Q.E.D.: difference between revisions

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m Reverted edits by Trothmuse. If you think this rollback is in error, please leave a message on my talk page.
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Trothmuse: not clear what you mean by "no examples of this form" as there are numerous examples. It is our practice to add quotations both to the lemma and the alternative form.
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# {{alternative form of|en|QED|t=''initialism of'' '''[[quod erat demonstrandum]]'''}}
# {{alternative form of|en|QED|t=''initialism of'' '''[[quod erat demonstrandum]]'''}}
#* {{RQ:Sterne Tristram Shandy|volume=II|chapter=XIX|page=168|passage=If death, ſaid my father, reaſoning with himſelf, is nothing but the ſeparation of the ſoul from the body;—and if it is true that people can walk about and do their buſineſs without brains,—then certes the ſoul does not inhabit there. '''Q.E.D.'''}}
#* {{quote-book|en|author=Benjamin Donn|authorlink=Benjamin Donn|chapter=An Essay on Plane Geometry|title=The Geometrician: Containing Essays on Plane Geometry, and Trigonometry:{{nb...|With the Application to the Solutions of a Variety of Problems, with are of Great Use in Measuring Heights and Distances of Places, Surveying of Counties, Sea-coasts, &c.}}|edition=2nd|location=London|publisher=Sold by [[w:Joseph Johnson (publisher)|J[oseph] Johnson]],{{nb...|in St. Paul’s Church-Yard.}}|year=1775|section=paragraph 59|section=book I (The Introduction)|page=10|pageurl=https://books.google.com/books?id=gKk2AAAAMAAJ&pg=RA1-PA10|oclc=23635601|passage={{smallcaps|Theorem 2}}. ''The Angles'' <math>B</math>, <math>C</math>, ''at the Baſe of an Iſoceles Triangle'' <math>ABC</math>'', are equal to each other; and a Line'' <math>AD</math> ''biſecting the Angle'' <math>BAC</math>, ''divides the Baſe into two equal Parts, and is perpendicular thereto.'' For becauſe the Line <math>AD</math> biſects the <math>\angle A</math>, that is, makes the <math>\angle BAD = \angle CAD</math>, and Side <math>AB</math> is <math>= AC</math>, and <math>AD</math> common to both, the <math>\triangle ABD = \triangle ACD</math>; <math>\angle B = \angle C</math>, and <math>\angle ADB = \angle ADC</math>; <math>\because AD \perp</math> to <math>BC</math>. '''Q.E.D.'''}}
#* {{quote-book|en|author=Benjamin Donn|authorlink=Benjamin Donn|chapter=An Essay on Plane Geometry|title=The Geometrician: Containing Essays on Plane Geometry, and Trigonometry:{{nb...|With the Application to the Solutions of a Variety of Problems, with are of Great Use in Measuring Heights and Distances of Places, Surveying of Counties, Sea-coasts, &c.}}|edition=2nd|location=London|publisher=Sold by [[w:Joseph Johnson (publisher)|J[oseph] Johnson]],{{nb...|in St. Paul’s Church-Yard.}}|year=1775|section=paragraph 59|section=book I (The Introduction)|page=10|pageurl=https://books.google.com/books?id=gKk2AAAAMAAJ&pg=RA1-PA10|oclc=23635601|passage={{smallcaps|Theorem 2}}. ''The Angles'' <math>B</math>, <math>C</math>, ''at the Baſe of an Iſoceles Triangle'' <math>ABC</math>'', are equal to each other; and a Line'' <math>AD</math> ''biſecting the Angle'' <math>BAC</math>, ''divides the Baſe into two equal Parts, and is perpendicular thereto.'' For becauſe the Line <math>AD</math> biſects the <math>\angle A</math>, that is, makes the <math>\angle BAD = \angle CAD</math>, and Side <math>AB</math> is <math>= AC</math>, and <math>AD</math> common to both, the <math>\triangle ABD = \triangle ACD</math>; <math>\angle B = \angle C</math>, and <math>\angle ADB = \angle ADC</math>; <math>\because AD \perp</math> to <math>BC</math>. '''Q.E.D.'''}}
