
{"id":67113,"date":"2017-10-11T03:01:54","date_gmt":"2017-10-11T03:01:54","guid":{"rendered":"https:\/\/ujkafe.website\/?p=67113"},"modified":"2017-10-10T17:45:19","modified_gmt":"2017-10-10T17:45:19","slug":"farkas-jozsef-gyorgy-bolyai-farkas-gottingen","status":"publish","type":"post","link":"https:\/\/ujkafe.website\/?p=67113","title":{"rendered":"Farkas J\u00f3zsef Gy\u00f6rgy: Bolyai Farkas \u2013 G\u00f6ttingen"},"content":{"rendered":"<p>A k\u00e9t Bolyai k\u00f6z\u00fcl az apa, Bolyai Farkas (1775\u20131856) t\u00f6bb mint f\u00e9l \u00e9vsz\u00e1zadig dolgozott a marosv\u00e1s\u00e1rhelyi reform\u00e1tus koll\u00e9gium matematika-, fizika- \u00e9s k\u00e9miaprofesszorak\u00e9nt. Ez id\u0151 alatt rengeteget tett a korszer\u0171 term\u00e9szettudom\u00e1nyos ismeretek elterjeszt\u00e9s\u00e9\u00e9rt, mik\u00f6zben m\u00e1s tudom\u00e1nyter\u00fcletekkel, illetve m\u0171v\u00e9szetekkel is foglalkozott. <!--more--><br \/>\nEl\u0151bb, 1781-t\u0151l a nagyenyedi koll\u00e9giumban&nbsp;di\u00e1koskodott, ahol kit\u0171nt tehets\u00e9g\u00e9vel: r\u00f6vid id\u0151 alatt megtanult latinul, g\u00f6r\u00f6g\u00fcl, h\u00e9ber\u00fcl, rom\u00e1nul, k\u00e9s\u0151bb n\u00e9met\u00fcl, angolul, franci\u00e1ul \u00e9s olaszul.<br \/>\nKolozsv\u00e1ri \u00e9vei ut\u00e1n k\u00fclf\u00f6ldi tanulm\u00e1ny\u00fatra indult, 1796 okt\u00f3ber\u00e9ben beiratkozott a&nbsp;g\u00f6ttingeni egyetemre, ahol matematik\u00e1t tanult.<\/p>\n<p><a href=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Bolyaifarkas.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67114\" src=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Bolyaifarkas.jpg\" alt=\"\" width=\"318\" height=\"417\" srcset=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Bolyaifarkas.jpg 366w, https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Bolyaifarkas-229x300.jpg 229w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/a><\/p>\n<p>Bar\u00e1ti kapcsolatba ker\u00fclt a vil\u00e1gh\u00edr\u0171 matematikuss\u00e1 v\u00e1lt Carl Friedrich Gauss-szal, aki viszont k\u00e9s\u0151bb lekezel\u0151en nyilatkozott az ifjabb Bolyai, J\u00e1nos val\u00f3ban korszakos eredm\u00e9nyeir\u0151l.<br \/>\nBolyai Farkas t\u00e1bl\u00e1ja \u2013 n\u00e9met keresztn\u00e9vvel \u2013 r\u00e9gi lak\u00f3hely\u00e9nek fal\u00e1n \u0151rzi &#8222;g\u00f6ttingai&#8221; tart\u00f3zkod\u00e1s\u00e1nak eml\u00e9k\u00e9t.<\/p>\n<p><a href=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Abolyaifarkas.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-67115\" src=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Abolyaifarkas.jpg\" alt=\"\" width=\"411\" height=\"307\" srcset=\"https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Abolyaifarkas.jpg 649w, https:\/\/ujkafe.website\/wp-content\/uploads\/2017\/10\/36Abolyaifarkas-300x224.jpg 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/a><br \/>\nVisszat\u00e9rve haz\u00e1j\u00e1ba el\u0151bb Kolozsv\u00e1ron m\u0171k\u00f6d\u00f6tt, majd 1804-ben a marosv\u00e1s\u00e1rhelyi koll\u00e9gium matematikaprofesszor\u00e1nak h\u00edvt\u00e1k meg. J\u00e1nos fia nevel\u00e9s\u00e9re sok gondot ford\u00edtott, matematik\u00e1ra saj\u00e1t maga tan\u00edtotta. M\u00e9g g\u00f6ttingeni \u00e9vei alatt kezdett el foglalkozni Euklid\u00e9sz \u00f6t\u00f6dik posztul\u00e1tum\u00e1val, amelyet a t\u00f6bbi axi\u00f3m\u00e1b\u00f3l levezethet\u0151nek tartott.