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#26 2012-05-13 23:28:30

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

Hi MIF;

Did not see you up there. My way is not always reliable. Sometimes it has the wrong sign!

Hi anonimnystefy;

work for complex polys?

I tend to doubt it.


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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#27 2012-05-13 23:30:33

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

Hi bobbym

1) Just get the absolute value.

2) What does the wiki article on the shoelace formula say about the complex polys?


“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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#28 2012-05-13 23:34:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

1) Just get the absolute value.

That is where I have a problem. Interpreting area as a real thing and mathematically. If the polygon is in the 3rd quadrant isn't the area negative?


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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#29 2012-05-13 23:37:32

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

It isn't.


“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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#30 2012-05-13 23:53:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

Yes, his applet is showing that. It makes sense that area should be invariant under a simple translation.

Thanks MIF for the nice app.


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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#31 2012-05-14 00:01:30

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

Yes,the app is wonderful. Just gonna try finding a formula for the complex polys.


“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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#32 2012-05-14 00:07:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

I do not think there is one.


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

#33 2012-05-14 00:08:07

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

I don't agree.


“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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#34 2012-05-14 00:14:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

It seems and this is a quote:

The area of a self-intersecting polygon can be defined in two different ways, each of which gives a different answer:

No unique answer!


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

#35 2012-05-14 00:16:52

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

What are the two ways?


“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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#36 2012-05-14 00:20:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

That is just theory from Wikipedia and probably kaboobly doo.

There is a formula, or at least he claims there is!


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

#37 2012-05-14 00:21:42

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

Why are you quoting kaboobly doo?


“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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#38 2012-05-14 00:28:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

You like theory.


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

#39 2012-05-14 00:30:39

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

Not always true.


“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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#40 2012-05-14 09:09:07

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Area of Polygon by Drawing

Area is positive when going clockwise, but just use absolute value anyway.

I have a page describing it from a geometric point of view: Area of Irregular Polygons


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#41 2012-05-14 09:15:37

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,809

Re: Area of Polygon by Drawing

I don't see negative values of area on that page.And the area can be negative only from the analytic point of view.


“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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#42 2012-05-14 09:17:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 81,401

Re: Area of Polygon by Drawing

Thanks guys. I will look at the page now.

Nice method MIF! I did not know 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

#43 2012-05-27 04:45:43

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,552

Re: Area of Polygon by Drawing

Sweet I just found this area app!! It is terrific and can be used
for checking acreage of property too!! I think an acre is 43540 or 43640 or 42540 or something like that sq. feet, 208 by 209 feet or so.


igloo myrtilles fourmis

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#44 2012-05-27 04:46:50

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,552

Re: Area of Polygon by Drawing

Oh, 43560 it seems actually.


igloo myrtilles fourmis

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