{"id":49225,"date":"2021-08-21T07:22:46","date_gmt":"2021-08-21T07:22:46","guid":{"rendered":"https:\/\/www.shqiperia.com\/blog\/?p=49225"},"modified":"2021-08-21T07:22:46","modified_gmt":"2021-08-21T07:22:46","slug":"a-duhet-rishkruar-historia-e-matematikes-jo-pitagora-por-babilonasit-e-zbuluan-trigonometrine","status":"publish","type":"post","link":"https:\/\/www.shqiperia.com\/blog\/a-duhet-rishkruar-historia-e-matematikes-jo-pitagora-por-babilonasit-e-zbuluan-trigonometrine\/","title":{"rendered":"A duhet rishkruar historia e matematik\u00ebs? – Jo Pitagora, por babilonasit e zbuluan trigonometrin\u00eb."},"content":{"rendered":"

\"\"<\/p>\n

A duhet rishkruar historia e matematik\u00ebs? – Jo Pitagora, por babilonasit e zbuluan trigonometrin\u00eb.<\/p>\n

Gusht 2021.<\/p>\n

\u00c7do nx\u00ebn\u00ebs m\u00ebson formul\u00ebn e Pitagor\u00ebs a\u00b2 + b\u00b2 = c\u00b2. Por me sa duket babilonasit e kan\u00eb p\u00ebrdorur trigonometrin\u00eb p\u00ebr t\u00eb matur tok\u00ebn para 3700 vjet\u00ebsh, 1000 vjet para Pitagor\u00ebs. A duhet rishkruar historia e matematik\u00ebs?<\/p>\n

Nj\u00eb pllak\u00eb misterioze balte mund t\u00eb revolucionarizoj\u00eb historin\u00eb e matematik\u00ebs. Ajo \u00ebsht\u00eb gjetur gjat\u00eb g\u00ebrmimeve arkeologjike q\u00eb n\u00eb vitin 1894, n\u00eb af\u00ebrsi t\u00eb Bagdadit t\u00eb sot\u00ebm, por qe harruar n\u00eb nj\u00eb cep larg\u00ebt t\u00eb Muzeut Arkeologjik n\u00eb Stamboll.<\/p>\n

N\u00eb vitin 2018 matematikani australian Daniel Mansfield i Universitetit New South Wales (UNSW) pa nj\u00eb fotografi t\u00eb k\u00ebtij artifakti dhe u entuziazmua prej katror\u00ebve t\u00eb p\u00ebrsosur. Prandaj ai shkoi n\u00eb Turqi p\u00ebr t\u00eb ekzaminuar pllak\u00ebn misterioze.<\/p>\n

\"\"<\/p>\n

Tani ai arriti m\u00eb n\u00eb fund ta zgjidh\u00eb enigm\u00ebn: pllaka 3700 vje\u00e7are q\u00eb i p\u00ebrket periudh\u00ebs s\u00eb vjet\u00ebr babilonase nuk paraqet vet\u00ebm figur\u00ebn m\u00eb t\u00eb vjet\u00ebr t\u00eb njohur t\u00eb gjeometris\u00eb s\u00eb aplikuar, por tregon edhe m\u00ebnyr\u00ebn e lasht\u00eb t\u00eb babilonasve p\u00ebr konceptimin e trek\u00ebnd\u00ebshave.<\/p>\n

A ka kopjuar Pitagora?<\/p>\n

Deri tani mendohej se trigonometrin\u00eb e kishin zhvilluar grek\u00ebt e lasht\u00eb ose filozofi dhe matematikani Pitagora. Por sipas analizave t\u00eb reja trigonometria \u00ebsht\u00eb p\u00ebrdorur nj\u00eb mij\u00eb vjet para lindjes s\u00eb Pitagor\u00ebs. Prandaj Daniel Mansfield shprehet n\u00eb studimin e tij \u201cPlimpton 322: A Study of Rectangles\u201d se ndoshta historia e matematik\u00ebs duhet rishkruar.<\/p>\n