<br \/>\nF\u0151m\u0171ve, a Tentamen k\u00e9t k\u00f6tete 1832\u201333-ban jelent meg. Az 1851-ben napvil\u00e1got l\u00e1tott Kurzer Grundriss (R\u00f6vid v\u00e1zlat) c\u00edm\u0171 n\u00e9met nyelv\u0171 m\u0171v\u00e9ben \u00f6sszefoglalta f\u0151bb matematikai gondolatait, \u00e9s p\u00e1rhuzamot vont fia \u00e9s az orosz Lobacsevszkij munk\u00e1ss\u00e1ga k\u00f6z\u00f6tt. Emellett \u00edrt verseket \u00e9s dr\u00e1m\u00e1kat, ford\u00edtott angolb\u00f3l \u00e9s n\u00e9metb\u0151l is. Saj\u00e1tosan fanyar humor\u00fa ember h\u00edr\u00e9ben \u00e1llt: v\u00e9grendelet\u00e9ben mindenkinek hagyom\u00e1nyozott k\u00e9t \u00f3r\u00e1t, amit otthon hasznosan elt\u00f6lthet, ahelyett, hogy \u0151t k\u00eds\u00e9rn\u00e9 ki a temet\u0151be.<\/p>\n<p><em>\/K\u00f6sz\u00f6n\u00f6m Rab Ir\u00e9n g\u00f6ttingeni magyartan\u00e1rn\u0151 seg\u00edts\u00e9g\u00e9t.\/<\/em><\/p>\n<p><a href=\"http:\/\/ww2.infovilag.hu\/cikkek\/kulfold\/magyar-emlekek-a-nagyvilagban\"><strong>Forr\u00e1s: Magyar eml\u00e9kek a nagyvil\u00e1gban<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A k\u00e9t Bolyai k\u00f6z\u00fcl az apa, Bolyai Farkas (1775\u20131856) t\u00f6bb mint f\u00e9l \u00e9vsz\u00e1zadig dolgozott a marosv\u00e1s\u00e1rhelyi reform\u00e1tus koll\u00e9gium matematika-, fizika- \u00e9s k\u00e9miaprofesszorak\u00e9nt. Ez id\u0151 alatt rengeteget tett a korszer\u0171 term\u00e9szettudom\u00e1nyos ismeretek elterjeszt\u00e9s\u00e9\u00e9rt, mik\u00f6zben m\u00e1s tudom\u00e1nyter\u00fcletekkel, illetve m\u0171v\u00e9szetekkel is foglalkozott.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"ngg_post_thumbnail":0,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-67113","post","type-post","status-publish","format-standard","hentry","category-jegyzet"],"_links":{"self":[{"href":"https:\/\/ujkafe.website\/index.php?rest_route=\/wp\/v2\/posts\/67113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ujkafe.website\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ujkafe.website\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ujkafe.website\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ujkafe.website\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=67113"}],"version-history":[{"count":0,"href":"https:\/\/ujkafe.website\/index.php?rest_route=\/wp\/v2\/posts\/67113\/revisions"}],"wp:attachment":[{"href":"https:\/\/ujkafe.website\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=67113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ujkafe.website\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=67113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ujkafe.website\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=67113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}