Brook Taylor: Difference between revisions

From Wikipedia, the free encyclopedia
Browse history interactively
← Previous edit
Content deleted Content added
VisualWikitext
RussBot (talk | contribs)
Bots
1,397,446 edits
m Robot-assisted fix links to disambiguation page English
m fix spelling of barrister
 
(278 intermediate revisions by more than 100 users not shown)
Line 1: Line 1:
{{short description|English mathematician}}
{{Infobox Scientist
{{for multi|the comedy writer|Tim Brooke-Taylor|the 19th-century diplomat|Brook Taylor (diplomat)}}
|name = Brook Taylor
{{Use dmy dates|date=January 2015}}
|box_width = 300px
{{Use British English|date=January 2015}}
|image = BTaylor.jpg|300px
{{Infobox scientist
|image_width = 300px
|caption = Brook Taylor (1685-1731)
| name = Brook Taylor
|birth_date = [[August 18]], [[1685]]
| image = BTaylor.jpg
| honorific_suffix = {{post-nominals|country=GBR|size=100%|FRS}}
|birth_place = [[Edmonton]], [[Middlesex]], [[England]]
|death_date = [[November 30]], [[1731]]
| image_size =
| caption = Engraving of Taylor c. 1720s
|death_place = [[London]], [[England]]
| birth_name = Brook Taylor
|residence = [[Image:Flag of England_(bordered).svg|20px|]] [[England]]
|citizenship =
| birth_date = 18 August 1685
|nationality = [[Image:Flag of England_(bordered).svg|20px|]] [[England|English]]
| birth_place = [[Municipal Borough of Edmonton|Edmonton]], [[Middlesex]], England
| death_date = {{Death date and age|df=y|1731|12|29|1685|8|18}}
|ethnicity =
| death_place = London, England
|field = [[Mathematician]]
| resting_place = St Ann's, Soho
|work_institutions = [[St. John's College, Cambridge]]
| citizenship = English
|alma_mater = [[St. John's College, Cambridge]]
| field = [[Mathematics]]
|doctoral_advisor = [[John Machin]] and [[John Keill]]
| work_institutions = [[St John's College, Cambridge]]
|doctoral_students =
|known_for = [[Taylor's theorem]]</br>[[Taylor's series]]
| alma_mater = [[St John's College, Cambridge]]
| academic_advisors = [[John Machin]] and [[John Keill]]
|author_abbrev_bot =
| doctoral_students =
|author_abbrev_zoo =
| known_for = [[Taylor's theorem]]<br/>[[Taylor series]]<br>[[Finite difference]]<br>[[Integration by parts]]
|influences =
|influenced =
| influences =
|prizes =
| influenced =
|religion =
| prizes =
|footnotes =
| footnotes =
|signature =
| signature =
}}
}}


'''Brook Taylor''' ('teɪlə(r)<ref>{{OED|Taylor}}</ref>)([[August 18]], [[1685]] &ndash; [[November 30]], [[1731]]) was an [[England|English]] mathematician. His is the name that is attached to [[Taylor's theorem]] and the [[Taylor series]].
''' Brook Taylor''' {{Post-nominals|FRS}} (18 August 1685 &ndash; 29 December 1731) was an English mathematician and barrister best known for several results in mathematical analysis. Taylor's most famous developments are [[Taylor's theorem]] and the [[Taylor series]], essential in the infinitesimal approach of functions in specific points.


