up by dipping the crown.
Mathematician
(He measures the diameter of the vessel and the distance between the two marks)
I measure the vessels diameter ... so, now I measure the distance between the two marks ... (Take a tablet and write on it) ... look, king, this amount is asked by Archimedes.
King
Do you want to know the result, Archimedes?
Archimedes
No need to know it. Royal crown volume should be ... one of the kingdoms secrets. Because I have to say that the volume of water displaced by the crown is equal to the volume of the crown itself.
King
Great! Now we know the volume of the crown. And now?
Archimedes
Further I'll ask the mathematician to choose between a few pieces of gold, so that the total volume is equal to the amount written on his board.
Scene III ( Romanian Team)
Mathematician
I think I finally understand what you're doing, Archimedes.
(Measure pieces of gold, calculates the volume on the board, pick a few and keep them in hand)
These four pieces are about the same volume as the royal crown. Now I suppose that you want to use a balance.
Archimedes
(Take the crown from water and wipe with a robe)
Exactly. And soon we will know if the gold in the crown is pure or not.
King
Aha, now I understand myself. We will put the crown on a plate and on the other plate the gold pieces that have the same volume as the crown. In equal volumes, the weight must be equal.
Mathematician
Only if we deal with the same material on both plates.
King
If the two plates are at the same level, then ... the crown is pure gold.
Archimedes
Exactly! Eureka! Weigh them, then! But, Your Majesty; now I realize that Ive come before you in a bathrobe. Please forgive me and allow me to get dressed properly.
King
No, Archimedes, you will stay so in people's memories forever. Your moment of inspiration, your mind, are beyond the kind of your clothes. And your exclamation Eureka, that means I discovered ", will be well known, age after age.
Now put the royal crown to test! Mathematician, you'll put the gold on a plate. Archimedes, you'll put the crown on the other plate.
(The two run commands. Scales bow)
The plates are not at the same level. The crown is not pure gold! The jeweler was not honest; I'll punish him for it.
Mathematician
I believed in the jeweler and asked you to give me the same punishment if he was found guilty of cheating!
King
Yes, it is right. I will do the jeweler just what he did to my crown: I will pour melted gold down his throat. And to you, mathematician, the same punishment.
Archimedes
Oh, no king. I wish the principle found by me to be useful for humanity, not to bring the death of two people from the very beginning.
King
What do you want me to do, Archimedes? To tolerate dishonesty?
Archimedes
O king, (the) punishment is necessary, but (also the) forgiveness can have sometimes the same effect. A villain who regrets what he did, will not do it again.
King
Well, as a proof of respect for Archimedes and his new principle, I'll let those two alive. But my decision is this. The jeweler will make a new crown from the gold which I gave him already as payment for the old crown. And the mathematician will determine precisely how much gold and silver the old crown contains. And when you do not know what to do, ask Archimedes for help without feeling humiliated anymore.
Archimedes
Thank you, good king.
King
I did nothing, my friend, than to try to apply the principle of Archimedes to the human soul.
y"'3
8
"5AnsKU*5
8:%cjpq
#&sx|ԳԳԳԳԳԳԳԳԳhibC5CJOJQJhX56CJOJQJhibCCJOJQJhwCJOJQJhXCJOJQJhoq
5CJOJQJhX5CJOJQJhX5CJOJQJB pq @
#`y"'3
8
5AK$a$b/w/Ka*5%sxO]gdibC,2O]M[+6inQ[{}<>cqw{39bgX c >!D!hX56CJOJQJhXCJOJQJhX5CJOJQJWU+64cqhbgX c !"R"##4#?#$ $>$I$$D!!"##4#?#$ $$>$I$$$$%%%@%A%&&&&Q'_'''''($(9(B(((***++++5,M,N,S,,,,,,,,,,,<-A-t-x-3.7.e.r.{..../a/b/3hXB*CJOJPJQJ_HmHnHphsHtHh9(}CJOJQJhX56CJOJQJhX5CJOJQJhXCJOJQJG$$$%A%%&&J&&&Q'_'''''(()*)***++++N,S,S,,,<-A-.../b/d/e/g/h/j/k/m/n/o/p/q/r/s/t/u/w/x/b/c/e/f/h/i/k/l/n/o/p/q/r/s/t/u/v/w/x/3hXB*CJOJPJQJ_HmHnHphsHtHh"}h"}B*OJPJQJ_HphhXjhXU2&P:p)/ =!"#n$n%@NormalE$$$d*$1$@& ]^ `$a$-DM
e568:;<7S*CJOJPJQJ@mH phsH tH _HH*>*KHEHaJfHq
DA@DDefault Paragraph Fontdi@dTable Normal.a44l44l(k@(No ListO
Formato libreE$$$d*$1$@& ]^`$a$-DM
Y568:;<7S*CJOJPJQJ@mHphsHH*>*KHEHfHq
x'F pq@#`y"'385AKa* 5
%
sxO]U+64cqhbgXcR4? >IAJQ_ !")"""####N$S$$$<%A%&&&'b'd'e'g'h'j'k'm'n'o'p'q'r's't'u'y'00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%0%0%0%0%0%0%0%0@0%0@0%0@0%0@0%0 D!b/x/"K$S,x/ !w/ym8>>N5=JR_ ##z$$b'b'd'd'e'e'g'h'j'k'm'n'v'y'333333333333333m5AYu
z$$b'b'd'd'e'e'g'h'j'k'm'n'v'y'b'b'd'd'e'e'g'h'j'k'm'n'v'y'oq
wSe(ibCXJ)S9v9(}YX)"}@08-x'p@UnknownGz Times New Roman5Symbol3&z ArialeHelvetica NeueTimes New RomanCLucida Grandec0000҉0 Pro W3Times New Roman#hۛ!!!G!G!N'N'#()S2Archimedes and the Royal CrownMihaixxxOh+'0l
(4
@LT\d Archimedes and the Royal CrownMihaiNormalxxx12Microsoft Office Word@R=@!@<_5!՜.+,0hp
yyyyGN''Archimedes and the Royal CrownTitle
!"#%&'()*+,-./012345789:;<=?@ABCDEHRoot Entry Fj|5J1Table$q"WordDocument4FSummaryInformation(6DocumentSummaryInformation8>CompObjq
FMicrosoft Office Word Document
MSWordDocWord.Document.89q