What does algebraical mean?
Algebraical is an adjective meaning relating to, involving, or expressed in algebra — the branch of mathematics that uses letters and symbols to represent numbers and quantities in equations and formulas. It can describe anything from an algebraical equation or expression to an algebraical method of solving a problem. The word is essentially an older variant of the far more common term 'algebraic', and while it once appeared regularly in British and American mathematical texts, modern usage has largely abandoned it in favor of its shorter counterpart. Readers today are most likely to encounter 'algebraical' in historical works, antique textbooks, or archival scientific papers from the eighteenth and nineteenth centuries. Its ultimate origin traces back through medieval Latin to the Arabic phrase al-jabr, part of the title of the ninth-century treatise by the Persian mathematician al-Khwarizmi that gave algebra its name. Though rarely used today, the word remains a legitimate English adjective and serves as a reminder of how mathematical vocabulary has been streamlined over time.
adjectiveRelating to, involving, or expressed in algebra; of or pertaining to the branch of mathematics that uses symbols and letters to represent numbers and quantities.
- Relating to or involving algebra as a branch of mathematics.
- Expressed by means of algebraic symbols or equations.
"The student solved the puzzle using an algebraical method rather than trial and error."
"The proof relied on an elegant algebraical identity."
"In his 18th-century treatise, the author referred to algebraical reasoning throughout."
Before 'algebraic' took over, mathematicians wrote 'algebraical' — a word whose very root, Arabic al-jabr, means 'the reunion of broken parts'.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Etymology of algebraical
Algebraical derives from 'algebra', which entered European languages from medieval Latin 'algebra', itself borrowed from Arabic al-jabr ('the reunion of broken parts'), a term made famous by the ninth-century Persian mathematician al-Khwarizmi's treatise on calculation. The suffix '-ical' was added in English to form an adjective, following the common pattern of '-ic' plus '-al'. The word has been used since at least the early modern period but has steadily given way to the simpler form 'algebraic'. Related borrowings from the same Arabic mathematical tradition include 'algorithm' and the older 'algorism'.
Related word forms
How algebraical is actually used
Algebraical is now largely archaic or old-fashioned; contemporary mathematical writing almost always uses 'algebraic' instead. It may still appear in older textbooks and historical literature.
Easily confused with algebraical
Algebraical is simply a less common, older variant spelling and pronunciation of algebraic; both mean 'relating to algebra', but modern usage overwhelmingly prefers algebraic.