HendryTan Posted February 28, 2014 Report Share Posted February 28, 2014 Now I finally undestand all this A4,A3 paper thing. http://www.quora.com/What-is-the-history-behind-standard-paper-sizes-A4-A3-etc _________________________________________________________________________The A series of paper sizes are designed so that when you cut one in half, you get two pieces of the next-smallest-size, and every size has height and width in the same proportion. A little math reveals that this requires that the height of the page be sqrt(2) - approximately 1.414 - times the width.So once you've decided that this is the ratio you want for your page, how do you decide the absolute size?In the case of the A series of paper sizes, an A0 piece of paper is exactly 1 square metre, requiring width x width x 1.414 = 1, which gives a width of 84.1cm and height of 118.9cm (to the nearest mm).An A1 piece of paper has a length that's the same as the width of A0, or 84.1cm, and a width of 84.1cm / sqrt (2) = 59.5cm. Which you'll notice is half the height of the A0 size (118.9cm).These relationships hold true going all the way down to A10: It happens that of the A series, A4 is the one that's closest to the traditional size used for correspondence, and this has therefore become the de facto standard paper size in the metric world (i.e. pretty much globally except the United States ).One fairly obvious consequence of this is that one can make a booklet of a particular size, from a sheet of the next-largest-size folded in half. So A3 sheets of paper can be used to create A4 booklets.Another interesting consequence is that it becomes easy to calculate the weight of single sheets. Standard photocopy paper is usually 80gsm (grams per square metre), thus an A0 sheet, being 1 square metre, weighs 80g. An A1 weighs 40g, A2 is 20g, A3 is 10g, and A4 is 5g. (And so on.) Tachyons 1 Link to comment Share on other sites More sharing options...
leibniz Posted February 28, 2014 Report Share Posted February 28, 2014 The simple math: Phil, Tachyons and HendryTan 3 “Do the things at which you are great, not what you were never made for.” Link to comment Share on other sites More sharing options...
Blacque Posted February 28, 2014 Report Share Posted February 28, 2014 Been dealing with this for a long long time.. Instagram: vodkabaker Link to comment Share on other sites More sharing options...
jackomaki Posted February 28, 2014 Report Share Posted February 28, 2014 The simple math: O....my.....god...... (O.O) Cooking is my passion. Music is my life. Reading is my sanity. Bitching about you keeps me happy. "People fear because of a lack of understanding, and a lack of understanding comes from a lack of proper communication on both parties, so to resolve fear we need to first resolve communication" Link to comment Share on other sites More sharing options...
HendryTan Posted March 1, 2014 Author Report Share Posted March 1, 2014 The simple math: 1. Thanks for the equations ! 2. Perfect. leibniz 1 Link to comment Share on other sites More sharing options...
Bigsteve888 Posted March 1, 2014 Report Share Posted March 1, 2014 For those who are most interested in paper sizes:A seriesB seriesC seriesJapanese B-series variant.The German standard DIN 476Swedish extensionsColombian common sizes namingNorth American paper sizesANSI paper sizesArchitectural sizesOther sizesThe international standard: ISO 216 Visit website: http://en.wikipedia.org/wiki/Paper_size Link to comment Share on other sites More sharing options...
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