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#2426 2013-10-09 23:31:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#2427 2013-10-09 23:35:27

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2428 2013-10-09 23:54:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#2429 2013-10-09 23:58:06

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

That's nice!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2430 2013-10-10 00:01:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Hi gAr;

Thanks for the nice solution and this problem is done!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#2431 2013-10-10 00:06:35

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

You're welcome and thank you too for the problem!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2432 2013-10-10 00:37:24

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,364

Re: What do you think?

Hi gAr

One question for the solution in #2424: Doesn't P change as well? It isn't always (a,0)?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2433 2013-10-10 00:43:53

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Hi anonimnystefy,

We keep that fixed as a reference point, it won't change the answer and we'll have one less integral to calculate..


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2434 2013-10-10 00:49:11

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,364

Re: What do you think?

But, then all of the trangles have one point in (a,0).


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2435 2013-10-10 00:54:28

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Yes, but we still get all possible triangles.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2436 2013-10-10 00:57:36

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,364

Re: What do you think?

Are you sure?


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2437 2013-10-10 01:05:33

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Yes, checked varying the third point too.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#2438 2013-10-10 01:17:31

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#2439 2013-10-10 02:04:50

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,364

Re: What do you think?

Hm, okay then. Thanks for the solution!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#2440 2013-10-10 05:57:17

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

You're welcome.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2441 2013-10-10 21:41:43

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Anybody tried for expected area of quadrilateral in an ellipse?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2442 2013-10-10 22:00:51

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Not yet!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#2443 2013-10-10 22:06:31

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Okay,  the answer I derived was double that of simulated result. Don't know which one's incorrect!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#2444 2013-10-10 22:10:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Do you mean a simple or complex quadrilateral?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#2445 2013-10-10 22:13:35

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

Simple quadrilaterals.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#2446 2013-10-10 22:14:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

That complicates the simulation. The order of the points seem to be important.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#2447 2013-10-10 22:18:42

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

I sorted the angles four angles first, then calculated the area during simulation.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#2448 2013-10-10 22:28:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Did you use the same ellipse? What did you get?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#2449 2013-10-10 22:36:59

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: What do you think?

For the same ellipse, the simulation showed about 3.03286.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#2450 2013-10-10 22:40:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,480

Re: What do you think?

Hi gAr;

Okay, I will start to work on it now and see if I can get an answer close to that.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

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