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*''The Pathway to Knowledge, containing the First Principles of Geometry ... bothe for the use of Instrumentes Geometricall and Astronomicall, and also for Projection of Plattes'' (London, 1551)
*''The Pathway to Knowledge, containing the First Principles of Geometry ... bothe for the use of Instrumentes Geometricall and Astronomicall, and also for Projection of Plattes'' (London, 1551)
*''The Castle of Knowledge, containing the Explication of the Sphere both Celestiall and Materiall, etc.'' (London, 1556) A book explaining [[Ptolemy|Ptolemaic astronomy]] while mentioning the [[Copernican heliocentrism|Copernican heliocentric model]] in passing.
*''The Castle of Knowledge, containing the Explication of the Sphere both Celestiall and Materiall, etc.'' (London, 1556) A book explaining [[Ptolemy|Ptolemaic astronomy]] while mentioning the [[Copernican heliocentrism|Copernican heliocentric model]] in passing.
*''[[The Whetstone of Witte]], whiche is the seconde parte of Arithmeteke: containing thextraction of rootes; the cossike practise, with the rule of equation; and the workes of Surde Nombers'' (London, 1557). This was the book in which the [[equals sign]] was introduced within a printed edition.<ref name="PMC7927718" /> With the publication of this book Recorde is credited with introducing algebra into the Island of Britain with a systematic notation.<ref>{{cite book|last=Jourdain|first=Philip E. B.|year=1913|title=The Nature of Mathematics|url=https://archive.org/details/thenatureofmath00jouruoft}}</ref><ref>Robert Recorde, ''The Whetstone of Witte'' (London, England: John Kyngstone, 1557), [https://archive.org/stream/TheWhetstoneOfWitte#page/n237/mode/2up p. 236] (although the pages of this book are not numbered). From the chapter titled "The rule of equation, commonly called Algebers Rule" (p. 236): "Howbeit, for easie alteration of ''equations''. I will propounde a fewe examples, bicause the extraction of their rootes, maie the more aptly bee wroughte. And to avoide the tediouse repetition of these woordes: is equalle to: I will sette as I doe often in worke use, a paire of paralleles, or Gemowe [twin, from ''gemew'', from the French ''gemeau'' (twin / twins), from the Latin ''gemellus'' (little twin)] lines of one lengthe, thus: = , bicause noe .2. thynges, can be moare equalle." (However, for easy manipulation of ''equations'', I will present a few examples in order that the extraction of roots may be more readily done. And to avoid the tedious repetition of these words "is equal to", I will substitute, as I often do when working, a pair of parallels or twin lines of the same length, thus: = , because no two things can be more equal.)</ref>
*''[[The Whetstone of Witte]], whiche is the seconde parte of Arithmeteke: containing the extraction of rootes; the cossike practise, with the rule of equation; and the workes of Surde Nombers'' (London, 1557). This was the book in which the [[equals sign]] was introduced within a printed edition.<ref name="PMC7927718" /> With the publication of this book Recorde is credited with introducing algebra into the Island of Britain with a systematic notation.<ref>{{cite book|last=Jourdain|first=Philip E. B.|year=1913|title=The Nature of Mathematics|url=https://archive.org/details/thenatureofmath00jouruoft}}</ref><ref>Robert Recorde, ''The Whetstone of Witte'' (London, England: John Kyngstone, 1557), [https://archive.org/stream/TheWhetstoneOfWitte#page/n237/mode/2up p. 236] (although the pages of this book are not numbered). From the chapter titled "The rule of equation, commonly called Algebers Rule" (p. 236): "Howbeit, for easie alteration of ''equations''. I will propounde a fewe examples, bicause the extraction of their rootes, maie the more aptly bee wroughte. And to avoide the tediouse repetition of these woordes: is equalle to: I will sette as I doe often in worke use, a paire of paralleles, or Gemowe [twin, from ''gemew'', from the French ''gemeau'' (twin / twins), from the Latin ''gemellus'' (little twin)] lines of one lengthe, thus: = , bicause noe .2. thynges, can be moare equalle." (However, for easy manipulation of ''equations'', I will present a few examples in order that the extraction of roots may be more readily done. And to avoid the tedious repetition of these words "is equal to", I will substitute, as I often do when working, a pair of parallels or twin lines of the same length, thus: = , because no two things can be more equal.)</ref>
* A medical work, ''The Urinal of Physick'' (1548), frequently reprinted.<ref>[https://books.google.com/books?id=Sax491XagIgC ''The Urinal of Physick], by Robert Recorde, 1548; at [[Google Books]]</ref>
* A medical work, ''The Urinal of Physick'' (1548), frequently reprinted.<ref>[https://books.google.com/books?id=Sax491XagIgC ''The Urinal of Physick], by Robert Recorde, 1548; at [[Google Books]]</ref>
Most of those works were written in the form of a [[catechism]].<ref name="PMC7927718">{{cite journal|first1=David Eugene|last1=Smith|author-link1=David Eugene Smith|title=Medicine and Mathematics in the Sixteenth Century|pmc=7927718|pmid= 33943138|journal=Ann. Med. Hist.|date=July 1, 1917|volume= 1|issue=2|pages=125–140|oclc=12650954}} (here cited p. 131).</ref>
Most of those works were written in the form of a [[catechism]].<ref name="PMC7927718">{{cite journal|first1=David Eugene|last1=Smith|author-link1=David Eugene Smith|title=Medicine and Mathematics in the Sixteenth Century|pmc=7927718|pmid= 33943138|journal=Ann. Med. Hist.|date=July 1, 1917|volume= 1|issue=2|pages=125–140|oclc=12650954}} (here cited p. 131).</ref>

Revision as of 15:14, 2 June 2023

Robert Recorde
Robert Recorde (c.1512–1558)
Bornc. 1512
Tenby, Pembrokeshire, Wales
Died1558 (1559)
London, England
NationalityWelsh
Alma materUniversity of Oxford
University of Cambridge
Known forInventing the equals sign (=)
Scientific career
FieldsPhysician and mathematician
InstitutionsUniversity of Oxford
Royal Mint

Robert Recorde (c. 1512 – 1558) was a Welsh[1][2] physician and mathematician. He invented the equals sign (=) and also introduced the pre-existing plus (+) and minus (−) signs to English speakers in 1557.

