Obelus Variants
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An obelus (plural: obeluses or obeli) is a term in
typography Typography is the art and technique of arranging type to make written language legible, readable and appealing when displayed. The arrangement of type involves selecting typefaces, point sizes, line lengths, line-spacing ( leading), ...
that refers to a historical mark which has resolved to three modern meanings: *
Division sign The division sign () is a symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate mathematical division. However, this usage, though widespread in some countries, is not u ...
*
Dagger A dagger is a fighting knife with a very sharp point and usually two sharp edges, typically designed or capable of being used as a thrusting or stabbing weapon.State v. Martin, 633 S.W.2d 80 (Mo. 1982): This is the dictionary or popular-use de ...
*
Commercial minus sign The commercial minus sign is a typographical and mathematical symbol used in commercial and financial documents in some European languages, in specific contexts. In some commercial and financial documents, especially in Germany and Scandinavia ...
(limited geographical area of use) The word "obelus" comes from (obelós), the
Ancient Greek Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic p ...
word for a sharpened stick, spit, or pointed pillar. This is the same root as that of the word '
obelisk An obelisk (; from grc, ὀβελίσκος ; diminutive of ''obelos'', " spit, nail, pointed pillar") is a tall, four-sided, narrow tapering monument which ends in a pyramid-like shape or pyramidion at the top. Originally constructed by An ...
'. In mathematics, the first symbol is mainly used in
Anglophone Speakers of English are also known as Anglophones, and the countries where English is natively spoken by the majority of the population are termed the ''Anglosphere''. Over two billion people speak English , making English the largest language ...
countries to represent the mathematical operation of
division Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...
. In editing texts, the second symbol, also called a
dagger A dagger is a fighting knife with a very sharp point and usually two sharp edges, typically designed or capable of being used as a thrusting or stabbing weapon.State v. Martin, 633 S.W.2d 80 (Mo. 1982): This is the dictionary or popular-use de ...
mark , is used to indicate erroneous or dubious content; or as a reference mark or
footnote A note is a string of text placed at the bottom of a page in a book or document or at the end of a chapter, volume, or the whole text. The note can provide an author's comments on the main text or citations of a reference work in support of th ...
indicator. It also has other uses in a variety of specialist contexts.


Use in text annotation

The modern dagger symbol originated from a variant of the obelus, originally depicted by a plain line , or a line with one or two dots . It represented an iron roasting spit, a dart, or the sharp end of a javelin, symbolizing the skewering or cutting out of dubious matter. Originally, one of these marks (or a plain line) was used in ancient manuscripts to mark passages that were suspected of being corrupted or spurious; the practice of adding such marginal notes became known as
obelism Obelism is the practice of annotating manuscripts with marks set in the margins. Modern obelisms are used by editors when proofreading a manuscript or typescript. Examples are "stet" (which is Latin for "Let it stand", used in this context to me ...
. The
dagger symbol A dagger, obelisk, or obelus is a typographical mark that usually indicates a footnote if an asterisk has already been used. The symbol is also used to indicate death (of people) or extinction (of species). It is one of the modern descenda ...
, also called an obelisk, is derived from the obelus, and continues to be used for this purpose. The obelus is believed to have been invented by the Homeric scholar
Zenodotus Zenodotus ( grc-gre, Ζηνόδοτος) was a Greek grammarian, literary critic, Homeric scholar, and the first librarian of the Library of Alexandria. A native of Ephesus and a pupil of Philitas of Cos, he lived during the reigns of the fir ...
, as one of a system of editorial symbols. They marked questionable or corrupt words or passages in manuscripts of the Homeric epics. The system was further refined by his student Aristophanes of Byzantium, who first introduced the asterisk and used a symbol resembling a for an obelus; and finally by Aristophanes' student, in turn, Aristarchus, from whom they earned the name of " Aristarchian symbols". In some commercial and financial documents, especially in Germany and Scandinavia, a variant () is used in the margins of letters to indicate an enclosure, where the upper point is sometimes replaced with the corresponding number. In Finland, the obelus (or a slight variant, \cdot \! / \! \cdot) is used as a symbol for a correct response (alongside the
check mark A check or check mark (American English), checkmark (Philippine English), tickmark (Indian English) or tick ( Australian, New Zealand English, and British English) is a mark (✓, ✔, etc.) used, primarily in the English-speaking world, to in ...
, , which is used for an ''incorrect'' response).


In mathematics

The form of the obelus as a horizontal line with a dot above and a dot below, , was first used as a symbol for
division Division or divider may refer to: Mathematics *Division (mathematics), the inverse of multiplication *Division algorithm, a method for computing the result of mathematical division Military *Division (military), a formation typically consisting ...
by the Swiss mathematician Johann Rahn in his book ''Teutsche Algebra'' in 1659. This gave rise to the modern mathematical symbol , used in anglophone countries as a
division sign The division sign () is a symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate mathematical division. However, this usage, though widespread in some countries, is not u ...
. This usage, though widespread in Anglophone countries, is neither universal nor recommended: the
ISO 80000-2 ISO 80000 or IEC 80000 is an international standard introducing the International System of Quantities (ISQ). It was developed and promulgated jointly by the International Organization for Standardization (ISO) and the International Electrotech ...
standard for
mathematical notation Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations and any other mathematical objects, and assembling them into expressions and formulas. Mathematical notation is widely used in mathem ...
recommends only the
solidus Solidus (Latin for "solid") may refer to: * Solidus (coin), a Roman coin of nearly solid gold * Solidus (punctuation), or slash, a punctuation mark * Solidus (chemistry), the line on a phase diagram below which a substance is completely solid * ...
or
fraction bar A fraction (from la, fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight ...
for division, or the colon for
ratio In mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ...
s; it says that "should not be used" for division. This form of the obelus was also occasionally used as a mathematical symbol for subtraction in Northern Europe; such usage continued in some parts of Europe (including
Norway Norway, officially the Kingdom of Norway, is a Nordic country in Northern Europe, the mainland territory of which comprises the western and northernmost portion of the Scandinavian Peninsula. The remote Arctic island of Jan Mayen and the ...
and, until fairly recently,
Denmark ) , song = ( en, "King Christian stood by the lofty mast") , song_type = National and royal anthem , image_map = EU-Denmark.svg , map_caption = , subdivision_type = Sovereign state , subdivision_name = Kingdom of Denmark , establish ...
).. Reprint of 1928 edition. In
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical ...
,
Poland Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populou ...
and
Russia Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-eig ...
, this notation is sometimes used in
engineering Engineering is the use of scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad range of more speciali ...
to denote a range of values. In some commercial and financial documents, especially in Germany and Scandinavia, another form of the obelus the
commercial minus sign The commercial minus sign is a typographical and mathematical symbol used in commercial and financial documents in some European languages, in specific contexts. In some commercial and financial documents, especially in Germany and Scandinavia ...
is used to signify a negative remainder of a division operation.


See also

* () used for obelism. * * * *
List of typographical symbols and punctuation marks Typographical symbols and punctuation marks are marks and symbols used in typography with a variety of purposes such as to help with legibility and accessibility, or to identify special cases. This list gives those most commonly encountered with ...


References

{{Wiktionary Typographical symbols