I-Euclid kanye nenhlangano yejometri

euclid inhlangano yejometri

U-Euclid wayeyisazi sezibalo esingumGreki esaphila ngekhulu lesi-XNUMX BC futhi waziwa ngokuba umbhali wencwadi ethi “The Elements”, enye yezincwadi ezinethonya elikhulu emlandweni wejiyomethri nezibalo jikelele. Izazi-mlando eziningi ziye zaba nesithakazelo I-Euclid kanye nenhlangano yejometri.

Kulesi sihloko sizokutshela konke okudingeka ukwazi mayelana ne-biography nezenzo zika-Euclid kanye nenhlangano yejometri.

I-Biography ka-Euclid kanye nenhlangano yejometri

imishwana yezibalo

Kuncane okwaziwayo ngempilo ka-Euclid. Wazalelwa edolobheni lase-Alexandria, e-Egypt, futhi kukholakala ukuthi wafunda khona Plato's Academy e-Athene ngaphambi kokubuyela e-Alexandria ukuyofundisa eMtatsheni Wezincwadi wase-Alexandria. Lapho, u-Euclid wazinikela ophenyweni nasekufundiseni ijometri nezibalo, futhi waziwa njengomunye wabasunguli besikole sezibalo sase-Alexandria.

Incwadi ka-Euclid edume kakhulu ithi "The Elements", incwadi enevolumu eyishumi nantathu ekhuluma nge-geometry kanye nethiyori yezinombolo. Incwadi ihlelwe ngendlela ehlelekile, iqala ngezincazelo eziyisisekelo nama-postulates, bese ithuthukisa imibono evela kuzo. Indlela ka-Euclid eqinile nenengqondo yokuhlela i-geometry ibe nomthelela omkhulu ekuthuthukisweni kwezibalo nesayensi jikelele.

Ku-"The Elements" U-Euclid wasungula ama-postulates amahlanu ayisisekelo ayisisekelo se-Euclidean geometry.. Lawa ma-postulates aqinisekisa ukuthi amaphuzu amabili angahlanganiswa ngomugqa oqondile, noma yimuphi umugqa oqondile unganwetshwa unomphela, umbuthano ungakhiwa nganoma yisiphi isikhungo kanye ne-radius, wonke ama-angles alungile ayalingana futhi, ekugcineni, ukuthi uma umugqa oqondile owela Uma imigqa emibili eqondile yakha ama-engeli angaphakathi ohlangothini olufanayo isamba sayo singaphansi kwama-engeli angakwesokudla, bese imigqa emibili eqondile, uma inwebeka unomphela, iyohlangana kulolo hlangothi.

U-Euclid uphinde wasungula isibalo esikhulu sethiyori encwadini yakhe.noma, ezinye zazo ezaziwa kakhulu, njengemfundiso kaPythagorean kanye nethiyori kaThales. Ngokuvamile, incwadi ka-Euclid ethi "The Elements" ithathwa njengomsebenzi wobuciko wenhlangano yejometri nezibalo, futhi isifundwe futhi yasetshenziswa njengereferensi emhlabeni wonke amakhulu eminyaka.

Ubuntwana nezifundo

Ngeshwa Kuncane kakhulu okwaziwayo ngobuntwana buka-Euclid. njengoba ulwazi oluningi ngaye lusekelwe emsebenzini wakhe kanye nefa lakhe lezibalo. Usuku lokuzalwa kwakhe alwaziwa ngokuqiniseka, futhi nemininingwane yomndeni wakhe noma imfundo yakuqala.

Kukholakala ukuthi u-Euclid wazalwa cishe ngo-325 BC e-Alexandria, e-Egypt, idolobha ngaleso sikhathi elalichuma njengesikhungo sobuhlakani nesayensi. Idolobha lalinomtapo wolwazi omkhulu owaba yikhaya lezazi eziningi ezinkulu zangaleso sikhathi, kuhlanganise no-Euclid.

Kukholakala ukuthi u-Euclid wafunda e-Plato's Academy e-Athens ngaphambi kokuba abuyele e-Alexandria eyofundisa emtatsheni wezincwadi. Lapho, wazinikela ocwaningweni nasekufundiseni izibalo, futhi wasungula isikole sezibalo esaba ngesinye sezibaluleke kakhulu ngaleso sikhathi.

Naphezu kokuntuleka kolwazi mayelana nobuntwana bakhe, U-Euclid waziwa ngokushiya ifa elihlala njalo emlandweni wezibalo, ikakhulukazi enhlanganweni yejometri. Umsebenzi wakhe othi "The Elements" uhlala ungomunye wemisebenzi ebaluleke kakhulu futhi enethonya emlandweni wezibalo, futhi uye wafundwa futhi wasetshenziswa njengereferensi emhlabeni wonke amakhulu eminyaka.

