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Old 01-13-2006, 01:24 AM   #1
MattPark
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Default Think about this for a bit

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Old 01-13-2006, 01:30 AM   #2
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Default Re: Think about this for a bit

How in the world does that work? I counted the squares and I'm stumped. This takes me back to high school geometery. I was stumped then also.
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Old 01-13-2006, 05:52 AM   #3
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Default Re: Think about this for a bit

The two triangles are not similar, that is they have a different slope. As such, the area encompassed beneath the respective hypotenues' changes when you change the starting point of each one. As simple integration of the line segments evaluated from their respective limits would show this.

Optical illusion on the triangles.
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Old 01-13-2006, 01:13 PM   #4
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Default Re: Think about this for a bit

I think you should send it to that Marilyn gal in the Parade Magazine, Matt.

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Old 01-13-2006, 02:06 PM   #5
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Default Re: Think about this for a bit

That's cool. I can see that the slopes are different by comaring the size of the partial squares on the top slope, but I don't see how they could be because they are the same number of squares wide and high, and the squares appear to be the same size. :whazzup:

Things that make you go hmmmmmmmmmmmmmm...

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Old 01-13-2006, 02:38 PM   #6
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Default Re: Think about this for a bit

The triangles are not the same slope. 2 over 5 and 5 over 8 is not the same slope.

one inside angle is 23.5 degrees and the other is 38.7 degrees in the small corner.

That top line is not straight if drawn correctly in reality.
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Old 01-13-2006, 02:43 PM   #7
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Default Re: Think about this for a bit

Quote:
The two triangles are not similar, that is they have a different slope. As such, the area encompassed beneath the respective hypotenues' changes when you change the starting point of each one. As simple integration of the line segments evaluated from their respective limits would show this.

Optical illusion on the triangles.



hea this is just like high school i get to copy off the smart kid.
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Old 01-13-2006, 03:45 PM   #8
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Default Re: Think about this for a bit

Quote:
Quote:
The two triangles are not similar, that is they have a different slope. As such, the area encompassed beneath the respective hypotenues' changes when you change the starting point of each one. As simple integration of the line segments evaluated from their respective limits would show this.

Optical illusion on the triangles.



hea this is just like high school i get to copy off the smart kid.

But hold on .......just one more sip of my Makers Mark.....ok they look straight to me now.

Nice post.
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Old 01-13-2006, 04:00 PM   #9
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Default Re: Think about this for a bit

Judging by Matt's posts....Matt has too much time on his hands.... :whazzup:

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