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{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+ ISO 269 sizes
(millimeter)|-!colspan="2"| C Series|-| C0 || 917 × 1297|-| C1 || 648 × 917|-| C2 || 458 × 648|-| C3 || 324 × 458|-| C4 || 229 × 324|-| C5 || 162 × 229|-| C6 || 114 × 162|-| C7/6 || 81 × 162|-| C7 || 81 × 114|-| C8 || 57 × 81|-| C9 || 40 × 57|-| C10 || 28 × 40|-| DL || 110 × 220|}{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+ ISO 216 sizes
(millimeter)|-!colspan="2"| A Series|-| A0 || 841 × 1189|-| A1 || 594 × 841|-| A2 || 420 × 594|-| A3 || 297 × 420|-| A4 || 210 × 297|-| A5 || 148 × 210|-| A6 || 105 × 148|-| A7 || 74 × 105|-| A8 || 52 × 74|-| A9 || 37 × 52|-| A10 || 26 × 37|-!colspan="2"| B Series|-| B0 || 1000 × 1414|-| B1 || 707 × 1000|-| B2 || 500 × 707|-| B3 || 353 × 500|-| B4 || 250 × 353|-| B5 || 176 × 250|-| B6 || 125 × 176|-| B7 || 88 × 125|-| B8 || 62 × 88|-| B9 || 44 × 62|-| B10 || 31 × 44|}ISO 216 specifies International Organization for Standardization (ISO) paper sizes used in most countries in the world today. It is the standard which defines the well-known A4 paper size.

The international ISO standard is based on the Germany Deutsches Institut für Normung standard 476 (DIN 476) from 1922. Some of the formats contained therein were independently invented in France during its revolution and later forgotten. The aspect ratio used by this norm was mentioned in a letter by the German Georg Christoph Lichtenberg written 1786-10-25.



A series Paper in the A series format has a 1:\sqrt{2} aspect ratio, although this is rounded to the nearest millimeter. A0 is defined so that it has an area of 1 square metre, prior to the above mentioned rounding. Successive paper sizes in the series (A1, A2, A3, etc.) are defined by halving the preceding paper size parallel to its shorter side, again prior to rounding. The most frequently used of this series is the size A4 (210 × 297 mm). A4 paper is 6 mm narrower and 18 mm longer than the "Letter (paper size)" paper size, 8½ × 11 inches (216 × 279 mm), commonly used in North America.

The formula that gives the larger border of the paper size An in metres and without rounding off is the geometric sequence: a_n = 2^{\frac{1}{4} - \frac{n}{2-->. The paper size An thus has the dimension a_n × a_{n+1}.

B series The B series formats are geometric means between the A series format with the same number and the A series format with one lower number. For example, B1 is a geometric mean between A1 and A0. The sides of B0 are 1 m to \sqrt{2} m.

There is also an incompatible Japanese B series defined by the Japanese Industrial Standard. The lengths of JIS B series paper are approximately 1.22 times those of A-series paper.

C series The C series formats are geometric means between the B series format with the same number and the A series format with the same number, (e.g., C2 is the geometric mean between B2 and A2). The C series formats are used mainly for envelopes. An A4 page will fit into a C4 envelope. C series envelopes follow the same ratio principle as the A series pages. For example, if an A4 page is folded in half so that it is A5 in size, it will fit into a C5 envelope (which will be the same size as a C4 envelope folded in half).

Tolerances The tolerances specified in the standard are

A, B, C comparison {| class="wikitable"|+ ISO/DIN paper sizes in millimetres and in inches! colspan="1" |! colspan="2" | A Series Formats! colspan="2" | B Series Formats! colspan="2" | C Series Formats|- align="CENTER"| size| mm| inches| mm| inches| mm| inches|- align="CENTER"| 0| 841 × 1189| 33.1 × 46.8| 1000 × 1414| 39.4 × 55.7| 917 × 1297| 36.1 × 51.1|- align="CENTER"| 1| 594 × 841| 23.4 × 33.1| 707 × 1000| 27.8 × 39.4| 648 × 917| 25.5 × 36.1|- align="CENTER"| 2| 420 × 594| 16.5 × 23.4| 500 × 707| 19.7 × 27.8| 458 × 648| 18.0 × 25.5|- align="CENTER"| 3| 297 × 420| 11.7 × 16.5| 353 × 500| 13.9 × 19.7| 324 × 458| 12.8 × 18.0|- align="CENTER"| 4| 210 × 297| 8.3 × 11.7| 250 × 353| 9.8 × 13.9| 229 × 324| 9.0 × 12.8|- align="CENTER"| 5| 148 × 210| 5.8 × 8.3| 176 × 250| 6.9 × 9.8| 162 × 229| 6.4 × 9.0|- align="CENTER"| 6| 105 × 148| 4.1 × 5.8| 125 × 176| 4.9 × 6.9| 114 × 162| 4.5 × 6.4|- align="CENTER"| 7| 74 × 105| 2.9 × 4.1| 88 × 125| 3.5 × 4.9| 81 × 114| 3.2 × 4.5|- align="CENTER"| 8| 52 × 74| 2.0 × 2.9| 62 × 88| 2.4 × 3.5| 57 × 81| 2.2 × 3.2|- align="CENTER"| 9| 37 × 52| 1.5 × 2.0| 44 × 62| 1.7 × 2.4| 40 × 57| 1.6 × 2.2|- align="CENTER"| 10| 26 × 37| 1.0 × 1.5| 31 × 44| 1.2 × 1.7| 28 × 40| 1.1 × 1.6|-| | colspan="2" | | colspan="2" | | colspan="2" | |}

Application Before the adoption of ISO 216, many different paper formats were used internationally. These formats did not fit into a coherent system and were defined in terms of non-metric units.

