Talk:Aspect ratio

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[edit] Math question

[edit] Question

Here's a math question:

Suppose the diagonal and the aspect ratio of a monitor are known. What is the formula used to determine the length and width?

D = diagonal A = aspect ratio L = length W = width

D=\sqrt {L^2+W^2}

A = W / L

D2 = L2 + W2

D2 − W2 = L2

\sqrt{D^2-W^2}=L

A=W/\sqrt{D^2-W^2}

How do I solve it from there to get the value of W or the value of L? Captain Zyrain 14:14, 18 October 2007 (UTC)

[edit] Answer (courtesy of Jacob Foster)

Hey there,

Just did the algebra very quickly, but I think correctly. I'll write in LaTeX. The key, of course, is to rewrite in terms of known variables. So,

A = W/L LA = W L^2 * A^2 = W^2

Substituting,

D^2 = L^2 + L^2 * A^2

Solving,

L = D\(\sqrt{1 + A^2})

W = DA\(\sqrt{1 + A^2})

And there you go! Captain Zyrain 15:01, 18 October 2007 (UTC)

[edit] Category fix needed

"Numerology" doesn't mean what the person who added the category probably thought it means... AnonMoos (talk) 23:56, 29 November 2007 (UTC)

[edit] Any thoughts about writing a page on T/C ratio

This is a page which is badly needed; at the moment there are some convoluted sentences appearing in Wikipedia aviation pages trying to explain the concept. The Hawker Tempest article has been rewritten to start the ball rolling. At the moment I don't have the time to start a new page. Would anyone else like to have a go?Minorhistorian (talk) 00:44, 22 March 2008 (UTC)