Writing Paper Sizes

Calculation of the mass of books, newspapers, or packed paper is equally trivial.

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For example, JB3 is 364 × 515, JB4 is 257 × 364, and JB5 is 182 × 257 mm. It introduces additional magnification factors and is not an international standard.

The following table shows the width and height of all ISO A and B paper formats, as well as the ISO C envelope formats.

The same principle works for books in B5 or A5 format.

Copying machines designed for ISO paper sizes usually provide special keys for the following frequently needed magnification factors: Not only the operation of copying machines in offices and libraries, but also repro photography, microfilming, and printing are simplified by the 1:sqrt(2) aspect ratio of ISO paper sizes.

The dimensions are in millimeters: The allowed tolerances are ±1.5 mm for dimensions up to 150 mm, ±2 mm for dimensions above 150 mm up to 600 mm, and ±3 mm for dimensions above 600 mm.

Some national equivalents of ISO 216 specify tighter tolerances, for instance DIN 476 requires ±1 mm, ±1.5 mm, and ±2 mm respectively for the same ranges of dimensions.Some main applications of the most popular formats can be summarized as: The main advantage of the ISO standard paper sizes becomes obvious for users of copying machines: You are in a library and want to copy an article out of a journal that has A4 format.In order to save paper, you want copy two journal pages onto each sheet of A4 paper.If you prepare a letter, you will have to know the weight of the content in order to determine the postal fee.This can be very conveniently calculated with the ISO A series paper sizes.This aspect ratio is especially convenient for a paper size.If you put two such pages next to each other, or equivalently cut one parallel to its shorter side into two equal pieces, then the resulting page will have again the same width/height ratio.If you fold this letter once to A5 format, then it will fit nicely into a C5 envelope. For example, the geometric mean of the numbers 2 and 8 is 4 (because 4/2 = 8/4), whereas their arithmetic mean is 5 (because 5−2 = 8−5).The arithmetic mean is half-way between two numbers by addition, whereas the geometric mean is half-way between two numbers by multiplication.Usual typewriter and laser printer paper weighs 80 g/m².An A0 page has an area of 1 m², and the next smaller A series page has half of this area.

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