The ISO 216 formats are organized around the ratio 1:\sqrt{2}; two sheets next to each other together have the same ratio, sideways. This simplifies copying two A4 sheets in reduced size onto one A4 sheet, copying an A4 sheet in magnified size on an A3 sheet, or copying half an A4 sheet in magnified size on an A4 sheet. The principal countries not generally using the ISO paper sizes are the United States and Canada, which use the Paper size#Loose sizes. (Canada uses a P-series of sizes, which are the US paper sizes rounded to metric dimensions.)

rectangle sheets of paper with the ratio 1:\sqrt{2} are popular in paper folding, where they are sometimes called "A4 rectangles" or "silver rectangles". (Confusingly, "silver rectangle" can also refer to a rectangle in the proportion 1:(1+\sqrt{2})), known as the silver ratio.)

See also

External links

{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+ ISO 269 sizes
(millimeter)|-!colspan="2"| C Series|-| C0 || 917 × 1297|-| C1 || 648 × 917|-| C2 || 458 × 648|-| C3 || 324 × 458|-| C4 || 229 × 324|-| C5 || 162 × 229|-| C6 || 114 × 162|-| C7/6 || 81 × 162|-| C7 || 81 × 114|-| C8 || 57 × 81|-| C9 || 40 × 57|-| C10 || 28 × 40|-| DL || 110 × 220|}{| class="wikitable" style="float:right; margin-left: 0.5em; text-align: '×';"|+ ISO 216 sizes
(millimeter)|-!colspan="2"| A Series|-| A0 || 841 × 1189|-| A1 || 594 × 841|-| A2 || 420 × 594|-| A3 || 297 × 420|-| A4 || 210 × 297|-| A5 || 148 × 210|-| A6 || 105 × 148|-| A7 || 74 × 105|-| A8 || 52 × 74|-| A9 || 37 × 52|-| A10 || 26 × 37|-!colspan="2"| B Series|-| B0 || 1000 × 1414|-| B1 || 707 × 1000|-| B2 || 500 × 707|-| B3 || 353 × 500|-| B4 || 250 × 353|-| B5 || 176 × 250|-| B6 || 125 × 176|-| B7 || 88 × 125|-| B8 || 62 × 88|-| B9 || 44 × 62|-| B10 || 31 × 44|}ISO 216 specifies International Organization for Standardization (ISO) paper sizes used in most countries in the world today. It is the standard which defines the well-known A4 paper size.

The international ISO standard is based on the Germany Deutsches Institut für Normung standard 476 (DIN 476) from 1922. Some of the formats contained therein were independently invented in France during its revolution and later forgotten. The aspect ratio used by this norm was mentioned in a letter by the German Georg Christoph Lichtenberg written 1786-10-25.



A series Paper in the A series format has a 1:\sqrt{2} aspect ratio, although this is rounded to the nearest millimeter. A0 is defined so that it has an area of 1 square metre, prior to the above mentioned rounding. Successive paper sizes in the series (A1, A2, A3, etc.) are defined by halving the preceding paper size parallel to its shorter side, again prior to rounding. The most frequently used of this series is the size A4 (210 × 297 mm). A4 paper is 6 mm narrower and 18 mm longer than the "Letter (paper size)" paper size, 8½ × 11 inches (216 × 279 mm), commonly used in North America.

The formula that gives the larger border of the paper size An in metres and without rounding off is the geometric sequence: a_n = 2^{\frac{1}{4} - \frac{n}{2-->. The paper size An thus has the dimension a_n × a_{n+1}.

B series The B series formats are geometric means between the A series format with the same number and the A series format with one lower number. For example, B1 is a geometric mean between A1 and A0. The sides of B0 are 1 m to \sqrt{2} m.

There is also an incompatible Japanese B series defined by the Japanese Industrial Standard. The lengths of JIS B series paper are approximately 1.22 times those of A-series paper.

C series The C series formats are geometric means between the B series format with the same number and the A series format with the same number, (e.g., C2 is the geometric mean between B2 and A2). The C series formats are used mainly for envelopes. An A4 page will fit into a C4 envelope. C series envelopes follow the same ratio principle as the A series pages. For example, if an A4 page is folded in half so that it is A5 in size, it will fit into a C5 envelope (which will be the same size as a C4 envelope folded in half).

