{"id":42480,"date":"2018-06-29T11:22:54","date_gmt":"2018-06-29T10:22:54","guid":{"rendered":"https:\/\/blogs.bmj.com\/bmj\/?p=42480"},"modified":"2018-07-12T09:33:24","modified_gmt":"2018-07-12T08:33:24","slug":"jeffrey-aronson-use-word-circle-squarers-st-vitus","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/","title":{"rendered":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus"},"content":{"rendered":"<p><a href=\"https:\/\/blogs.bmj.com\/bmj\/files\/2014\/12\/jeffrey_aronson.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft wp-image-32935\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2014\/12\/jeffrey_aronson-223x300.jpg\" alt=\"jeffrey_aronson\" width=\"122\" height=\"146\" \/><\/a><span style=\"font-weight: 400\"><span style=\"font-weight: 400\">As I discussed <\/span><a href=\"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/22\/jeffrey-aronson-when-i-use-a-word-the-days-of-pi\"><span style=\"font-weight: 400\">last week<\/span><\/a><span style=\"font-weight: 400\">, pi (\u03c0) is a transcendental number, 3.1415926535&#8230;, whose decimal expansion never ends. It is therefore impossible to do what ancient mathematicians were keen to do, namely to draw a square that has exactly the same area as a given circle. This process is known as squaring the circle, which has become a byword for doing something impossible. The earliest recorded instance is from a sermon of John Donne, preached at St Paul\u2019s on Christmas Day 1624: \u201cGod is a circle himselfe, and he will make thee one; Goe not thou about to square eyther circle [i.e. neither God nor yourself], to bring that which is equall in it selfe, to Angles, and Corners, into dark and sad suspicions of God, or of thy selfe, that God can give, or that thou canst receive no more mercy, than thou hast had already.&#8221;<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400\">Squaring the circle has also been called quadrature, although that term applies more generally in mathematics to the process of constructing a square that is equal in area to that of any other geometrical figure. In Latin quadratura meant division of land into squares so that it could be accurately surveyed.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Of course, the impossibility of the task hasn\u2019t prevented a large number of cranks from attempting it; they not infrequently claim that they have succeeded and that \u03c0 \u00a0has some value such as \u221a10 (3.16228), or 3\u215b (3.125), or 19\/6 (3.16666\u2026), or 3\u00d77.1\/50 (3.142).<\/span><\/p>\n<figure id=\"attachment_42487\" aria-describedby=\"caption-attachment-42487\" style=\"width: 266px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-42487 \" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle.jpg\" alt=\"\" width=\"266\" height=\"315\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle.jpg 354w, https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle-253x300.jpg 253w\" sizes=\"auto, (max-width: 266px) 100vw, 266px\" \/><figcaption id=\"caption-attachment-42487\" class=\"wp-caption-text\">Augustus de Morgan (1806\u201371)<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400\">The British mathematician Augustus de Morgan discussed the circle squarers at length in his posthumously published book <\/span><i><span style=\"font-weight: 400\">A Budget of Paradoxes<\/span><\/i><span style=\"font-weight: 400\"> (1872), in which he identified various types of cranks, who were wont to attempt proven impossible tasks: \u201csquarers of the circle, trisectors of the angle, duplicators of the cube, constructors of perpetual motion, subverters of gravitation, stagnators of the earth, builders of the universe.\u201d \u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">De Morgan called them \u201cparadoxers\u201d, and in a <\/span><a href=\"https:\/\/www.jstor.org\/stable\/pdf\/41134504.pdf?refreqid=excelsior%3Ad25c257ccd746e9dcf9fdb7458fa3c95\"><span style=\"font-weight: 400\">paper<\/span><\/a><span style=\"font-weight: 400\"> in the <\/span><i><span style=\"font-weight: 400\">Journal of the Institute of Actuaries<\/span><\/i><span style=\"font-weight: 400\"> in January 1867, he likened their obsession to St Vitus\u2019 dance. \u201cI pronounce and ordain,\u201d he wrote \u201cby right accruing from the trouble I have taken in this subject, that he, St Vitus, who leads his votaries a never-ending and unmeaning dance, shall henceforth be held and taken to be the patron saint of the circle-squarer. His day is the 15<\/span><span style=\"font-weight: 400\">th<\/span><span style=\"font-weight: 400\"> of June, which is also that of St Modestus, with whom the said circle-squarer often has nothing to do. \u2026 The arch-priest of St Vitus will have it that the square inscribed in a semicircle is half of the semicircle, or the circumference 3\u2155 diameters.\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400\">Vitus was a Sicilian who died a martyr in 303 AD, during the persecution of Christians by the Roman co-Emperors Diocletian (in the East) and Maximian (in the West). His nurse Crescentia and her husband Modestus, his tutor, were similarly martyred, and in places the <\/span><a href=\"https:\/\/en.wikisource.org\/wiki\/Catholic_Encyclopedia_(1913)\/Sts._Vitus,_Modestus,_and_Crescentia\"><span style=\"font-weight: 400\">three<\/span><\/a><span style=\"font-weight: 400\"> have been celebrated jointly. At shrines that were later set up in his honour, devotees would dance so joyously that Vitus became the patron saint of dancers, actors, and people with epilepsy, whose convulsions were regarded as a form of dancing. St Vitus\u2019 dance was then applied to the specific form of disorder otherwise known as chorea (Greek \u03c7\u03bf\u03c1\u03b5\u03af\u03b1, dance) or Sydenham\u2019s chorea, to distinguish it from other forms, since it was first described by Thomas Sydenham in <\/span><i><span style=\"font-weight: 400\">Schedula Monitoria de Novis Febris Ingressu<\/span><\/i><span style=\"font-weight: 400\"> (1686): \u201cCuius rei experimentum a me factum in medium profero, nempe in quadam Convulsionis specie qu\u00e6 Chorea Sancti Viti vulgo appellatur\u201d (\u201cI experimentally demonstrate [the effects of venesection and purgation] in that type of seizure commonly called St Vitus dance\u201d).