Pythagoras neUzivi hweNhamba
Pythagoras aive muzivi wekare wechiGiriki uye nyanzvi yemasvomhu, aiwanzoonekwa sebaba vepfungwa dzenhamba. Akazvarwa kunenge muna 570 BC pachitsuwa cheIonian cheSamos, Greece, uye akafa kunenge muna 495 BC. Pythagoras anozivikanwa nekuda kwezvikonzero zvakawanda zvepfungwa dzake nebasa rake, asi chimwe chezvinhu zvinonyanya kukosha ndechekupa kwake masvomhu uye, kunyanya, dzidziso yenhamba. Chinyorwa chino chichaongorora zvakadzama Pythagoras nepfungwa dzenhamba, kuti nei uye sei nhamba dzakaita basa rakakosha mumaonero aPythagoras, uye nhaka yake yehuzivi nemasvomhu, iyo ichiri kukosha nanhasi.
Upenyu uye Magariro aPythagoras
Pythagoras akaberekerwa kuSamos, asi akafamba-famba zvikuru kunzvimbo dzakadai seIjipita neBhabhironi. Pakufamba kwake, akadzidza zvidzidzo zvakasiyana-siyana, zvinosanganisira masvomhu, nyeredzi, uye uzivi. Pakupedzisira, Pythagoras akagara muCroton (ikozvino kumaodzanyemba kweItaly), kwaakatanga nzanga yechitendero neyeuzivi inozivikanwa sePythagoras Sect.
Nharaunda iyi haisi chikoro chete, asiwo sangano rine chimiro nemitemo chaiyo. Nhengo dzinotevedzera mitemo yekudya nemararamiro uye dzinotenda zvakadzama mukusafa kwemweya nekuzvarwa patsva. Vakazvipirawo kuongorora hukama hwezvinhu zvisinganzwisisike nemasvomhu mukati mezvinhu zvose.
Uzivi hwePythagoras uye Pfungwa yeNhamba
Chimwe chezvipo zvikuru zvaPythagoras chaive pfungwa yekuti nhamba ndiyo hwaro hwezvinhu zvese uye kuti muchadenga munotongwa nenheyo dzemasvomhu. Pythagoras nevateveri vake vaitenda kuti zvese zvinogona kutsanangurwa kuburikidza nenhamba uye hukama hwenhamba. Maonero aya ndiwo ari pakati pe "pfungwa dzenhamba" dzinonzi Pythagoras.
Nheyo Huru dzeUzivi hweNhamba
1. Nhamba seChinhu Chinokosha paZvese:
VaPythagorean vakadzidzisa kuti nhamba ndidzo dzinokosha zvikuru muzvinhu zvose. Semuenzaniso, vakaona kuti hukama hwemimhanzi hunogona kutsanangurwa kuburikidza nechiyero chenhamba dzese. Mukudzidza kwake nezvetambo dzinodedera, Pythagoras akawana kuti zvikamu zveharmonic zvinoonekwa muchiyero chiri nyore—senge 1:2 (octave), 2:3 (quint), uye 3:4 (quart). Izvi zvakaratidza kuti nhamba hadzisi chete zvishandiso zvemasvomhu, asiwo hwaro hwekuwirirana nerunako mune zvakasikwa.
2. Kuvimba nekusingaperi uye nhamba:
Pythagoras akaongororawo pfungwa yekusaguma kana tichienzanisa nenhamba. Nhamba dzine pfungwa (dzinogona kuratidzwa sezvikamu zvenhamba mbiri dzakazara) dzinosanganisira nhamba dzakawanda, mukufunga kwaPythagoras, dzine hukama. Zvisinei, vakaonawo kuti kune nhamba dzisingagone kuratidzwa nezvikamu, zvinozivikanwa senhamba dzisina pfungwa. Kuwanikwa uku kwakaderedza kutenda kwavo mukurongeka kwenhamba uye kurongeka kwepasi rose, zvichiratidza kuoma kwakadzika kwepasi rose.
Dzidziso yePythagorean
Theorem yePythagorean, imwe yemipiro yakakurumbira yemasvomhu yaPythagoras, inoti mutriangle yekurudyi, sikweya yehurefu hwehypotenuse yakaenzana nehuwandu hwesikweya dzehurefu hwemamwe makumbo maviri. Izvi zvinogona kuumbwa seizvi:
a² + b² = c²,
apo 'c' iri kureba kwe hypotenuse uye 'a' na 'b' iri kureba kwemakumbo maviri anoumba kona yekurudyi.