== Life and work ==
His father was John Taylor of Bifrons House, [[Kent]], his mother was Olivia Tempest, daughter of Sir [[Nicholas Tempest]], Bart., of [[Durham]]. He was born at [[Edmonton, London|Edmonton]] (at that time in [[Middlesex]]). He entered [[St John's College, Cambridge]], as a fellow-commoner in [[1701]], and took degrees of [[Bachelor of Law|LL.B.]] and [[LL.D.]] respectively in [[1709]] and [[1714]]. Having studied [[mathematics]] under [[John Machin]] and [[John Keill]], he obtained in [[1708]] a remarkable solution of the problem of the "centre of oscillation," which, however, remaining unpublished until [[May 1714]] (Phil. Trans., vol. xxviii. p. x1), his claim to priority was unjustly disputed by [[Johann Bernoulli]]. Taylor's ''Methodus Incrementorum Directa et Inversa'' (London, [[1715]]) added a new branch to the higher mathematics, now designated the "[[calculus]] of [[finite difference]]s." Among other ingenious applications, he used it to determine the form of movement of a vibrating string, by him first successfully reduced to mechanical principles. The same work contained the celebrated formula known as [[Taylor's theorem]], the importance of which remained unrecognized until [[1772]], when [[Joseph Louis Lagrange|J. L. Lagrange]] realized its powers and termed it "le principal fondement du calcul différentiel" ("the main foundation of differential calculus").
[[File:Taylor - Methodus incrementorum directa et inversa, 1715 - 811460.tif |thumb|''Methodus incrementorum directa et inversa'', 1715]]


Brook Taylor was born in [[Edmonton, London|Edmonton]] (former [[Middlesex]]). Taylor was the son of John Taylor, MP of [[Patrixbourne]], Kent<ref>{{Cite web|title=TAYLOR, John (1655-1729), of Bifrons, Patrixbourne, Kent {{!}} History of Parliament Online|url=https://www.historyofparliamentonline.org/volume/1690-1715/member/taylor-john-1655-1729|access-date=2021-01-18|website=www.historyofparliamentonline.org}}</ref> and Olivia Tempest, the daughter of [[Sir Nicolas Tempest, 1st Baronet|Sir Nicholas Tempest]], Baronet of Durham.<ref>{{Cite book|last1=Jopling|first1=Joseph|url=https://books.google.com/books?id=m0cEAAAAYAAJ|title=Dr. Brook Taylor's Principles of Linear Perspective|last2=Taylor|first2=Brook|publisher=M. Taylor|year=1835|location=London|pages=v-xii|chapter=Memoirs of the Life of the Author}}</ref>
In his ''Essay on Linear Perspective'' (London, 1715), Taylor set forth the true principles of the art in an original and more general form than any of his predecessors; but the work suffered from the brevity and obscurity which affected most of his writings, and needed the elucidation bestowed on it in the treatises of [[Joshua Kirby]] ([[1754]]) and [[Daniel Fournier]] ([[1761]]).


He entered [[St John's College, Cambridge]], as a [[Fellow commoner|fellow-commoner]] in 1701, and took degrees in [[Bachelor of Law|LL.B.]] in 1709 and [[LL.D.]] in 1714.<ref>{{acad|id=TLR701B|name=Taylor, Brook}}</ref> Taylor studied [[mathematics]] under [[John Machin]] and [[John Keill]], leading to Taylor obtaining a solution to the problem of "[[center of oscillation]]." Taylor's solution remained unpublished until May 1714,<ref>''Phil. Trans.'', vol. xxviii, p.&nbsp;xi.</ref> when his claim to [[Scientific priority|priority]] was disputed by [[Johann Bernoulli]].
Taylor was elected a fellow of the [[Royal Society]] early in [[1712]], and in the same year sat on the committee for adjudicating the claims of Sir [[Isaac Newton]] and [[Gottfried Leibniz]], and acted as secretary to the society from [[January 13]], [[1714]] to [[October 21]], [[1718]]. From [[1715]] his studies took a philosophical and religious bent. He corresponded, in that year, with the [[Comte de Montmort]] on the subject of [[Nicolas Malebranche]]'s tenets; and unfinished treatises, ''On the Jewish Sacrifices'' and ''On the Lawfulness of Eating Blood'', written on his return from [[Aix-la-Chapelle]] in 1719, were afterwards found among his papers. His marriage in [[1721]] with Miss Brydges of [[Wallington, London|Wallington]], [[Surrey]], led to an estrangement from his father, which ended in 1723 after her death in giving birth to a son, who also died. The next two years were spent by him with his family at Bifrons, and in 1725 he married this time with his father's approval, Sabetta Sawbridge of Olantigh, Kent, who also died in childbirth in [[1730]] ; in this case, however, the child, a daughter, survived. Taylor's fragile health gave way; he fell into a decline, died at [[Somerset House]], and was buried at St Ann's, [[Soho]]. By the date of his father's death in [[1729]] he had inherited the Bifrons estate. As a mathematician, he was the only Englishman after Sir Isaac Newton and [[Roger Cotes]] capable of holding his own with the Bernoullis, but a great part of the effect of his demonstrations was lost through his failure to express his ideas fully and clearly.