<\/span><\/p>\n<figure id=\"attachment_42489\" aria-describedby=\"caption-attachment-42489\" style=\"width: 181px\" class=\"wp-caption alignright\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-42489\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle2.jpg\" alt=\"\" width=\"181\" height=\"253\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle2.jpg 268w, https:\/\/blogs.bmj.com\/bmj\/files\/2018\/06\/aronson_circle2-214x300.jpg 214w\" sizes=\"auto, (max-width: 181px) 100vw, 181px\" \/><figcaption id=\"caption-attachment-42489\" class=\"wp-caption-text\">St Vitus, from the Nuremberg Chronicle, 1493 (source <a href=\"https:\/\/en.wikipedia.org\/wiki\/Vitus\">Wikipedia<\/a>)<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400\">The English term \u201cSt Vitus dance\u201d is first recorded in Robert Burton\u2019s <\/span><i><span style=\"font-weight: 400\">Anatomy of Melancholy<\/span><\/i><span style=\"font-weight: 400\">: \u201c<\/span><i><span style=\"font-weight: 400\">Chorus sancti Viti<\/span><\/i><span style=\"font-weight: 400\">, or Saint Vitus dance, the lascivious dance, Paracelsus calls it, because they that are taken with it, can doe nothing but dance till they be dead, or cured. It is so called, for that the parties so troubled, were wont to goe to Saint <\/span><i><span style=\"font-weight: 400\">Vitus<\/span><\/i><span style=\"font-weight: 400\"> for helpe, &amp; after they had danced there a while, they were certainly freed. \u2019Tis strange to heare how long they will dance, and in what manner, over stooles, formes, tables, even great bellyed women sometimes (and yet never hurt their childe) will dance so long, that they can stirre neither hand nor foot, but seeme to be quite dead.\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400\">We still suffer from fervently dancing circle squarers today, from those who think that ineffective remedies are effective to those who think that effective remedies are excessively harmful. Extremists and cranks are, of course, to be found at either end of the spectrum.<\/span><\/p>\n<p><em><strong>Jeffrey Aronson<\/strong>\u00a0is a clinical pharmacologist, working in the Centre for Evidence Based Medicine in Oxford&#8217;s Nuffield Department of Primary Care Health Sciences. He is also president emeritus of the British Pharmacological Society.<\/em><\/p>\n<p><strong>Competing interests:<\/strong>\u00a0None declared.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>As I discussed last week, pi (\u03c0) is a transcendental number, 3.1415926535&#8230;, whose decimal expansion never ends. It is therefore impossible to do what ancient mathematicians were keen to do, [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/\">More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":38359,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5762],"tags":[],"class_list":["post-42480","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jeff-aronsons-words"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ\" \/>\n<meta property=\"og:description\" content=\"As I discussed last week, pi (\u03c0) is a transcendental number, 3.1415926535&#8230;, whose decimal expansion never ends. It is therefore impossible to do what ancient mathematicians were keen to do, [...]More...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/\" \/>\n<meta property=\"og:site_name\" content=\"The BMJ\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/bmjdotcom\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-06-29T10:22:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-07-12T08:33:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"540\" \/>\n\t<meta property=\"og:image:height\" content=\"350\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"BMJ\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@bmj_latest\" \/>\n<meta name=\"twitter:site\" content=\"@bmj_latest\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"BMJ\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/\"},\"author\":{\"name\":\"BMJ\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#\\\/schema\\\/person\\\/ba3da426ed20e8f1d933ca367d8216fe\"},\"headline\":\"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus\",\"datePublished\":\"2018-06-29T10:22:54+00:00\",\"dateModified\":\"2018-07-12T08:33:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/\"},\"wordCount\":826,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2017\\\/02\\\/Jeffrey-Aronson.jpg\",\"articleSection\":[\"Jeff Aronson's Words\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/\",\"name\":\"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2017\\\/02\\\/Jeffrey-Aronson.jpg\",\"datePublished\":\"2018-06-29T10:22:54+00:00\",\"dateModified\":\"2018-07-12T08:33:24+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#primaryimage\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2017\\\/02\\\/Jeffrey-Aronson.jpg\",\"contentUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2017\\\/02\\\/Jeffrey-Aronson.jpg\",\"width\":540,\"height\":350},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/2018\\\/06\\\/29\\\/jeffrey-aronson-use-word-circle-squarers-st-vitus\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#website\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/\",\"name\":\"The BMJ\",\"description\":\"Helping doctors make better decisions.