#* {{RQ:Irving History of New York|volume=I|chapter=IV|page=42|passage=That this part of the world has actually ''been peopled'' ('''Q.E.D.''') to support which, we have living proofs in the numerous tribes of Indians that inhabit it.}}
#* {{RQ:Scott Tales of My Landlord 2|volume=IV|chapter=VI|page=120|passage=''Ergo'', Reuben Butler might take possession of the parish of Knocktarlitie, without forfeiting his friendship or favour—'''Q.E.D.'''}}
#* {{quote-book|en|author=William Dunham|authorlink=William Dunham (mathematician)|chapter=Euler and Analytic Number Theory|title=[[w:Leonhard Euler|Euler]]: The Master of Us All|series=The Dolciani Mathematical Expositions|seriesvolume=22|location=[Washington, D.C.]|publisher={{w|Mathematical Association of America}}|year=1999|page=64|pageurl=https://books.google.com/books?id=x7p4tCPPuXoC&pg=PA64|isbn=978-0-88385-328-3|passage=By Cases 1 and 2, we see that any finite collection of <math>4k - 1</math> primes cannot contain all such primes. Thus there are infinitely many primes of this type. '''Q.E.D.'''}}
#* {{quote-book|en|author=William Dunham|authorlink=William Dunham (mathematician)|chapter=Euler and Analytic Number Theory|title=[[w:Leonhard Euler|Euler]]: The Master of Us All|series=The Dolciani Mathematical Expositions|seriesvolume=22|location=[Washington, D.C.]|publisher={{w|Mathematical Association of America}}|year=1999|page=64|pageurl=https://books.google.com/books?id=x7p4tCPPuXoC&pg=PA64|isbn=978-0-88385-328-3|passage=By Cases 1 and 2, we see that any finite collection of <math>4k - 1</math> primes cannot contain all such primes. Thus there are infinitely many primes of this type. '''Q.E.D.'''}}
#* {{quote-book|en|author=Daniel Waterland|authorlink=Daniel Waterland|chapter=A Second Defence of Some Queries Relating to Dr. Clarke’s Scheme of the Holy Trinity: In Answer to the Country Clergyman’s Reply|title=The Works of the Rev. Daniel Waterland, D.D.{{nb...|formerly Master of Magdalene College, Cambridge, Canon of Windsor, and Archdeacon of Middlesex; now First Collected and Arranged. To which is Prefixed, A Review of the Authors Life and Writings, by William van Mildert, D.D. Lord Bishop of Llandaff.}}|location=Oxford, Oxfordshire|publisher=At the [[w:Oxford University Press|Clarendon Press]]|year=1823|volume=III|section=query III|page=165|pageurl=https://books.google.com/books?id=D4YNAAAAQAAJ&pg=PA165|oclc=957692334|passage=[I]f the Son [of God] be in ''nature'' equal to the Father, he is also equal in ''Godhead'', which is a word expressing ''nature''; and if equal in ''Godhead'', equally God ''supreme''. '''Q.E.D.'''}}
#* {{quote-book|en|author=Daniel Waterland|authorlink=Daniel Waterland|chapter=A Second Defence of Some Queries Relating to Dr. Clarke’s Scheme of the Holy Trinity: In Answer to the Country Clergyman’s Reply|title=The Works of the Rev. Daniel Waterland, D.D.{{nb...|formerly Master of Magdalene College, Cambridge, Canon of Windsor, and Archdeacon of Middlesex; now First Collected and Arranged. To which is Prefixed, A Review of the Authors Life and Writings, by William van Mildert, D.D. Lord Bishop of Llandaff.}}|location=Oxford, Oxfordshire|publisher=At the [[w:Oxford University Press|Clarendon Press]]|year=1823|volume=III|section=query III|page=165|pageurl=https://books.google.com/books?id=D4YNAAAAQAAJ&pg=PA165|oclc=957692334|passage=[I]f the Son [of God] be in ''nature'' equal to the Father, he is also equal in ''Godhead'', which is a word expressing ''nature''; and if equal in ''Godhead'', equally God ''supreme''. '''Q.E.D.'''}}
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# {{alternative form of|en|QED|t=some [[fact]] or [[scenario]] that [[prove]]s an [[argument]] or [[proposition]]}}
