IPythagoras

Ngokuqinisekileyo ngamanye amaxesha ebomini bakho, nokuba kusezifundweni, esikolweni okanye kumabonwakude, uvile ngako IPythagoras kunye nomxholo wakhe odumileyo. Sisithandi sobulumko esingumGrike nesazi semathematika esadlala indima ebalulekileyo kuphuhliso lwemathematics kwiGrisi yamandulo. Ukufaneleka kukaPythagoras kwimbali kwazisa namhlanje. Okona kwaziwayo ngaye yithiyori eyaziwayo kaPythagorean efundiswa abafundi kwisikolo esiphakamileyo kwimathematics.

Ukuze ungashiyi le ngcali yezibalo inento yokwenza kuphela, kweli nqaku unokufumana yonke i-biografi yakhe, igalelo kwisayensi kunye nokufumana okubalulekileyo.

I-Biography

Indoda eqhelekileyo unyana womrhwebi. Inxalenye yokuqala yobomi bakhe yaphuhliswa kwisiqithi saseSamos. Kungenzeka ukuba wayishiya ngaphambi kokuba abulawa nguzwilakhe uPolycrates ngo-522 BC. E-Egypt ulwazi lwe-esoteric lwalonyuka. Ke ngoko, kunokwenzeka ukuba UPythagoras wayelapho efunda iimfihlakalo ezichaphazela ubomi obufana nejometri kunye neenkwenkwezi.

Kuyatshiwo apha ukuba izinto zinokwenzeka, kuba ubomi bonke bale ngcali yemathematics abaziwa ngendlela ethembekileyo. Kuya kufuneka ucinge ukuba oku bekuyiminyaka emininzi eyadlulayo kwaye nembali iyenzile into kwezi ziganeko. Nje ukuba kucaciswe oku, siyaqhubeka nebhayiloji yakhe.

Eminye imithombo ithi uPythagoras waya eBhabheli noCambyses II ukuya kufunda izibalo kunye nomculo wolwazi lwababingeleli. Kukho intetho yokuhamba kwakhona ukuya eDelos, eKrete naseGreca ngaphambi kokwenza nokuseka isikolo sakhe esidumileyo eCrotona. Yenye yeekholoni ezasekwa ngamaGrike kwiinkulungwane ezimbini ezidlulileyo ukuze afumane amandla ngakumbi kunye nokuthandwa. Kuyo waseka isikolo sakhe apho wafunda ngakumbi ngejometri kunye nemathematics.

Uluntu lonke lwasePythagoras lwalujikelezwe yimfihlelo epheleleyo. Abafundi bakhe kwafuneka balinde iminyaka eliqela ngaphambi kokuba baziswe kutitshala wabo. Ingathi luhlobo lwesiko lovavanyo okanye isitshixo sokufikelela kulwazi. Kwenzeka into efanayo xa befumana iimfundiso zakhe. Kwakufuneka bagcine imfihlo engqongqo phambi kwayo yonke into abayifundisiweyo. Abafazi banokuba yinxalenye yobu buzalwana. Enye yezona zidumileyo ezazisesikolweni yayinguTeano. Wayengumfazi kaPythagoras kunye nomama wentombi kunye nabanye oonyana ababini besithandi sobulumko.

Ifilosofi yePythagorean

Le zezibalo kunye sobulumko akazange ashiye nawuphi na umsebenzi obhaliweyo, ngoko ke kunzima kakhulu ukwazi ngaye. Akunakwenzeka ukwahlula ezinye izimvo ezivela kubafundi kunye nezinye ezizezakhe ngokuthe ngqo. Ngaphandle kokuba kwenziwe umsebenzi ngakuye, asinokwazi ukuba ezi zinto zazifunyenwe zazizezakhe ngokwenene. I-Pythagoreanism ibonakala ngathi iyinkolo eyimfihlakalo kunesikolo sefilosofi. Ngale ndlela, babephila ubomi obukhuthazwe yimeko efanelekileyo esekwe kuluntu lweempahla. Eyona njongo iphambili yale ndlela yokuphila yayisisiko lokuhlanjululwa kwamalungu alo. Oku kuhlanjululwa kuyaziwa ngokuba yi-catharsis.