\",\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#organization\",\"name\":\"The BMJ\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2018\\\/05\\\/The-BMJ-logo.jpg\",\"contentUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/files\\\/2018\\\/05\\\/The-BMJ-logo.jpg\",\"width\":852,\"height\":568,\"caption\":\"The BMJ\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/bmjdotcom\\\/\",\"https:\\\/\\\/x.com\\\/bmj_latest\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/#\\\/schema\\\/person\\\/ba3da426ed20e8f1d933ca367d8216fe\",\"name\":\"BMJ\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g\",\"caption\":\"BMJ\"},\"sameAs\":[\"https:\\\/\\\/blogs.bmj.com\\\/\"],\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/bmj\\\/author\\\/admin\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/","og_locale":"en_US","og_type":"article","og_title":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ","og_description":"As I discussed last week, pi (\u03c0) is a transcendental number, 3.1415926535&#8230;, whose decimal expansion never ends. It is therefore impossible to do what ancient mathematicians were keen to do, [...]More...","og_url":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/","og_site_name":"The BMJ","article_publisher":"https:\/\/www.facebook.com\/bmjdotcom\/","article_published_time":"2018-06-29T10:22:54+00:00","article_modified_time":"2018-07-12T08:33:24+00:00","og_image":[{"width":540,"height":350,"url":"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg","type":"image\/jpeg"}],"author":"BMJ","twitter_card":"summary_large_image","twitter_creator":"@bmj_latest","twitter_site":"@bmj_latest","twitter_misc":{"Written by":"BMJ","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#article","isPartOf":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/"},"author":{"name":"BMJ","@id":"https:\/\/blogs.bmj.com\/bmj\/#\/schema\/person\/ba3da426ed20e8f1d933ca367d8216fe"},"headline":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus","datePublished":"2018-06-29T10:22:54+00:00","dateModified":"2018-07-12T08:33:24+00:00","mainEntityOfPage":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/"},"wordCount":826,"commentCount":0,"publisher":{"@id":"https:\/\/blogs.bmj.com\/bmj\/#organization"},"image":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg","articleSection":["Jeff Aronson's Words"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/","url":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/","name":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus - The BMJ","isPartOf":{"@id":"https:\/\/blogs.bmj.com\/bmj\/#website"},"primaryImageOfPage":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#primaryimage"},"image":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg","datePublished":"2018-06-29T10:22:54+00:00","dateModified":"2018-07-12T08:33:24+00:00","breadcrumb":{"@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#primaryimage","url":"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg","contentUrl":"https:\/\/blogs.bmj.com\/bmj\/files\/2017\/02\/Jeffrey-Aronson.jpg","width":540,"height":350},{"@type":"BreadcrumbList","@id":"https:\/\/blogs.bmj.com\/bmj\/2018\/06\/29\/jeffrey-aronson-use-word-circle-squarers-st-vitus\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/blogs.bmj.com\/bmj\/"},{"@type":"ListItem","position":2,"name":"Jeffrey Aronson: When I use a word . . . Circle squarers and St Vitus"}]},{"@type":"WebSite","@id":"https:\/\/blogs.bmj.com\/bmj\/#website","url":"https:\/\/blogs.bmj.com\/bmj\/","name":"The BMJ","description":"Helping doctors make better decisions.","publisher":{"@id":"https:\/\/blogs.bmj.com\/bmj\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/blogs.bmj.com\/bmj\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/blogs.bmj.com\/bmj\/#organization","name":"The BMJ","url":"https:\/\/blogs.bmj.com\/bmj\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/blogs.bmj.com\/bmj\/#\/schema\/logo\/image\/","url":"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/05\/The-BMJ-logo.jpg","contentUrl":"https:\/\/blogs.bmj.com\/bmj\/files\/2018\/05\/The-BMJ-logo.jpg","width":852,"height":568,"caption":"The BMJ"},"image":{"@id":"https:\/\/blogs.bmj.com\/bmj\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/bmjdotcom\/","https:\/\/x.com\/bmj_latest"]},{"@type":"Person","@id":"https:\/\/blogs.bmj.com\/bmj\/#\/schema\/person\/ba3da426ed20e8f1d933ca367d8216fe","name":"BMJ","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b4d8f39281bcae118348a1c027347b8e53b82d42520e774a8b50dd9a6ac6c01d?s=96&d=mm&r=g","caption":"BMJ"},"sameAs":["https:\/\/blogs.bmj.com\/"],"url":"https:\/\/blogs.bmj.com\/bmj\/author\/admin\/"}]}},"_links":{"self":[{"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/posts\/42480","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/comments?post=42480"}],"version-history":[{"count":0,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/posts\/42480\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/media\/38359"}],"wp:attachment":[{"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/media?parent=42480"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/categories?post=42480"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.bmj.com\/bmj\/wp-json\/wp\/v2\/tags?post=42480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}