Plimpton 322 \u00ebsht\u00eb nj\u00eb pllak\u00eb tjet\u00ebr balte me madh\u00ebsin\u00eb e nj\u00eb kartoline e periudh\u00ebs babilonase, n\u00eb t\u00eb cil\u00ebn \u00ebsht\u00eb gdhendur me shkrim n\u00eb form\u00eb pyke tabela trigonometrike m\u00eb e vjet\u00ebr q\u00eb njohim deri tani.<\/p>\n

A duhet rishkruar historia e matematik\u00ebs? Jo Pitagora, por babilonasit e<\/p>\n

Sistem num\u00ebrimi bazuar tek 60-ta<\/p>\n

Sipas Mansfield llogaritjet e babilonasve ishin shum\u00eb m\u00eb t\u00eb sakta se ato t\u00eb grek\u00ebve sepse, ndryshe nga ato t\u00eb grek\u00ebve, ato nuk bazoheshin n\u00eb k\u00ebnde dhe funksione rrethore, por n\u00eb raporte numerike. Ngjash\u00ebm me nj\u00ebsin\u00eb ton\u00eb t\u00eb koh\u00ebs, babilonasit p\u00ebrdornin nj\u00eb sistem num\u00ebrimi t\u00eb bazuar tek 60-ta, q\u00eb do t\u00eb thot\u00eb se pjes\u00ebtimet e tyre jepnin shum\u00eb m\u00eb shpesh numra t\u00eb plot\u00eb, k\u00ebshtu q\u00eb kishte m\u00eb pak gabime me rrumbullakimin.<\/p>\n

\"\"<\/p>\n

Ndarje pronash bazuar n\u00eb p\u00ebrllogaritje t\u00eb sakta gjeometrike<\/p>\n

N\u00eb rastin e Plimson 322 nuk ishte e qart\u00eb se p\u00ebrse p\u00ebrdorej seria e numrave, p\u00ebr nd\u00ebrtimin e nd\u00ebrtesave apo p\u00ebr matjen e tokave. P\u00ebrgjigjen p\u00ebr k\u00ebt\u00eb e jep tani pllaka Si.427, e cila p\u00ebrmban detaje ligjore dhe gjeometrike p\u00ebr nj\u00eb cop\u00eb tok\u00eb q\u00eb ishte ndar\u00eb pasi nj\u00eb pjes\u00eb e saj ishte shitur. Kemi t\u00eb b\u00ebjm\u00eb pra pak a shum\u00eb me nj\u00eb dokument kadastral, n\u00eb t\u00eb cilin jan\u00eb regjistruar kufijt\u00eb e sakt\u00eb t\u00eb pron\u00ebsis\u00eb s\u00eb tok\u00ebs.<\/p>\n","protected":false},"excerpt":{"rendered":"

