HOME

TheInfoList



OR:

An obelus (plural: obeluses or obeli) is a term in
codicology Codicology (; from French ''codicologie;'' from Latin , genitive , "notebook, book" and Greek , ''-logia'') is the study of codices or manuscript books. It is often referred to as "the archaeology of the book," a term coined by François Masai. ...
and latterly in
typography Typography is the art and technique of Typesetting, arranging type to make written language legibility, legible, readability, readable and beauty, appealing when displayed. The arrangement of type involves selecting typefaces, Point (typogra ...
that refers to a historical annotation mark which has resolved to three modern meanings: *
Division sign The division sign () is a mathematical symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate the operation of division. This usage is not universal and the symbol has d ...
*
Dagger A dagger is a fighting knife with a very sharp point and usually one or two sharp edges, typically designed or capable of being used as a cutting or stabbing, thrusting weapon.State v. Martin, 633 S.W.2d 80 (Mo. 1982): This is the dictionary or ...
*
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 classical antiquity, ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Greek ...
word for a sharpened stick, spit, or pointed pillar. This is the same root as that of the word '
obelisk An obelisk (; , diminutive of (') ' spit, nail, pointed pillar') is a tall, slender, tapered monument with four sides and a pyramidal or pyramidion top. Originally constructed by Ancient Egyptians and called ''tekhenu'', the Greeks used th ...
'. In mathematics, the first symbol is mainly used in
Anglophone The English-speaking world comprises the 88 countries and territories in which English is an official, administrative, or cultural language. In the early 2000s, between one and two billion people spoke English, making it the largest language ...
countries to represent the mathematical operation of division and is called an obelus. In editing texts, the second symbol, also called a
dagger A dagger is a fighting knife with a very sharp point and usually one or two sharp edges, typically designed or capable of being used as a cutting or stabbing, thrusting weapon.State v. Martin, 633 S.W.2d 80 (Mo. 1982): This is the dictionary or ...
mark is used to indicate erroneous or dubious content; or as a reference mark or
footnote In publishing, a note is a brief text in which the author comments on the subject and themes of the book and names supporting citations. In the editorial production of books and documents, typographically, a note is usually several lines of tex ...
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 A javelin is a light spear designed primarily to be thrown, historically as a ranged weapon. Today, the javelin is predominantly used for sporting purposes such as the javelin throw. The javelin is nearly always thrown by hand, unlike the sling ...
, 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 m ...
. The dagger symbol , 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 () 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 first two Ptolemies, and was at ...
, as one of a system of editorial symbols. They marked questionable or corrupt words or passages in manuscripts of the
Homeric epics Homer (; , ; possibly born ) was an Ancient Greek poet who is credited as the author of the ''Iliad'' and the ''Odyssey'', two epic poems that are foundational works of ancient Greek literature. Despite doubts about his authorship, Homer is ...
. The system was further refined by his student
Aristophanes of Byzantium __NOTOC__ Aristophanes of Byzantium ( ; Byzantium – Alexandria BC) was a Hellenistic Greek scholar, critic and grammarian, particularly renowned for his work in Homeric scholarship, but also for work on other classical authors such as ...
, who first introduced the
asterisk The asterisk ( ), from Late Latin , from Ancient Greek , , "little star", is a Typography, typographical symbol. It is so called because it resembles a conventional image of a star (heraldry), heraldic star. Computer scientists and Mathematici ...
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 Aristarchian symbols are editorial marks developed during the Hellenistic period and the early Roman Empire for annotating then-ancient Greek texts—mainly the works of Homer. They were used to highlight missing text, text which was discrepant be ...
". 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 The check or check mark (American English), checkmark ( Philippine English), tickmark ( Indian English) or tick ( Australian, New Zealand and British English) is a mark (✓, ✔, etc.) used in many countries, including the English-speaking ...
, , which is used for an ''incorrect'' response). In the 7.0 release of Unicode, was one of a group of "Ancient Greek textual symbols" that were added to the specification (in the block Supplemental Punctuation).


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 by the
Swiss Swiss most commonly refers to: * the adjectival form of Switzerland * Swiss people Swiss may also refer to: Places * Swiss, Missouri * Swiss, North Carolina * Swiss, West Virginia * Swiss, Wisconsin Other uses * Swiss Café, an old café located ...
mathematician
Johann Rahn Johann Rahn (Latinised form Rhonius) (10 March 1622 – 25 May 1676) was a Swiss mathematician who is credited with the first use of the division sign, ÷ (a repurposed obelus An obelus (plural: obeluses or obeli) is a term in codicology ...
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 mathematical symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate the operation of division. This usage is not universal and the symbol has d ...
. This usage, though widespread in Anglophone countries, is neither universal nor recommended: the
ISO 80000-2 ISO/IEC 80000, ''Quantities and units'', is an international standard describing the International System of Quantities (ISQ). It was developed and promulgated jointly by the International Organization for Standardization (ISO) and the In ...
standard for
mathematical notation Mathematical notation consists of using glossary of mathematical symbols, symbols for representing operation (mathematics), operations, unspecified numbers, relation (mathematics), relations, and any other mathematical objects and assembling ...
recommends only the
solidus Solidus (Latin for "solid") may refer to: * Solidus (coin) The ''solidus'' (Latin 'solid'; : ''solidi'') or ''nomisma'' () was a highly pure gold coin issued in the Later Roman Empire and Byzantine Empire. It was introduced in the early ...
or fraction bar 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. The ambiguity of mathematical expressions that involve the obelus and implicit multiplication has become a subject of Internet memes. This form of the obelus was also occasionally used as a mathematical symbol for
subtraction Subtraction (which is signified by the minus sign, –) is one of the four Arithmetic#Arithmetic operations, arithmetic operations along with addition, multiplication and Division (mathematics), division. Subtraction is an operation that repre ...
in Northern Europe; such usage continued in some parts of Europe (including
Norway Norway, officially the Kingdom of Norway, is a Nordic countries, Nordic country located on the Scandinavian Peninsula in Northern Europe. The remote Arctic island of Jan Mayen and the archipelago of Svalbard also form part of the Kingdom of ...
and, until fairly recently,
Denmark Denmark is a Nordic countries, Nordic country in Northern Europe. It is the metropole and most populous constituent of the Kingdom of Denmark,, . also known as the Danish Realm, a constitutionally unitary state that includes the Autonomous a ...
).. Reprint of 1928 edition. In
Italy Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land b ...
,
Poland Poland, officially the Republic of Poland, is a country in Central Europe. It extends from the Baltic Sea in the north to the Sudetes and Carpathian Mountains in the south, bordered by Lithuania and Russia to the northeast, Belarus and Ukrai ...
and
Russia Russia, or the Russian Federation, is a country spanning Eastern Europe and North Asia. It is the list of countries and dependencies by area, largest country in the world, and extends across Time in Russia, eleven time zones, sharing Borders ...
, this notation is sometimes used in
engineering Engineering is the practice of using natural science, mathematics, and the engineering design process to Problem solving#Engineering, solve problems within technology, increase efficiency and productivity, and improve Systems engineering, s ...
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. * * * also known as an ''obelos''. *
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