Biography

Born around 1512, Robert Recorde was the second and last son of Thomas and Rose Recorde[3] of Tenby, Pembrokeshire, in Wales.[4]

Recorde entered the University of Oxford about 1525, and was elected a Fellow of All Souls College there in 1531. Having adopted medicine as a profession, he went to the University of Cambridge to take the degree of M.D. in 1545. He afterwards returned to Oxford, where he publicly taught mathematics, as he had done prior to going to Cambridge. He invented the "equals" sign, which consists of two horizontal parallel lines, stating that no two things can be more equal. It appears that he afterwards went to London, and acted as physician to King Edward VI and to Queen Mary, to whom some of his books are dedicated. He was also controller of the Royal Mint and served as Comptroller of Mines and Monies in Ireland.[5] After being sued for defamation by a political enemy, he was arrested for debt and died in the King's Bench Prison, Southwark, by the middle of June 1558.

Publications

The first known equation, equivalent to 14x + 15 = 71 in modern notation, from The Whetstone of Witte. (The solution is x = 4)
Recorde's introduction of the equals sign in The Whetstone of Witte, "to avoid tedious repetition".

Recorde published several works upon mathematical and medical subjects, chiefly in the form of dialogue between master and scholar, such as the following:

  • The Grounde of Artes, teachings the Worke and Practise, of Arithmeticke, both in whole numbers and fractions (1543),[4] the first English language book on algebra.
  • The Pathway to Knowledge, containing the First Principles of Geometry ... bothe for the use of Instrumentes Geometricall and Astronomicall, and also for Projection of Plattes (London, 1551)
  • The Castle of Knowledge, containing the Explication of the Sphere both Celestiall and Materiall, etc. (London, 1556) A book explaining Ptolemaic astronomy while mentioning the Copernican heliocentric model in passing.
  • The Whetstone of Witte, whiche is the seconde parte of Arithmeteke: containing the extraction of rootes; the cossike practise, with the rule of equation; and the workes of Surde Nombers (London, 1557). This was the book in which the equals sign was introduced within a printed edition.[6] With the publication of this book Recorde is credited with introducing algebra into the Island of Britain with a systematic notation.[7][8]
  • A medical work, The Urinal of Physick (1548), frequently reprinted.[9]

Most of those works were written in the form of a catechism.[6] Several books whose authors are unknown have been attributed to him: Cosmographiae isagoge, De Arte faciendi Horologium and De Usu Globorum et de Statu temporum.[10]

See also

Notes

  1. ^ Mazur, Joseph (21 May 2014). "Notation, notation, notation: a brief history of mathematical symbols". The Guardian. ISSN 0261-3077. Retrieved 5 May 2023.
  2. ^ Western Mail, Saturday 24 March 1928 - https://www.britishnewspaperarchive.co.uk/viewer/bl/0000104/19280324/188/0006
  3. ^ "Robert Recorde: the Welshman who invented equality". The National Wales. Archived from the original on 6 February 2022. Retrieved 6 February 2022.
  4. ^ a b Johnston, Stephen (2004). "Recorde, Robert (c. 1512–1558)". Oxford Dictionary of National Biography (online ed.). Oxford University Press. doi:10.1093/ref:odnb/23241. Retrieved 26 January 2012. (Subscription or UK public library membership required.)
  5. ^ Newman, James R. (1956). The World of Mathematics.
  6. ^ a b Smith, David Eugene (1 July 1917). "Medicine and Mathematics in the Sixteenth Century". Ann. Med. Hist. 1 (2): 125–140. OCLC 12650954. PMC 7927718. PMID 33943138. (here cited p. 131).
  7. ^ Jourdain, Philip E. B. (1913). The Nature of Mathematics.
  8. ^ Robert Recorde, The Whetstone of Witte (London, England: John Kyngstone, 1557), p. 236 (although the pages of this book are not numbered). From the chapter titled "The rule of equation, commonly called Algebers Rule" (p. 236): "Howbeit, for easie alteration of equations. I will propounde a fewe examples, bicause the extraction of their rootes, maie the more aptly bee wroughte. And to avoide the tediouse repetition of these woordes: is equalle to: I will sette as I doe often in worke use, a paire of paralleles, or Gemowe [twin, from gemew, from the French gemeau (twin / twins), from the Latin gemellus (little twin)] lines of one lengthe, thus: = , bicause noe .2. thynges, can be moare equalle." (However, for easy manipulation of equations, I will present a few examples in order that the extraction of roots may be more readily done. And to avoid the tedious repetition of these words "is equal to", I will substitute, as I often do when working, a pair of parallels or twin lines of the same length, thus: = , because no two things can be more equal.)
  9. ^ The Urinal of Physick, by Robert Recorde, 1548; at Google Books
  10. ^ John Hall, "An Historiall Expostulation", p. 60. In Early English Poetry, Ballads, and Popular Literature of the Middle Ages, v. XI. London: T. Richards, 1844

References

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