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Successive paper sizes in the series (A1, A2, A3, etc.) are defined by halving the area of the preceding paper size and rounding down, so that the long side of A(n + 1) is the same length as the short side of An. Hence, each next size is nearly exactly half the area of the prior size. So, an A1 page can fit two A2 pages inside the same area.
A1, A2, A3, A4 and non-ISO sizes as GOST 3450-60 formats. A standard for technical drawings from 1960, GOST 3450, [15] introduces alternative numeric format designations to deal with very high or very wide sheets. These 2-digit codes are based upon A4 = "11": The first digit is the factor the longer side (297 mm) is multiplied by and the second ...
A1 is half the size of a sheet of A0 (i.e., 594 mm × 841 mm), such that two sheets of A1 placed side by side are equal to one sheet of A0. A2 is half the size of a sheet of A1, and so forth. Common sizes used in the office and the home are A4 and A3 (A3 is the size of two A4 sheets).
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The size and proportions of a book depend on the size of the original full sheet. If a sheet 480 by 640 mm (19 by 25 in) is used to print a quarto, the resulting untrimmed pages, will be approximately half as large in each dimension: width 240 mm ( 9 + 1 ⁄ 2 in) and height 320 mm ( 12 + 1 ⁄ 2 in).
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A size chart illustrating the ANSI sizes. In 1992, the American National Standards Institute adopted ANSI/ASME Y14.1 Decimal Inch Drawing Sheet Size and Format, [1] which defined a regular series of paper sizes based upon the de facto standard 8 + 1 ⁄ 2 in × 11 in "letter" size to which it assigned the designation "ANSI A".