Taylor's [[#CITEREFTaylor1715a|''Methodus Incrementorum Directa et Inversa'' (1715)]] ("Direct and Indirect Methods of Incrementation") added a new branch to higher mathematics, called "[[calculus]] of [[finite difference]]s". Taylor used this development to determine the form of movement in vibrating strings. Taylor also wrote the first satisfactory investigation of [[astronomical refraction]].<ref name="EB19112">{{Cite EB1911|wstitle=Taylor, Brook|volume=26|pages=467–468}}</ref><ref>{{Cite book|last=Taylor|first=Brook|url=https://books.google.com/books?id=r-Gq9YyZYXYC|title=Methodus incrementorum directa & inversa|publisher=Gulielmi Innys|year=1715a|location=London|pages=108}}</ref> The same work contains the well-known [[Taylor's theorem]], the importance of which remained unrecognized until 1772, when [[Joseph-Louis Lagrange]] realized its usefulness and termed it "the main foundation of differential calculus".<ref>"[L]e principal fondement du calcul différentiel". According to [[François-Joseph Fétis]], ({{google books|wfQ5AAAAIAAJ|Biographie universelle…|page=PA194}}, vol.&nbsp;8, p.&nbsp;194), the statement "the main foundation of differential calculus abstracted from any consideration of [[infinitesimal|infinitely small]]s and [[Limit (mathematics)|limit]]s" was first printed in the ''Journal de l'École polytechnique'', vol.&nbsp;9, p.&nbsp;5.</ref><ref name="EB1911">{{Cite EB1911 |wstitle=Taylor, Brook |volume=26 |pages=467–468}}</ref>
A posthumous work entitled ''Contemplatio Philosophica'' was printed for private circulation in [[1793]] by his grandson, Sir William Young, 2nd Bart., (d 10 Jan 1815) prefaced by a life of the author, and with an appendix containing letters addressed to him by Bolingbroke, Bossuet, etc. Several short papers by him were published in ''Phil. Trans.,'' vols. xxvii. to xxxii., including accounts of some interesting experiments in [[magnetism]] and [[capillary]] attraction. He issued in [[1719]] an improved version of his work on perspective, with the title ''New Principles of Linear Perspective'', revised by [[John Colson]] in [[1749]], and printed again, with portrait and life of the author, in [[1811]]. A French translation appeared in [[1753]] at [[Lyon]]. Taylor gave (''Methodus Incrementorum'', p. 108) the first satisfactory investigation of astronomical refraction.

In Taylor's 1715 essay [[#CITEREFTaylor1715b|''Linear Perspective'']], Taylor set forth the principles of perspective in a more understandable form, but the work suffered from brevity and obscurity problems which plagued most of his writings, meaning the essay required further explanation in the treatises of [[Joshua Kirby]] (1754) and Daniel Fournier (1761).<ref name="EB1911" /><ref>Both are disciples of Taylor's: Marlow Anderson, Victor J. Katz, Robin J. Wilson; {{Google books|B65MZ_12REEC|page=PA309|Sherlock Holmes in Babylon: And Other Tales of Mathematical History}}, p.&nbsp;309</ref>

Taylor was elected as a fellow in the [[Royal Society]] in 1712. In the same year, Taylor sat on the committee for adjudicating the claims of Sir [[Isaac Newton]] and [[Gottfried Leibniz]]. He acted as secretary to the society from 13 January 1714 to 21 October 1718.