Nangona kunjalo, olu hlobo lokuhlanjululwa lwaluqhutywa ngokufunda okuqhubekayo apho imathematics kunye nezixhobo zomculo zidlale indima ebalulekileyo. Ukuze uqonde imathematics kwaye wandise ulwazi lwabafundi, indlela eya kulwazi yayiyifilosofi.

Esinye seziqubulo ezazisetyenziswa kakhulu nguPythagoras njengomyalezo okhuthazayo kubo bonke abafundi bakhe olo "luthanda ubulumko". Kubo, izithandi zobulumko zazithanda ulwazi kwaye zithanda ukufunda ngakumbi nangakumbi malunga nezinto. IMathematics ibancede ukuba baqonde iimfihlakalo ezininzi ezazizezokwenyani. UPythagoras waziwa ngokuguqula imathematika ibe yimfundiso yenkululeko. Ukulungiselela oku, ukwenziwa okungafakwanga kweziphumo kuye kwafuneka kwenziwe. Nokuba zithini iimeko zezinto ezazisaziwa kuzo ezinye zeemathematika, kuye kwafuneka ukuba zenziwe ngendlela yokuba ihlale isaziwa kwaye idluliselwe kwezinye iimeko.

Ithiyori kaPythagoras

Kulapho ingena khona imeko edumileyo yethiyori kaPythagorean. Le theorem iseka ubudlelwane phakathi kwamacala kanxantathu olungileyo. Ithiyori ithi Isikwere se-hypotenuse (Eli lelona cala lide lonxantathu) lilingana nesibalo sezikwere zemilenze (La ngamacala amafutshane enza i-engile elungileyo). Le theorem ibonelele ngezixhobo ezininzi ezibonakalayo kwimpucuko yakudala neyangaphambili yamaGrike afana ne-Egypt ne-Bhabhiloni. Nangona kunjalo, nguPythagoras onikwa ubungqina bokuqala obusemthethweni bethiyori.

Ndiyabulela koku, isikolo sinentuthuko eninzi. Ngokubanzi kwale theorem yezibalo inyanzelise ukucocwa kunye nokugqibelela komphefumlo ukusukela oko kwandise olo lwazi emntwini. Ukongeza, yanceda ukwazi umhlaba njengemvisiswano. Indalo yathathelwa ingqalelo njengendalo. I-cosmos ayikho enye into ngaphandle kokusekwa okucwangcisiweyo apho izidalwa zasezulwini zigcina indawo ezihambelana ngayo ngokupheleleyo. Umgama phakathi komzimba ngamnye wasezulwini unamanani afanayo kwaye uhambelana nexesha le-octave yomculo. Kule ngcali yezibalo, amabakala ezulu ajikeleza kwaye avelise into eyayibizwa ngokuba ngumculo wamacandelo. Lo mculo awunakuviwa yindlebe yomntu njengoko uyinto esisigxina nengapheliyo.

Impembelelo

Impembelelo ebenayo ibaluleke kakhulu. Ngaphezu kwenkulungwane emva kokufa kwakhe, UPlato wayenokuba nolwazi ngefilosofi kaPythagoras ngenxa yabafundi. Kwimfundiso kaPlato impembelelo kaPythagoras iqinisekisiwe.

Kamva, ngenkulungwane yeshumi elinesixhenxe, isazi ngeenkwenkwezi UJohannes kepler Wayesakholelwa kumculo wamacandelo xa wayekwazi ukufumanisa iirliptical orbits zeeplanethi. Iingcamango zakhe zokuvisisana kunye nokulingana kwamacandelo ezulu kuya kusebenza njengesandulela sokuguquka kwezesayensi okubangele UGalileo Galilei.

Njengoko ubona, uPythagoras uphawule ngaphambi nasemva kwimbali yemathematics, ifilosofi kunye neenkwenkwezi.