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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.
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B1 is between A0 and A1 in size, with an area of m 2, or about 0.707 m 2. As a result, B0 is 1 metre wide, and other sizes of the series are a half, a quarter, or further fractions of a metre wide: in general, every B size has exactly one side of length 1 m 2 n {\displaystyle {\frac {1\operatorname {m} }{2^{n}}}} for n ∈ N {\displaystyle n\in ...
In the US, size names are often denoted with a code of the format nR, where the number n represents the length of the shorter edge in inches. In the normal series, the long edge is the length of the short edge plus 2 inches (10 in or less) or 3 inches (11 in and above).
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An octavo page, oriented a quarter turn from the full sheet, would have height 240 mm (9 + 1 ⁄ 2 in)— 1 ⁄ 2 in × 19 —and width 160 mm (6 + 1 ⁄ 4 in)— 1 ⁄ 4 in × 25. The sizes of books of the same format will differ in proportion to the full sheets used to print them.
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