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Need dimensions for a 16:9 screen

 
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Jeremy112




Joined: 28 Sep 2006
Posts: 2645
Location: Fond du Lac, WI


PostLink    Posted: Fri Jul 08, 2011 12:50 am    Post subject: Need dimensions for a 16:9 screen Reply with quote


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Hey everyone, need a second screen for working on my projector. I need to know the dimensions for a 80" diagonal 16:9 screen. I would appreciate any help! Very Happy

Thanks!

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garyfritz




Joined: 08 Apr 2006
Posts: 12021
Location: Fort Collins, CO


PostLink    Posted: Fri Jul 08, 2011 3:02 am    Post subject: Reply with quote

Pythagorean theorem: a^2 + b^2 = c^2. a is screen width, b is screen height, c is diagonal.

For the basic unscaled 16:9 numbers, that's 16^2 + 9^2 = c^2, c = sqrt(16^2 + 9^2) = 18.36.

Now you want to scale 16:9 with an 18.36 diagonal up to an 80" diagonal, so your multiplier is 80 / 18.36 = 4.36.

a = 16 * 4.36 = 69.72", b = 9 * 4.36 = 39.24". The diagonal is sqrt(69.72^2 + 39.24^2) = 80.0041".

If you want to round it off, a 70" x 40" screen gives you just about 80" diagonal -- sqrt(70^2 + 40^2) = 80.62" to be exact.
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Jeremy112




Joined: 28 Sep 2006
Posts: 2645
Location: Fond du Lac, WI


PostLink    Posted: Fri Jul 08, 2011 3:11 am    Post subject: Reply with quote

sweet, Ill be sure to remember this, its very useful Smile Thanks Gary!
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AnalogRocks
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Joined: 08 Mar 2006
Posts: 26690
Location: Toronto, Ontario, Canada

TV/Projector: Sony 1252Q, AMPRO 4000G


PostLink    Posted: Fri Jul 08, 2011 3:20 am    Post subject: Reply with quote

I knew there'd be math in this thread. Very Happy
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Jeremy112




Joined: 28 Sep 2006
Posts: 2645
Location: Fond du Lac, WI


PostLink    Posted: Fri Jul 08, 2011 5:50 am    Post subject: Reply with quote

<<<------ Fully admit I didn't know how to calculate the dimensions for the screen :-\

Math to the rescue! Very Happy

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AnalogRocks
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Joined: 08 Mar 2006
Posts: 26690
Location: Toronto, Ontario, Canada

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PostLink    Posted: Fri Jul 08, 2011 6:04 am    Post subject: Reply with quote

Good ol' Pythagoras
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dvh99




Joined: 25 Dec 2009
Posts: 2158
Location: nederland


PostLink    Posted: Fri Jul 08, 2011 9:05 am    Post subject: Reply with quote

what i don`t understand is that even the ancient greeks (pythagoras, euclides) had great math skills and they still are in great debt now.
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Tom.W




Joined: 09 Mar 2006
Posts: 6637



PostLink    Posted: Fri Jul 08, 2011 10:20 am    Post subject: Reply with quote

http://www.silisoftware.com/tools/screen.php

Nice little calculator... Wink
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garyfritz




Joined: 08 Apr 2006
Posts: 12021
Location: Fort Collins, CO


PostLink    Posted: Fri Jul 08, 2011 3:17 pm    Post subject: Reply with quote

dvh99 wrote:
what i don`t understand is that even the ancient greeks (pythagoras, euclides) had great math skills and they still are in great debt now.

No, they're dead now. Mr. Green Their descendents seem to be a bit more math challenged.
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Jeremy112




Joined: 28 Sep 2006
Posts: 2645
Location: Fond du Lac, WI


PostLink    Posted: Fri Jul 08, 2011 5:00 pm    Post subject: Reply with quote

Screen is getting made today, will have it by 6:30PM my time, And by screen I mean the peice thats used to actually view the projected image, not the frame/border etc..

Just need it so I can finish setting up my new tubes!

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WanMan




Joined: 19 Mar 2006
Posts: 10273



PostLink    Posted: Fri Jul 08, 2011 5:06 pm    Post subject: Reply with quote

Jeez, no one could simply use Sine and Cosine (and Tangent's Inverse)? The angle is 29.36º. Height = Sin(29.36º), Width = Cos( 29.36º).
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garyfritz




Joined: 08 Apr 2006
Posts: 12021
Location: Fort Collins, CO


PostLink    Posted: Fri Jul 08, 2011 5:11 pm    Post subject: Reply with quote

You'd have to use arctan(9/16) to figure the 29.36° angle. Then sin(29.36°) gives you the height of a screen with a unit diagonal, so remember to multiply 80" * sin(29.36°) = 39.22", etc.

But whaddaya you got against Pythagoras? Most people are more comfortable with square roots than they are sines, cosines, and arctangents.
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416ray4538




Joined: 14 Jul 2009
Posts: 517
Location: near Toronto Ont


PostLink    Posted: Sat Apr 26, 2014 4:09 pm    Post subject: Reply with quote

Speaking of Pythagoras, anyone know what the hell he was working on to come up with the 81:80 comma. The only place I know of where it shows up is in tuning with 12 semitones to the octave. It's the error on the fifths. Rolling Eyes
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