A duhet rishkruar historia e matematik\u00ebs? – Jo Pitagora, por babilonasit e zbuluan trigonometrin\u00eb. Gusht 2021. \u00c7do nx\u00ebn\u00ebs m\u00ebson formul\u00ebn e Pitagor\u00ebs a\u00b2 + b\u00b2 = c\u00b2. Por me sa duket babilonasit e kan\u00eb p\u00ebrdorur trigonometrin\u00eb p\u00ebr t\u00eb matur tok\u00ebn para 3700 vjet\u00ebsh, 1000 vjet para Pitagor\u00ebs. A duhet rishkruar historia e matematik\u00ebs? Nj\u00eb pllak\u00eb […]<\/p>\n","protected":false},"author":9,"featured_media":49226,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[85,10,86],"tags":[],"class_list":["post-49225","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-histori","category-kultura","category-trashegimi-kulturore"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2021\/08\/640-0-61124e581bb1a.jpg?fit=640%2C360&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p5Z6wp-cNX","jetpack-related-posts":[{"id":103045,"url":"https:\/\/www.shqiperia.com\/blog\/pas-gjithe-kesaj-proteste-duhet-te-shkojme-ne-zgjedhje-lubonja-kerkesat-jane-te-panegociueshme\/","url_meta":{"origin":49225,"position":0},"title":"\u201cPas gjith\u00eb k\u00ebsaj proteste duhet t\u00eb shkojm\u00eb n\u00eb zgjedhje\u201d\/ Lubonja: – K\u00ebrkesat jan\u00eb t\u00eb panegociueshme!","author":"Kurt Farka","date":"July 21, 2026","format":false,"excerpt":"21 Korrik 2026 Analisti Fatos Lubonja u shpreh sot n\u00eb nj\u00eb lidhje direkte n\u00eb nj\u00eb studio televizive se pas protest\u00ebs dhe rezistenc\u00ebs qytetare prej 52 dit\u00ebsh, duhet t\u00eb shkohej n\u00eb zgjedhje t\u00eb reja dhe largim t\u00eb qeveris\u00eb s\u00eb Edi Ram\u00ebs. Ai u shpreh se k\u00ebrkesat e protestuesve jan\u00eb t\u00eb panegociueshme.\u2026","rel":"","context":"In "Blogu i Udh\u00ebtarit"","block_context":{"text":"Blogu i Udh\u00ebtarit","link":"https:\/\/www.shqiperia.com\/blog\/category\/blogu-i-udhetarit\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/fatos-lubonja-1.jpg?fit=1200%2C675&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/fatos-lubonja-1.jpg?fit=1200%2C675&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/fatos-lubonja-1.jpg?fit=1200%2C675&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/fatos-lubonja-1.jpg?fit=1200%2C675&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/07\/fatos-lubonja-1.jpg?fit=1200%2C675&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":105516,"url":"https:\/\/www.shqiperia.com\/blog\/jo-vetem-duke-numeruar-turistet-turizmi-nuk-mund-te-trajtohet-si-nje-industri-te-fortesh\/","url_meta":{"origin":49225,"position":1},"title":"\u201cJo vet\u00ebm duke num\u00ebruar turist\u00ebt\u201d. Turizmi nuk mund t\u00eb trajtohet si nj\u00eb \u201cindustri t\u00eb fort\u00ebsh\u201d","author":"Kurt Farka","date":"August 30, 2026","format":false,"excerpt":"30 Gusht 2026 Shqip\u00ebria po p\u00ebrjeton prej disa vitesh nj\u00eb rritje shum\u00eb t\u00eb fort\u00eb t\u00eb turizmit. Nga rreth 6.4 milion\u00eb hyrje t\u00eb shtetasve t\u00eb huaj n\u00eb vitin 2019, sot vendi pret mbi 12 milion\u00eb. Ky ndryshim nuk ka ardhur rast\u00ebsisht. Shqip\u00ebria ka p\u00ebrmir\u00ebsuar ndjesh\u00ebm imazhin e saj, \u00ebsht\u00eb promovuar m\u00eb\u2026","rel":"","context":"In "Blogu i Udh\u00ebtarit"","block_context":{"text":"Blogu i Udh\u00ebtarit","link":"https:\/\/www.shqiperia.com\/blog\/category\/blogu-i-udhetarit\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.shqiperia.com\/blog\/wp-content\/uploads\/2026\/08\/OIP-2.webp?fit=474%2C316&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":106164,"url":"https:\/\/www.shqiperia.com\/blog\/marta-kos-ne-duhet-qe-te-kundersulmojme-kunder-atyre-qe-pretendojne-se-qyteterimi-evropian-eshte-ne-renie-se-ekonomia-jone-eshte-ne-renie-se-nuk-kemi-demokraci-te-vertete\/","url_meta":{"origin":49225,"position":2},"title":"Marta Kos: – Ne duhet q\u00eb t\u00eb kund\u00ebrsulmojm\u00eb kund\u00ebr atyre q\u00eb pretendojn\u00eb se qytet\u00ebrimi evropian \u00ebsht\u00eb n\u00eb r\u00ebnie, se ekonomia jon\u00eb \u00ebsht\u00eb n\u00eb r\u00ebnie, se nuk kemi demokraci t\u00eb v\u00ebrtet\u00eb.","author":"Kurt Farka","date":"September 6, 2026","format":false,"excerpt":"6 Shtator 2026 ...disa vende do t\u00eb shkojn\u00eb n\u00eb zgjedhje vitin e ardhsh\u00ebm, ku populist\u00ebt e djatht\u00eb potencialisht mund t\u00eb fitojn\u00eb zgjedhjet. 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