Editing Paper size (section)

=== Overview of ISO paper sizes ===
{| class="wikitable" style="text-align: center;"
|+ ISO paper sizes in portrait view (with rounded inch values)
! Format
!colspan="3"| [[#ISO A|A series]]<ref>{{cite web |url=http://www.papersizes.org/a-paper-sizes.htm |title=A Paper Sizes - A0, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10 |access-date=25 January 2017 |archive-url=https://web.archive.org/web/20161029141208/http://www.papersizes.org/a-paper-sizes.htm |archive-date=29 October 2016 |url-status=live}}</ref>
!colspan="3"| [[#ISO B|B series]]<ref>{{cite web |url=http://www.papersizes.org/b-paper-sizes.htm |title=B Paper Sizes - B0, B1, B2, B3, B4, B5, B6, B7, B8, B9, B10 |access-date=25 January 2017 |archive-url=https://web.archive.org/web/20161204151334/http://www.papersizes.org/b-paper-sizes.htm |archive-date=4 December 2016 |url-status=live}}</ref>
!colspan="3"| [[#ISO C|C series]]<ref>{{cite web |url=http://www.papersizes.org/c-envelope-sizes.htm |title=Envelope Sizes - ISO C Series & DL Envelopes |access-date=25 January 2017 |archive-url=https://web.archive.org/web/20161204141443/http://www.papersizes.org/c-envelope-sizes.htm |archive-date=4 December 2016 |url-status=live}}</ref>
|-
! rowspan="2" | Size
!colspan="2" | short × long || Notional area
!colspan="2" | short × long || Notional area
!colspan="2" | short × long || Notional area
|-
! mm || in || m{{sup|2}}
! mm || in || m{{sup|2}}
! mm || in || m{{sup|2}}
|-
! 0
|  841 × 1189 || {{nowrap|{{convert|841 x 1189|mm|1|abbr=values|disp=out}}}} {{anchor|A0}} || 2{{sup|0}} = 1 <!-- anchors in tables don't need to be subst'd -->
| 1000 × 1414 || {{nowrap|{{convert|1000 x 1414|mm|1|abbr=values|disp=out}}}} {{anchor|B0}} || 2{{sup|{{frac|1|2}}}} ≈ {{round|1.4142135624|3}}
|  917 × 1297 || {{nowrap|{{convert|917 x 1297|mm|1|abbr=values|disp=out}}}} {{anchor|C0}} || 2{{sup|{{frac|1|4}}}} ≈ {{round|1.189207115|3}}
|-
! 1 
|   594 × 841 || {{nowrap|{{convert|594 x 841|mm|1|abbr=values|disp=out}}}} {{anchor|A1}} || 1/2 = 0.5
|  707 × 1000 || {{nowrap|{{convert|707 x 1000|mm|1|abbr=values|disp=out}}}} {{anchor|B1}} || 2{{sup|−{{frac|1|2}}}} ≈ {{round|0.7071067812|3}}
|   648 × 917 || {{nowrap|{{convert|648 x 917|mm|1|abbr=values|disp=out}}}} {{anchor|C1}} || 2{{sup|−{{frac|3|4}}}} ≈ {{round|0.5946035575|3}}
|-
! 2 
|   420 × 594&nbsp;|| {{nowrap|{{convert|420 x 594|mm|1|abbr=values|disp=out}}}} {{anchor|A2}} || 1/2{{sup|2}} = 0.25
|   500 × 707 || {{nowrap|{{convert|500 x 707|mm|1|abbr=values|disp=out}}}} {{anchor|B2}} || 2{{sup|−{{frac|1|1|2}}}} ≈ {{round|0.3535533906|3}}
|   458 × 648 || {{nowrap|{{convert|458 x 648|mm|1|abbr=values|disp=out}}}} {{anchor|C2}} || 2{{sup|−{{frac|1|3|4}}}} ≈ {{round|0.2973017788|3}}
|-
! 3
|   297 × 420 || {{nowrap|{{convert|297 x 420|mm|1|abbr=values|disp=out}}}} {{anchor|A3}} || 1/2{{sup|3}} = 0.125
|   353 × 500 || {{nowrap|{{convert|353 x 500|mm|1|abbr=values|disp=out}}}} {{anchor|B3}} || 2{{sup|−{{frac|2|1|2}}}} ≈  {{round|0.1767766953|3}}
|   324 × 458 || {{nowrap|{{convert|324 x 458|mm|1|abbr=values|disp=out}}}} {{anchor|C3}} || 2{{sup|−{{frac|2|3|4}}}} ≈  {{round|0.1486508894|3}}
|-
! 4
|   210 × 297 || {{nowrap|{{convert|210 x 297|mm|1|abbr=values|disp=out}}}} {{anchor|A4}} || 1/2{{sup|4}} = 0.0625
|   250 × 353 || {{nowrap|{{convert|250 x 353|mm|1|abbr=values|disp=out}}}} {{anchor|B4}} || 2{{sup|−{{frac|3|1|2}}}} ≈  {{round|0.0883883476|3}}
|   229 × 324 || {{nowrap|{{convert|229 x 324|mm|1|abbr=values|disp=out}}}} {{anchor|C4}} || 2{{sup|−{{frac|3|3|4}}}} ≈  {{round|0.0743254447|4}}
|-
! 5
|   148 × 210 || {{nowrap|{{convert|148 x 210|mm|1|abbr=values|disp=out}}}} {{anchor|A5}} || 1/2{{sup|5}} ≈ {{round|0.03125|4}}
|   176 × 250 || {{nowrap|{{convert|176 x 250|mm|1|abbr=values|disp=out}}}} {{anchor|B5}} || 2{{sup|−{{frac|4|1|2}}}} ≈  {{round|0.0441941738|3}}