From 1715 onward, Taylor's studies took a philosophical and religious bent. He corresponded with the [[Comte de Montmorency|Comte de Montmort]] on the subject of [[Nicolas Malebranche]]'s tenets. Unfinished treatises written on his return from [[Aix-la-Chapelle]] in 1719, ''On the Jewish Sacrifices'' and ''On the Lawfulness of Eating Blood'', were afterwards found among his papers.<ref name="EB1911"/>

Taylor was one of few English mathematicians, along with Isaac Newton and [[Roger Cotes]], who was capable of holding his own with the [[Bernoulli family|Bernoullis]], but a lack of clarity affected a great part of his demonstrations and Taylor lost brevity through his failure to express his ideas fully and clearly.<ref name="EB1911" />

His health began to fail in 1717 after years of intense work.<ref name="179305GEN">{{cite magazine |title=Review of New Publications |url=http://anno.onb.ac.at/cgi-content/anno-plus?aid=gen&datum=17930055&seite=58 |magazine=[[The Gentleman's Magazine]] |location=London |pages=436–690 |date=May 1793 |access-date=31 August 2020 }}</ref>

Taylor married Miss Brydges of [[Wallington, London|Wallington]], Surrey in 1721 without his father's approval. The marriage led to an estrangement with his father, which improved in 1723 after Taylor's wife died in childbirth while giving birth to a son. Taylor's son did not survive.

He spent the next two years with his family at Bifrons, and in 1725 he married with his father's approval, Sabetta Sawbridge of [[Olantigh]], [[Kent]]. She died in childbirth in 1730, though his only<ref name="177210GEN">{{cite magazine |title=Epitaph |url=http://anno.onb.ac.at/cgi-content/anno-plus?aid=gen&datum=17720060&seite=49 |magazine=[[The Gentleman's Magazine]] |location=London |page=487 |date=October 1772 |access-date=31 August 2020 }}</ref> daughter, Elizabeth, survived.

Taylor's father died in 1729, leaving Taylor to inherit the Bifrons estate.

Taylor died at the age of 46, on 29 December 1731, at [[Somerset House]], London.

==Selected writings==

[[File:Taylor Brook Goupy NPG.jpg|right|thumb|150px| Brook Taylor]]

Taylor's grandson, Sir William Young, printed a [[posthumous work]] entitled ''Contemplatio Philosophica'' for private circulation in 1793, (2nd Bart., 10 January 1815). The work was prefaced by a biography,<ref name="179305GEN" /> and had an appendix containing letters addressed to him by [[Henry St John, 1st Viscount Bolingbroke|Bolingbroke]], [[Jacques-Bénigne Bossuet|Bossuet]], and others.

Several short papers by Taylor were published in ''Phil. Trans.,'' vols. xxvii to xxxii, which including accounts of experiments in [[magnetism]] and [[capillary]] attraction. In 1719, Brook issued an improved version of his work on perspective, ''New Principles of Linear Perspective'', which was revised by [[John Colson]] in 1749. A French translation was published in 1757.<ref>{{google books|NKwWAAAAQAAJ|Nouveaux principes de la perspective linéaire, traduction de deux ouvrages, l'un anglais du Docteur Brook Taylor. L'autre latin, de Monsieur Patrice Murdoch. Avec un essai sur le mélange des couleurs par Newton|page=PP5}}, <!-- "Amsterdam, Wetstein"--> 1757. "Patrice Murdoch" is [[Patrick Murdoch]]. The name of the publisher and city of publication on the title page are misleading—then a common practice. [[Joseph Marie Quérard|J. M. Quérard]] writes that the book was actually published in Lyon ([https://books.google.com/books?id=vN5_-XpZSrQC&pg=365 "Murdoch (Patrice)". ''La France littéraire, ou Dictionnaire…'', vol.&nbsp;6, p.&nbsp;365]); he errs on the name of the translator, who was Antoine Rivoire (1709-1789) ([[SUDOC]] [http://www.sudoc.abes.fr/DB=2.1/SRCH?IKT=12&TRM=042753899 record]).</ref> It was reprinted, with a portrait and short biography, in 1811.

* {{citation|first=Brook|last=Taylor|title=Methodus Incrementorum Directa et Inversa|publisher=William Innys|year=1715a|location=London|url=https://books.google.com/books?id=r-Gq9YyZYXYC&pg=PP3}}.
** [http://www.17centurymaths.com/contents/taylorscontents.html Annotated English translation by Ian Bruce]
* {{citation|first=Brook|last=Taylor|title=Linear Perspective: Or, a New Method of Representing Justly All Manner of Objects as They Appear to the Eye in All Situations|year=1715b|location=London|publisher=R. Knaplock|url=http://sapienzadigitallibrary.uniroma1.it/identifier/RMSSA_00000061|archive-url=https://archive.today/20160411100727/http://sapienzadigitallibrary.uniroma1.it/identifier/RMSSA_00000061|url-status=dead|archive-date=2016-04-11}}.