Tolerances The tolerances specified in the standard are

A, B, C comparison {| class="wikitable"|+ ISO/DIN paper sizes in millimetres and in inches! colspan="1" |! colspan="2" | A Series Formats! colspan="2" | B Series Formats! colspan="2" | C Series Formats|- align="CENTER"| size| mm| inches| mm| inches| mm| inches|- align="CENTER"| 0| 841 × 1189| 33.1 × 46.8| 1000 × 1414| 39.4 × 55.7| 917 × 1297| 36.1 × 51.1|- align="CENTER"| 1| 594 × 841| 23.4 × 33.1| 707 × 1000| 27.8 × 39.4| 648 × 917| 25.5 × 36.1|- align="CENTER"| 2| 420 × 594| 16.5 × 23.4| 500 × 707| 19.7 × 27.8| 458 × 648| 18.0 × 25.5|- align="CENTER"| 3| 297 × 420| 11.7 × 16.5| 353 × 500| 13.9 × 19.7| 324 × 458| 12.8 × 18.0|- align="CENTER"| 4| 210 × 297| 8.3 × 11.7| 250 × 353| 9.8 × 13.9| 229 × 324| 9.0 × 12.8|- align="CENTER"| 5| 148 × 210| 5.8 × 8.3| 176 × 250| 6.9 × 9.8| 162 × 229| 6.4 × 9.0|- align="CENTER"| 6| 105 × 148| 4.1 × 5.8| 125 × 176| 4.9 × 6.9| 114 × 162| 4.5 × 6.4|- align="CENTER"| 7| 74 × 105| 2.9 × 4.1| 88 × 125| 3.5 × 4.9| 81 × 114| 3.2 × 4.5|- align="CENTER"| 8| 52 × 74| 2.0 × 2.9| 62 × 88| 2.4 × 3.5| 57 × 81| 2.2 × 3.2|- align="CENTER"| 9| 37 × 52| 1.5 × 2.0| 44 × 62| 1.7 × 2.4| 40 × 57| 1.6 × 2.2|- align="CENTER"| 10| 26 × 37| 1.0 × 1.5| 31 × 44| 1.2 × 1.7| 28 × 40| 1.1 × 1.6|-| | colspan="2" | | colspan="2" | | colspan="2" | |}

Application Before the adoption of ISO 216, many different paper formats were used internationally. These formats did not fit into a coherent system and were defined in terms of non-metric units.

The ISO 216 formats are organized around the ratio 1:\sqrt{2}; two sheets next to each other together have the same ratio, sideways. This simplifies copying two A4 sheets in reduced size onto one A4 sheet, copying an A4 sheet in magnified size on an A3 sheet, or copying half an A4 sheet in magnified size on an A4 sheet. The principal countries not generally using the ISO paper sizes are the United States and Canada, which use the Paper size#Loose sizes. (Canada uses a P-series of sizes, which are the US paper sizes rounded to metric dimensions.)

rectangle sheets of paper with the ratio 1:\sqrt{2} are popular in paper folding, where they are sometimes called "A4 rectangles" or "silver rectangles". (Confusingly, "silver rectangle" can also refer to a rectangle in the proportion 1:(1+\sqrt{2})), known as the silver ratio.)

See also

External links



ISO 216 - Wikipedia, the free encyclopedia
ISO 216 specifies international standard (ISO) paper sizes used in most countries in the world today. It is the standard which defines the commonly available A4 paper size.

A4 paper format / International standard paper sizes
This text explains the ISO 216 paper size system and the ideas behind its design. The ISO paper size concept. In the ISO paper size system, the height-to-width ratio of all pages is ...

ISO 216: Main
ISO 216 is the work and interests of George Morgan, who is currently doing a one year Art Foundation course at the Bristol School of Art. ISO 216 is also the international standard ...

Paper size - Wikipedia, the free encyclopedia
The international paper size standard, ISO 216, is based on the German DIN 476 standard for paper sizes. Using the metric system, the base format is a sheet of paper measuring 1 m² ...

ISO Standards Development:ISOTC home:ISO/TC 216 "Footwear":ISO/TC 216
ISO Standards Development ISOTC home ISO/TC 216 "Footwear" ISO/TC 216

ISO Standards Development:ISOTC home:ISO/TC 216 "Footwear"
ISO Standards Development ISOTC home ISO/TC 216 "Footwear"

ISO 216 - Wikipédia
La norme internationale ISO 216 (ICS n° 85.080.10) définit les formats de papier ISO, utilisés dans la plupart des pays aujourd'hui. C'est lui qui définit le célèbre format ...

ISO 216 - Wikipedia
L' ISO 216 è la norma che descrive i formati di carta usati al giorno d'oggi in numerosi paesi, specialmente in Europa. Negli Stati Uniti d'America ed in Canada sopravvive una ...

ISO 216 - Wikipedia, la enciclopedia libre
La norma ISO 216 de la Organización Internacional para la Estandarización (International Organization for Standardization, ISO) especifica los formatos de papel y es usada ...

ISO - Page non trouvée
Les Normes internationales pour les entreprises, les gouvernements et la société

 

Iso 216



 
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