|   162 × 229 || {{nowrap|{{convert|162 x 229|mm|1|abbr=values|disp=out}}}} {{anchor|C5}} || 2{{sup|−{{frac|4|3|4}}}} ≈  {{round|0.0371627223|4}}
|-
! 6
|   105 × 148 || {{nowrap|{{convert|105 x 148|mm|1|abbr=values|disp=out}}}} {{anchor|A6}} || 1/2{{sup|6}} ≈ {{round|0.015625|4}}
|   125 × 176 || {{nowrap|{{convert|125 x 176|mm|1|abbr=values|disp=out}}}} {{anchor|B6}} || 2{{sup|−{{frac|5|1|2}}}} ≈  {{round|0.0220970869|4}}
|   114 × 162 || {{nowrap|{{convert|114 x 162|mm|1|abbr=values|disp=out}}}} {{anchor|C6}} || 2{{sup|−{{frac|5|3|4}}}} ≈  {{round|0.0185813612|4}}
|-
! 7
|    74 × 105 || {{nowrap|{{convert|74 x 105|mm|1|abbr=values|disp=out}}}} {{anchor|A7}} || 1/2{{sup|7}} ≈ {{round|0.0078125|4}}
|    88 × 125 || {{nowrap|{{convert|88 x 125|mm|1|abbr=values|disp=out}}}} {{anchor|B7}} || 2{{sup|−{{frac|6|1|2}}}} ≈  {{round|0.0110485435|4}}
|    81 × 114 || {{nowrap|{{convert|81 x 114|mm|1|abbr=values|disp=out}}}} {{anchor|C7}} || 2{{sup|−{{frac|6|3|4}}}} ≈  {{round|0.0092906806|4}}
|-
! 8
|     52 × 74 || {{nowrap|{{convert|52 x 74|mm|1|abbr=values|disp=out}}}} {{anchor|A8}} || 1/2{{sup|8}} ≈ {{round|0.00390625|4}}
|     62 × 88 || {{nowrap|{{convert|62 x 88|mm|1|abbr=values|disp=out}}}} {{anchor|B8}} || 2{{sup|−{{frac|7|1|2}}}} ≈  {{round|0.0055242717|4}}
|     57 × 81 || {{nowrap|{{convert|57 x 81|mm|1|abbr=values|disp=out}}}} {{anchor|C8}} || 2{{sup|−{{frac|7|3|4}}}} ≈  {{round|0.0046453403|4}}
|-
! 9
|     37 × 52 || {{nowrap|{{convert|37 x 52|mm|1|abbr=values|disp=out}}}} {{anchor|A9}} || 1/2{{sup|9}} ≈ {{round|0.001953125|4}}
|     44 × 62 || {{nowrap|{{convert|44 x 62|mm|1|abbr=values|disp=out}}}} {{anchor|B9}} || 2{{sup|−{{frac|8|1|2}}}} ≈  {{round|0.0027621359|4}}
|     40 × 57 || {{nowrap|{{convert|40 x 57|mm|1|abbr=values|disp=out}}}} {{anchor|C9}} || 2{{sup|−{{frac|8|3|4}}}} ≈  {{round|0.0023226701|4}}
|-
! 10
|     26 × 37 || {{nowrap|{{convert|26 x 37|mm|1|abbr=values|disp=out}}}} {{anchor|A10}} || 1/2{{sup|10}} ≈ {{round|0.0009765625|5}}
|     31 × 44 || {{nowrap|{{convert|31 x 44|mm|1|abbr=values|disp=out}}}} {{anchor|B10}} || 2{{sup|−{{frac|9|1|2}}}} ≈  {{round|0.0013810679|4}}
|     28 × 40 || {{nowrap|{{convert|28 x 40|mm|1|abbr=values|disp=out}}}} {{anchor|C10}} || 2{{sup|−{{frac|9|3|4}}}} ≈  {{round|0.0011613351|4}}
|-
!''i''
| colspan=3| <math>\left(\alpha_A\cdot r^{i+1}\right) \times \left(\alpha_A\cdot r^{i}\right),</math> where {{pb}}<math>\alpha_A = \sqrt[4]{2}\,\text{m}; r=\tfrac{1}{\sqrt{2}}</math>
| colspan=3| <math>\left(\alpha_B\cdot r^{i+1}\right) \times \left(\alpha_B\cdot r^{i}\right),</math> where {{pb}}<math>\alpha_B = \sqrt{2}\,\text{m}; r=\tfrac{1}{\sqrt{2}}</math>
| colspan=3| <math>\left(\alpha_C\cdot r^{i+1}\right) \times \left(\alpha_C\cdot r^{i}\right),</math> where {{pb}}<math>\alpha_C = \sqrt[8]{8}\,\text{m}; r=\tfrac{1}{\sqrt{2}}</math>
|}

The <math>\alpha</math> variables are the distinct first terms in the three [[geometric progression]]s of the same ''common ratio'' equal to the square root of two. Each of the three geometric progressions (corresponding to the three [[#ISO A|series A]], [[#ISO B|B]], and [[#ISO C|C]]) is formed by all possible paper dimensions (length and width) of the series arranged in decreasing order. This interesting arrangement of dimensions is also very useful—not only does it form a geometric progression with easy-to-remember formulae, but also each consecutive pair of values (like a sliding window of size 2) will automatically correspond to the dimensions of a standard paper format in the series.

The [[tolerances]] specified in the standard are

* ±{{cvt|1.5|mm|in}} for dimensions up to {{cvt|150|mm|in}},
* ±{{cvt|2|mm|in}} for lengths in the range {{cvt|150 to 600|mm|in}} and
* ±{{cvt|3|mm|in}} for any dimension above {{cvt|600|mm|in}}.