Dzidziso iyi haisi mhedzisiro yakakosha yemasvomhu chete asiwo kuratidzwa kwechitendero chePythagorean chekuti nhamba nehukama hwenhamba ndizvo zvakakosha zvepasi rose. Mumuenzaniso wePythagorean, dzidziso iyi inobatanidza geometry nekuverenga, ichiratidza kuti nhamba dzinoronga sei chimiro chenzvimbo chaiyo.
Pythagoreanism: Nharaunda uye Zvisikwa Zvisiri Zvechokwadi
Pythagoreanism yakanga isiri seti yedzidziso dzemasvomhu nedzeuzivi chete, asiwo sangano rezvemweya nenzanga yechitendero. Nhengo dzenzanga yePythagorean dzaitevera mitemo chaiyo, kusanganisira kudya miriwo chete nemitemo yekuchena, pamwe nemhedziso dzavo dzetsika.
Zvisikwa zvePythagorean
Pythagoras aizivikanwawo semunhu asinganzwisisike. Vateveri vake vaitenda kuti mweya chisikwa chisingafi chiri kuberekwazve kakawanda uye kuti hupenyu hwenguva dzose uye hwekunamata hwaigona kuchenesa mweya kubva muzvakaipa uye kuusimudzira padanho repamusoro rehupenyu. Nhamba nehukama hwadzo zvaifungidzirwa kuti zvine basa rakakosha mukurongeka kwenyika nemweya.
Pythagoras akadzidzisawo kuti chinhu chose chine "nomos," kana mutemo wechisikigo , unogona kunzwisiswa kuburikidza nekudzidza nhamba nezvikamu. Semuenzaniso, mune hunyanzvi nemimhanzi, vaPythagoras vaishandisa misimboti yemasvomhu kuti vatsvage kurongeka uye kubatana.
Nhaka yaPythagoras muMasvomhu neUzivi
Nhaka yaPythagoras yakakura, inosanganisira mativi akawanda kunze kwemasvomhu. Uzivi hwake hwenhamba sehwaro hwezvinhu zvose hwakapesvedzera pfungwa dzeuzivi nesainzi dzemangwana.
Simba muMasvomhu
Zvakawanda zvezvakawanikwa kana kudzidzwa naPythagoras nevateveri vake zvakava hwaro hwekudzidza masvomhu kuri kuenderera mberi. Dzidziso yePythagorean ichiri imwe yepfungwa dzakakosha mumasvomhu uye ichiri kudzidziswa pasi rese.
Pesvedzero muUzivi
Pythagoras akapesvedzera vazivi vakawanda vakuru, kusanganisira Plato naAristotle. Plato, kunyanya, akafadzwa nepfungwa dzaPythagoras dzenhamba nekuwirirana kwezvinhu zvose uye akazvibatanidza muuzivi hwake. Pfungwa yaPlato ye "nyika yemazano," umo chokwadi chechokwadi chinogona kunzwisiswa chete kuburikidza neruzivo rwakachena kwete kunzwisisa kwepfungwa, yakafuridzirwa nemaonero aPythagoras enhamba nemasvomhu senzira yekunzwisisa zvakasikwa.
Mimhanzi uye Kuwirirana
Mipiro yaPythagoras mudzidziso yemimhanzi yaive yakakoshawo. Nheyo zhinji dzedzidziso yemimhanzi yekumadokero dzakavakirwa pane zvakawanikwa naPythagoras nezvehukama hwenhamba uye kugarisana. Maonero ekuti mimhanzi inogona kurongwa maererano nenheyo dzemasvomhu achiripo mudzidziso yemimhanzi nanhasi.
Mhedziso
Pythagoras nepfungwa dzenhamba hazviparadzanisike kubva munhoroondo yemasvomhu neuzivi hwekuMadokero. Nedzidziso dzake pamusoro pehunhu hwenhamba nekuwirirana kwepasi rose, Pythagoras akasiya nhaka inopfuura zvidzidzo nenguva. Kubva padzidziso dzejometri dzepamusoro kusvika kupfungwa dzenhema dzepasi rose, misimboti yaPythagoras inoramba yakakosha muzvikamu zvakawanda zvekudzidza nekuita.
Patinodzidza masvomhu kana kufunga nezverunako rwenyika, tinowanzo dzokera kunheyo dzakakosha dzakatanga kuumbwa naPythagoras nenharaunda yake. Mupfungwa iyi, Pythagoras nepfungwa dzenhamba ibhiriji rakakosha pakati pemasvomhu nepfungwa, zvichitiyeuchidza kuti nyika, nekuwirirana kwayo kwese nerunako, ichakavanzika chakamirira kutsanangurwa nenhamba nezvikamu zvakavanzwa pasi payo.
