Jabez Scratch Posted April 7, 2005 Share Posted April 7, 2005 Re: aspect ratios, namely 4:3 and 16:9, mathematically speaking, aren't they the same when reduced to their common denominators, i.e., 16:9 is really 4:3? I have to stress that I am not strong in math so many readers are probably already laughing at my noob error. I realize that 16:9, technically, is at its lowest common denominator, but something seemed weird when I suddenly thought about it. I don't know ... it's late afternoon and the synapsis are not at full efficiency. Quote Link to comment Share on other sites More sharing options...
Champagne taste beer budget Posted April 7, 2005 Share Posted April 7, 2005 4:3 really isn't the same as 16:9. 4 divided by 3 = 1.33. 16 divided by 9 = 1.78. Hence the different ratios. Don't worry about asking any odd questions, just check my signature. Quote Link to comment Share on other sites More sharing options...
kenratboy Posted April 7, 2005 Share Posted April 7, 2005 3.1415926535898 (that was from MEMORY) Too add something, many movies are filmed even wider, like 1:2.35/2.40, 1:1.85 is also common IIRC (comedy, drama, etc.) - so there are lots of ratios. Widescreen = 16:9 (TV size, NOT movie ratio, it can be different!). Fullscreen = 4:3, regular TV. Quote Link to comment Share on other sites More sharing options...
Gilbert Posted April 7, 2005 Share Posted April 7, 2005 ---------------- On 4/7/2005 4:42:31 PM kenratboy wrote: 3.1415926535898 (that was from MEMORY) Too add something, many movies are filmed even wider, like 1:2.35/2.40, 1:1.85 is also common IIRC (comedy, drama, etc.) - so there are lots of ratios. Widescreen = 16:9 (TV size, NOT movie ratio, it can be different!). Fullscreen = 4:3, regular TV. ---------------- Pi That was from memory too! Quote Link to comment Share on other sites More sharing options...
yaffstone Posted April 7, 2005 Share Posted April 7, 2005 The beauty of it is that Pi is simpler and more accurate at once. Quote Link to comment Share on other sites More sharing options...
eq_shadimar Posted April 7, 2005 Share Posted April 7, 2005 ---------------- On 4/7/2005 4:01:55 PM Jabez Scratch wrote: Re: aspect ratios, namely 4:3 and 16:9, mathematically speaking, aren't they the same when reduced to their common denominators, i.e., 16:9 is really 4:3? I have to stress that I am not strong in math so many readers are probably already laughing at my noob error. I realize that 16:9, technically, is at its lowest common denominator, but something seemed weird when I suddenly thought about it. I don't know ... it's late afternoon and the synapsis are not at full efficiency. ---------------- Ah yes the math is slightly wrong. 12:9 or 16:12 would be the same as 4:3 since 3 goes into 9 three times but does not evenly divide into 16. Another way to look at it is that 16:9 is the same as 5.33:3 Or your could divide the numbers as suggested above Laters, Jeff Quote Link to comment Share on other sites More sharing options...
toddvj Posted April 7, 2005 Share Posted April 7, 2005 16 divided by 4 = 4 9 divided by 3 = 3 So I can see how you'd get confused, but to get the Lowest common denominator, you have to divide both by the SAME number. Quote Link to comment Share on other sites More sharing options...
wdrazek Posted April 7, 2005 Share Posted April 7, 2005 Here's the important part: a 35" old style TV has the same screen area as a 42" widescreen. But when viewing letterbox movies or HDTV content a 32" widescreen display is the same size as the 35". Quote Link to comment Share on other sites More sharing options...
MrMcGoo Posted April 7, 2005 Share Posted April 7, 2005 4/3=1.33 16/9=1.78 Quote Link to comment Share on other sites More sharing options...
sivadselim Posted April 8, 2005 Share Posted April 8, 2005 4x4 IS 16 but 4x3 is 12, NOT 9 Quote Link to comment Share on other sites More sharing options...
Chris Robinson Posted April 8, 2005 Share Posted April 8, 2005 He obviously was just taking the square root of both sides. Easy misconception. Quote Link to comment Share on other sites More sharing options...
mandi Posted April 8, 2005 Share Posted April 8, 2005 As a high school math teacher, this thread is making me cringe. Quote Link to comment Share on other sites More sharing options...
InFlux Posted April 8, 2005 Share Posted April 8, 2005 I can see today's highschool math quiz... QUESTION: What is the benefit of a 16:9 ratio TV over a 4:3 ratio TV? Both have a 32" diagonal length. ANSWER: The 4:3 ratio TV, when used in 16:9 mode, offers 15.7% less used viewing area than the 16:9 ratio screen even though the 4:3 ratio screen has 12.3% more total screen area. Quote Link to comment Share on other sites More sharing options...
InFlux Posted April 8, 2005 Share Posted April 8, 2005 Oh yeah, this is highschool, so you have to show your work From the 32" hypotenuse of the 4:3 ratio TV (a 3,4,5 triangle) the width and height are 25.6" x 19.2" respectively. Total area is 491.52 sq.". The 16:9 ratio TV has a width & height of 27.89" x 15.69" resulting in an area of 437.59 sq.". The length and width were found by solving this equation for x, and the multiplying x by 16 (width) and x by 9 (height): 32^2=(16x)^2+(9x)^2 --- x = 1.743... Limiting the 4:3 ratio TV to a 16:9 viewing area means the width is still 25.6, but the height becomes 25.6/16*9 = 14.4". This new area is 25.6" x 14.4" (368.64 sq.") Thus, 15.7% (actually 15.8, my bad) is (437.59-368.64)/437.59 Thus, 12.3% is (491.52-368.64)/437.59 Does that answer the original question? Quote Link to comment Share on other sites More sharing options...
sivadselim Posted April 8, 2005 Share Posted April 8, 2005 man, that girl on the front row sure does have a cute butt today. Quote Link to comment Share on other sites More sharing options...
kenratboy Posted April 8, 2005 Share Posted April 8, 2005 ---------------- On 4/8/2005 7:21:02 AM mandi wrote: As a high school math teacher, this thread is making me cringe. ---------------- You would love my calc teacher. Oh my oh my, what she says/does on a day to day basis would have you fired in a instant. Quote Link to comment Share on other sites More sharing options...
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