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**tina123****Member**- Registered: 2012-04-29
- Posts: 83

i have a rectangle with height = 123 and width = 92. also i have central location x ,y = 47 , 62 .

I can find the mid point of width and height of rectangle .

but i want to get location x ,y of mid point of width or height of rectangle .How can i get that .

Can any one please tell me mathematically .

thanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi tina123;

In order to get the x,y coordinates of your rectangle it would have to located along the xy axis otherwise the center point of it will be different for each rectangle.

See the drawing below.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**tina123****Member**- Registered: 2012-04-29
- Posts: 83

Well, we can find central location of a rectangle .

let say we have x,y initiail corner of rectangle is 1,1 . width and height of rectangle is 92 and 23 .

so cX = x + width/2 , cy =y+ height /2

that will give u central location of rectangle .

but how can we get location of mid point of width or height ?

*Last edited by tina123 (2012-09-19 11:38:02)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi;

To get the midpoint of a side you just add the coordinates and divide by 2. Same as for a line.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**tina123****Member**- Registered: 2012-04-29
- Posts: 83

bobbym wrote:

Hi;

To get the midpoint of a side you just add the coordinates and divide by 2. Same as for a line.

i know the way to get the mid point . mid point will be single value .

i want mid point location in x , y .

How can we get that ?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi;

Do you want the mid point of a side or of the rectangle?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**tina123****Member**- Registered: 2012-04-29
- Posts: 83

bobbym wrote:

Hi;

Do you want the mid point of a side or of the rectangle?

yes , i mid point(int form of x ,y ) of a side of rectangle .

thanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Since the sides of a rectangle are either horizontal or vertical lines you do this.

For a horizontal side with coordinates (x1,y1) and (x2,y2) the midpoint is

For a vertical side with coordinates (x1,y1) and (x2,y2) the midpoint is

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**tina123****Member**- Registered: 2012-04-29
- Posts: 83

Hy Dear Bobby,

Is that correct way to get the location in x,y of mid point of width and height ?

please check it : http://i1069.photobucket.com/albums/u472/tina12354/recTest_zps8f233dc8.png

Thanks

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,676

Hi tina123;

Those formulas are the correct way to get the midpoint ( the red marks ) of a side of a rectangle when you have the (x,y) coordinates of the vertices of the side.

Try it on one.

Do you need a little more to understand it?

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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