# {{alternative form of|en|QED|t=some [[fact]] or [[scenario]] that [[prove]]s an [[argument]] or [[proposition]]}}
#* {{quote-journal|en|author=G. D. Yeats|title=Account of Ann Fooks’s Case of Ischuria and Vomiting of Urine|editors=Samuel Fothergill and John Want|journal=The Medical and Physical Journal|location=London|publisher=Published for the proprietors, by J. Adlard,{{nb...|23, Bartholomew-Close, and 39, Duke-Street, Smithfield}}; and sold by J. Souter,{{nb...|No. 1, Paternoster-Row.}}|month=February|year=1814|volume=XXXI, part 2|issue=180|page=122|pageurl=https://books.google.com/books?id=HRAUAAAAQAAJ&pg=PA122|oclc=1051228262|passage=This was exactly the '''Q.E.D.''' of the paper.}}
#* {{quote-journal|en|author=G. D. Yeats|title=Account of Ann Fooks’s Case of Ischuria and Vomiting of Urine|editors=Samuel Fothergill and John Want|journal=The Medical and Physical Journal|location=London|publisher=Published for the proprietors, by J. Adlard,{{nb...|23, Bartholomew-Close, and 39, Duke-Street, Smithfield}}; and sold by J. Souter,{{nb...|No. 1, Paternoster-Row.}}|month=February|year=1814|volume=XXXI, part 2|issue=180|page=122|pageurl=https://books.google.com/books?id=HRAUAAAAQAAJ&pg=PA122|oclc=1051228262|passage=This was exactly the '''Q.E.D.''' of the paper.}}
#* {{quote-book|en|author=William Magee|authorlink=William Magee (archbishop of Dublin)|chapter=Supplement to the Remarks on the Unitarian Version of the New Testament|title=Discourses and Dissertations on the Scriptural Doctrines of Atonement & Sacrifice;{{nb...|and on the Principal Arguments Advanced, and the Mode of Reasoning Employed, by the Opponents of Those Doctrines as Held by the Established Church: With an Appendix, Containing Some Strictures on Mr. Belsham’s Account of the Unitarian Scheme in His Review of Mr. Wilberforce’s Treatise: Together with Remarks on the Version of the New Testament lately Published by the Unitarians.}}|location=Philadelphia, Pa.|publisher=S. Potter & Co.{{nb...|No. 115, Chestnut Street.}}; Jesper Harding, printer|year=1825|volume=II|section=footnote|page=266|pageurl=https://books.google.com/books?id=moEtAAAAYAAJ&pg=PA266|oclc=191255594|passage=The Unitarian might therefore here easily produce his '''Q.E.D.''' for the exclusion of all but the maintainers of Christ's proper humanity from the pale of Christianity.}}
#* {{quote-book|en|author=“Anglicanus” [pseudonym]|chapter=Letter III|title=View of the Character, Position, and Prospects, of the Edinburgh Bible Society. In Seven Letters|location=Edinburgh|publisher=Printed for Brown & Wardlaw,{{nb...|16 St Andrew Street}}; and sold by M. Ogle,{{nb...|W. Collins, and Wardlaw & Co. Glasgow; and James Duncan, J. Hatchard & Son, and B. J. Holdsworth, London.}}|year=1827|page=24|pageurl=https://books.google.com/books?id=VN4HAAAAQAAJ&pg=PA24|oclc=1062258796|passage=Whoever starts a doubt as to the validity of any of those allegations to which he has set his '''Q.E.D.''' is indicted as a disturber of the peace.}}
#* {{quote-book|en|author=“Anglicanus” [pseudonym]|chapter=Letter III|title=View of the Character, Position, and Prospects, of the Edinburgh Bible Society. In Seven Letters|location=Edinburgh|publisher=Printed for Brown & Wardlaw,{{nb...|16 St Andrew Street}}; and sold by M. Ogle,{{nb...|W. Collins, and Wardlaw & Co. Glasgow; and James Duncan, J. Hatchard & Son, and B. J. Holdsworth, London.}}|year=1827|page=24|pageurl=https://books.google.com/books?id=VN4HAAAAQAAJ&pg=PA24|oclc=1062258796|passage=Whoever starts a doubt as to the validity of any of those allegations to which he has set his '''Q.E.D.''' is indicted as a disturber of the peace.}}