== Tribute ==

[[Taylor (crater)|Taylor]] is an [[impact crater]] located on the [[Moon]], named in honor of Brook Taylor in 1935.<ref name="IAU WGPSN">{{cite web|title=Planetary Names: Crater, craters: Taylor on Moon |publisher=Gazetteer of Planetary Nomenclature |access-date=June 10, 2016 |url=http://planetarynames.wr.usgs.gov/Feature/5889}}</ref>


== References ==
== References ==
{{1911}}
{{reflist}}
{{reflist}}

== Further reading ==
* {{cite book|last=Andersen|first=Kirsti|author-link=Kirsti Andersen|title=Brook Taylor's Work on Linear Perspective|url=https://books.google.com/books?id=qMTgBwAAQBAJ&pg=PP1|year=1992|publisher=Springer Science & Business Media|isbn=978-1-4612-0935-5}}
* {{cite book|last1=Anderson|first1=Marlow|last2=Katz|first2=Victor|last3=Wilson|first3=Robin|title=Sherlock Holmes in Babylon: And Other Tales of Mathematical History|url=https://books.google.com/books?id=B65MZ_12REEC&pg=PA309|year=2004|publisher=Mathematical Association of America|isbn=978-0-88385-546-1|page=309}}
* {{cite DNB |wstitle=Taylor, Brook |last=Carlyle |first=Edward Irving |volume=55}}
* {{cite journal | last = Feigenbaum |first=Lenore | year = 1985 | title = Brook Taylor and the Method of Increments | journal = Archive for History of Exact Sciences | volume = 34 |issue=1–2 | pages = 1&ndash;140 | doi = 10.1007/BF00329903|s2cid=122105736 }}


== External links ==
== External links ==
*{{Commons category inline}}
{{wikiquote}}
* {{MacTutor Biography|id=Taylor}}
* {{MacTutor Biography|id=Taylor}}
* [[Beningbrough Hall]] has a painting by [[John Closterman]] of Taylor aged about 12 with his brothers and sisters. See also [http://www.npg.org.uk/live/search/person.asp?LinkID=mp04424 NPG 5320: ''The Children of John Taylor of Bifrons Park''] {{Webarchive|url=https://web.archive.org/web/20080524013648/http://www.npg.org.uk/live/search/person.asp?LinkID=mp04424 |date=24 May 2008 }}
* [https://books.google.com/books?id=TUcJAAAAQAAJ&q=bifrons&pg=PA755 Brook Taylor's pedigree]
* [http://planetarynames.wr.usgs.gov/Feature/5889 Taylor, a crater on the Moon named after Brook Taylor]
{{PGLE}}
{{Authority control}}


[[Category:1685 births|Taylor, Brook]]
{{DEFAULTSORT:Taylor, Brook}}
[[Category:1731 deaths|Taylor, Brook]]
[[Category:1685 births]]
[[Category:18th century mathematicians|Taylor, Brook]]
[[Category:1731 deaths]]
[[Category:British mathematicians|Taylor, Brook]]
[[Category:English mathematicians]]
[[Category:Mathematical analysts|Taylor, Brook]]
[[Category:18th-century English mathematicians]]
[[Category:Mathematical analysts]]
[[Category:Alumni of St John's College, Cambridge|Taylor, Brook]]
[[Category:Fellows of the Royal Society|Taylor, Brook]]
[[Category:Alumni of St John's College, Cambridge]]
[[Category:People from Edmonton, London|Merton, Paul]]
[[Category:Fellows of the Royal Society]]
[[Category:People from Edmonton, London]]

[[Category:Freemasons of the Premier Grand Lodge of England]]
[[bg:Брук Тейлър]]
[[ca:Brook Taylor]]
[[de:Brook Taylor]]
[[es:Brook Taylor]]
[[fr:Brook Taylor]]
[[is:Brook Taylor]]
[[it:Brook Taylor]]
[[he:ברוק טיילור]]
[[ja:ブルック・テイラー]]
[[pl:Brook Taylor]]
[[pt:Brook Taylor]]
[[ru:Тейлор, Брук]]
[[sv:Brook Taylor]]

Latest revision as of 11:21, 8 December 2023

For the comedy writer, see Tim Brooke-Taylor. For the 19th-century diplomat, see Brook Taylor (diplomat).

Brook Taylor
FRS
Engraving of Taylor c. 1720s
Born
Brook Taylor

18 August 1685
Edmonton, Middlesex, England
Died29 December 1731(1731-12-29) (aged 46)
London, England
Resting placeSt Ann's, Soho
CitizenshipEnglish
Alma materSt John's College, Cambridge
Known forTaylor's theorem
Taylor series
Finite difference
Integration by parts
Scientific career
FieldsMathematics
InstitutionsSt John's College, Cambridge
Academic advisorsJohn Machin and John Keill

Brook Taylor FRS (18 August 1685 – 29 December 1731) was an English mathematician and barrister best known for several results in mathematical analysis. Taylor's most famous developments are Taylor's theorem and the Taylor series, essential in the infinitesimal approach of functions in specific points.

Life and work[edit]

Methodus incrementorum directa et inversa, 1715

Brook Taylor was born in Edmonton (former Middlesex). Taylor was the son of John Taylor, MP of Patrixbourne, Kent[1] and Olivia Tempest, the daughter of Sir Nicholas Tempest, Baronet of Durham.[2]

He entered St John's College, Cambridge, as a fellow-commoner in 1701, and took degrees in LL.B. in 1709 and LL.D. in 1714.[3] Taylor studied mathematics under John Machin and John Keill, leading to Taylor obtaining a solution to the problem of "center of oscillation." Taylor's solution remained unpublished until May 1714,[4] when his claim to priority was disputed by Johann Bernoulli.

Taylor's Methodus Incrementorum Directa et Inversa (1715) ("Direct and Indirect Methods of Incrementation") added a new branch to higher mathematics, called "calculus of finite differences". Taylor used this development to determine the form of movement in vibrating strings. Taylor also wrote the first satisfactory investigation of astronomical refraction.[5][6] The same work contains the well-known Taylor's theorem, the importance of which remained unrecognized until 1772, when Joseph-Louis Lagrange realized its usefulness and termed it "the main foundation of differential calculus".[7][8]

In Taylor's 1715 essay Linear Perspective, Taylor set forth the principles of perspective in a more understandable form, but the work suffered from brevity and obscurity problems which plagued most of his writings, meaning the essay required further explanation in the treatises of Joshua Kirby (1754) and Daniel Fournier (1761).[8][9]

Taylor was elected as a fellow in the Royal Society in 1712. In the same year, Taylor sat on the committee for adjudicating the claims of Sir Isaac Newton and Gottfried Leibniz. He acted as secretary to the society from 13 January 1714 to 21 October 1718.

From 1715 onward, Taylor's studies took a philosophical and religious bent. He corresponded with the Comte de Montmort on the subject of Nicolas Malebranche's tenets. Unfinished treatises written on his return from Aix-la-Chapelle in 1719, On the Jewish Sacrifices and On the Lawfulness of Eating Blood, were afterwards found among his papers.[8]

Taylor was one of few English mathematicians, along with Isaac Newton and Roger Cotes, who was capable of holding his own with the Bernoullis, but a lack of clarity affected a great part of his demonstrations and Taylor lost brevity through his failure to express his ideas fully and clearly.[8]

His health began to fail in 1717 after years of intense work.[10]

Taylor married Miss Brydges of Wallington, Surrey in 1721 without his father's approval. The marriage led to an estrangement with his father, which improved in 1723 after Taylor's wife died in childbirth while giving birth to a son. Taylor's son did not survive.

He spent the next two years with his family at Bifrons, and in 1725 he married with his father's approval, Sabetta Sawbridge of Olantigh, Kent. She died in childbirth in 1730, though his only[11] daughter, Elizabeth, survived.

Taylor's father died in 1729, leaving Taylor to inherit the Bifrons estate.