Revision as of 16:24, 23 January 2020

See also: QED

English

Phrase

(deprecated template usage) Q.E.D.

  1. Alternative form of QED (initialism of quod erat demonstrandum)
    • 1759, [Laurence Sterne], chapter XIX, in The Life and Opinions of Tristram Shandy, Gentleman, 2nd (1st London) edition, volume II, London: [] R[obert] and J[ames] Dodsley [], published 1760, →OCLC, page 168:
      If death, ſaid my father, reaſoning with himſelf, is nothing but the ſeparation of the ſoul from the body;—and if it is true that people can walk about and do their buſineſs without brains,—then certes the ſoul does not inhabit there. Q.E.D.
    • 1775, Benjamin Donn, “An Essay on Plane Geometry”, in The Geometrician: Containing Essays on Plane Geometry, and Trigonometry: [], 2nd edition, London: Sold by J[oseph] Johnson, [], →OCLC, book I (The Introduction), page 10:
      Theorem 2. The Angles , , at the Baſe of an Iſoceles Triangle , are equal to each other; and a Line biſecting the Angle , divides the Baſe into two equal Parts, and is perpendicular thereto. For becauſe the Line biſects the , that is, makes the , and Side is , and common to both, the ; , and ; to . Q.E.D.
    • 1809, Diedrich Knickerbocker [pseudonym; Washington Irving], chapter IV, in A History of New York, from the Beginning of the World to the End of the Dutch Dynasty. [], volume I, New York, N.Y.: Inskeep & Bradford, [], →OCLC, book I, page 42:
      That this part of the world has actually been peopled (Q.E.D.) to support which, we have living proofs in the numerous tribes of Indians that inhabit it.
    • 1818 July 25, Jedadiah Cleishbotham [pseudonym; Walter Scott], chapter VI, in Tales of My Landlord, Second Series, [] (The Heart of Mid-Lothian), volume IV, Edinburgh: [] [James Ballantyne and Co.] for Archibald Constable and Company, →OCLC, page 120:
      Ergo, Reuben Butler might take possession of the parish of Knocktarlitie, without forfeiting his friendship or favour—Q.E.D.
    • 1999, William Dunham, “Euler and Analytic Number Theory”, in Euler: The Master of Us All (The Dolciani Mathematical Expositions; 22), [Washington, D.C.]: Mathematical Association of America, →ISBN, page 64:
      By Cases 1 and 2, we see that any finite collection of primes cannot contain all such primes. Thus there are infinitely many primes of this type. Q.E.D.
    • 1823, Daniel Waterland, “A Second Defence of Some Queries Relating to Dr. Clarke’s Scheme of the Holy Trinity: In Answer to the Country Clergyman’s Reply”, in The Works of the Rev. Daniel Waterland, D.D. [], volume III, Oxford, Oxfordshire: At the Clarendon Press, →OCLC, query III, page 165:
      [I]f the Son [of God] be in nature equal to the Father, he is also equal in Godhead, which is a word expressing nature; and if equal in Godhead, equally God supreme. Q.E.D.

Noun

Q.E.D.

  1. Alternative form of QED (some fact or scenario that proves an argument or proposition)
    • 1814 February, G. D. Yeats, “Account of Ann Fooks’s Case of Ischuria and Vomiting of Urine”, in Samuel Fothergill and John Want, editors, The Medical and Physical Journal, volume XXXI, part 2, number 180, London: Published for the proprietors, by J. Adlard, []; and sold by J. Souter, [], →OCLC, page 122:
      This was exactly the Q.E.D. of the paper.
    • 1825, William Magee, “Supplement to the Remarks on the Unitarian Version of the New Testament”, in Discourses and Dissertations on the Scriptural Doctrines of Atonement & Sacrifice; [], volume II, Philadelphia, Pa.: S. Potter & Co. []; Jesper Harding, printer, →OCLC, footnote, page 266:
      The Unitarian might therefore here easily produce his Q.E.D. for the exclusion of all but the maintainers of Christ's proper humanity from the pale of Christianity.
    • 1827, “Anglicanus” [pseudonym], “Letter III”, in View of the Character, Position, and Prospects, of the Edinburgh Bible Society. In Seven Letters, Edinburgh: Printed for Brown & Wardlaw, []; and sold by M. Ogle, [], →OCLC, page 24:
      Whoever starts a doubt as to the validity of any of those allegations to which he has set his Q.E.D. is indicted as a disturber of the peace.

Anagrams