Taylor died at the age of 46, on 29 December 1731, at Somerset House, London.

Selected writings[edit]

Brook Taylor

Taylor's grandson, Sir William Young, printed a posthumous work entitled Contemplatio Philosophica for private circulation in 1793, (2nd Bart., 10 January 1815). The work was prefaced by a biography,[10] and had an appendix containing letters addressed to him by Bolingbroke, Bossuet, and others.

Several short papers by Taylor were published in Phil. Trans., vols. xxvii to xxxii, which including accounts of experiments in magnetism and capillary attraction. In 1719, Brook issued an improved version of his work on perspective, New Principles of Linear Perspective, which was revised by John Colson in 1749. A French translation was published in 1757.[12] It was reprinted, with a portrait and short biography, in 1811.

  • Taylor, Brook (1715a), Methodus Incrementorum Directa et Inversa, London: William Innys.
  • Taylor, Brook (1715b), Linear Perspective: Or, a New Method of Representing Justly All Manner of Objects as They Appear to the Eye in All Situations, London: R. Knaplock, archived from the original on 11 April 2016.

Tribute[edit]

Taylor is an impact crater located on the Moon, named in honor of Brook Taylor in 1935.[13]

References[edit]

  1. ^ "TAYLOR, John (1655-1729), of Bifrons, Patrixbourne, Kent | History of Parliament Online". www.historyofparliamentonline.org. Retrieved 18 January 2021.
  2. ^ Jopling, Joseph; Taylor, Brook (1835). "Memoirs of the Life of the Author". Dr. Brook Taylor's Principles of Linear Perspective. London: M. Taylor. pp. v–xii.
  3. ^ "Taylor, Brook (TLR701B)". A Cambridge Alumni Database. University of Cambridge.
  4. ^ Phil. Trans., vol. xxviii, p. xi.
  5. ^ Chisholm, Hugh, ed. (1911). "Taylor, Brook" . Encyclopædia Britannica. Vol. 26 (11th ed.). Cambridge University Press. pp. 467–468.
  6. ^ Taylor, Brook (1715a). Methodus incrementorum directa & inversa. London: Gulielmi Innys. p. 108.
  7. ^ "[L]e principal fondement du calcul différentiel". According to François-Joseph Fétis, (Biographie universelle…, p. PA194, at Google Books, vol. 8, p. 194), the statement "the main foundation of differential calculus abstracted from any consideration of infinitely smalls and limits" was first printed in the Journal de l'École polytechnique, vol. 9, p. 5.
  8. ^ a b c d Chisholm, Hugh, ed. (1911). "Taylor, Brook" . Encyclopædia Britannica. Vol. 26 (11th ed.). Cambridge University Press. pp. 467–468.
  9. ^ Both are disciples of Taylor's: Marlow Anderson, Victor J. Katz, Robin J. Wilson; Sherlock Holmes in Babylon: And Other Tales of Mathematical History, p. PA309, at Google Books, p. 309
  10. ^ a b "Review of New Publications". The Gentleman's Magazine. London. May 1793. pp. 436–690. Retrieved 31 August 2020.
  11. ^ "Epitaph". The Gentleman's Magazine. London. October 1772. p. 487. Retrieved 31 August 2020.
  12. ^ Nouveaux principes de la perspective linéaire, traduction de deux ouvrages, l'un anglais du Docteur Brook Taylor. L'autre latin, de Monsieur Patrice Murdoch. Avec un essai sur le mélange des couleurs par Newton, p. PP5, at Google Books, 1757. "Patrice Murdoch" is Patrick Murdoch. The name of the publisher and city of publication on the title page are misleading—then a common practice. J. M. Quérard writes that the book was actually published in Lyon ("Murdoch (Patrice)". La France littéraire, ou Dictionnaire…, vol. 6, p. 365); he errs on the name of the translator, who was Antoine Rivoire (1709-1789) (SUDOC record).
  13. ^ "Planetary Names: Crater, craters: Taylor on Moon". Gazetteer of Planetary Nomenclature. Retrieved 10 June 2016.

Further reading[edit]

External links[edit]

Wikiquote has quotations related to Brook Taylor.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Brook_Taylor&oldid=1188901260"