Imisebenzi emikhulu ka-Euclid kanye nenhlangano yejometri

i-euclid inhlangano yejometri kuzibalo

Ngaphezu kobuciko bakhe obuhle kakhulu obuthi "The Elements", u-Euclid wenza igalelo elibalulekile kwizibalo nejometri. Nazi ezinye zezenzo zakhe ezinhle kakhulu:

  • Isisekelo seSikole Sezibalo sase-Alexandria: U-Euclid wasungula isikole sezibalo e-Alexandria, esaba ngesinye sezikhungo ezibaluleke kakhulu zocwaningo lwezibalo ngaleso sikhathi. Lesi sikole saheha abafundi abaningi nezifundiswa eziphuma kuwo wonke umhlaba, saba yindawo lapho kwakushintshana khona ngemibono nezingxoxo zezibalo.
  • Ukuthuthukiswa kwejometri ye-Euclidean: U-Euclid waziwa ngokwenza i-Euclidean geometry, esekelwe emibhalweni emihlanu eyisisekelo futhi osekungamakhulu eminyaka iyisisekelo sejiyomethri. Lawa ma-postulates afaka i-parallel postulate kanye nethiyori ye-Pythagorean.
  • Ukuchazwa kwe "The Elements": Umsebenzi wakhe othi "The Elements" uthathwa njengomsebenzi wobuciko wenhlangano yezibalo, futhi uye wafundwa futhi wasetshenziswa njengereferensi emhlabeni wonke amakhulu eminyaka. Incwadi ihlelwe ngendlela ehlelekile futhi eqinile, isungula amathiyori amaningi abalulekile ku-geometry kanye nethiyori yezinombolo.
  • I-Proportions theorem: U-Euclid wakha i-theorem yezilinganiso, ethi uma izingxenye ezine zakha isilinganiso, khona-ke izilinganiso phakathi kwemikhiqizo yokweqisa kanye nezindlela ziyalingana.
  • Iminikelo kuthiyori yezinombolo: U-Euclid uphinde waba negalelo elibalulekile kuthiyori yezinombolo, okuhlanganisa nobufakazi bokuthi kunezinombolo eziyinhloko ezingenasiphelo, kanye nethiyori yokuthi noma iyiphi inombolo ephelele ingahlanganiswa ibe ama-primes ngendlela eyodwa kuphela.

U-Euclid uthathwa njengomunye wongoti bezibalo ababaluleke kakhulu emlandweni, futhi amagalelo akhe ku-geometry nezibalo abe nomthelela waphakade ekuthuthukisweni kwesayensi nobuchwepheshe.

ukuthuthuka kwezibalo

isazi sezibalo se-euclid

Ukuthuthuka kwakhe kube nomthelela ohlala njalo emlandweni wezibalo futhi kube nesandla ekuthuthukisweni kwayo okuqhubekayo.

Mayelana nejometri, U-Euclid wabeka izisekelo ze-Euclidean geometry., esekelwe eqoqweni lezimiso eziyisisekelo kanye nemithetho ebanjwayo. Le geometry yasetshenziswa njengesibonelo sokutadisha i-geometry emakhulwini eminyaka alandela, futhi isafundwa futhi isetshenziswa nanamuhla. Ngaphezu kwalokho, u-Euclid wakha ama-theorems amaningi abalulekile ku-geometry, okuhlanganisa nethiyori ye-Pythagorean, esho ubuhlobo phakathi kwezinhlangothi zikanxantathu ongakwesokudla, ne-theorem yezilinganiso, esho ubuhlobo phakathi kwezigaba zomugqa.

U-Euclid uphinde wenza igalelo elibalulekile kuthiyori yezinombolo, kuhlanganise nobufakazi bokuthi kunezinombolo ezingenamkhawulo eziningi eziyinhloko kanye ne-Fundamental Theorem of Arithmetic, ethi noma iyiphi inamba ingafakwa ku-primes ngendlela eyodwa kuphela. Lokhu kuthuthuka kwabeka isisekelo sokuthuthuka okuqhubekayo kwethiyori yezinombolo kanye nokusetshenziswa kwayo ekubhalweni kwemfihlo kanye nokubhalwa kwedatha.

Ngaphezu kwalokho, u-Euclid wayeyingqalabutho enhlanganweni yezibalo, esungula indlela eqinile nehlelekile yokwethulwa kwethiyori nobufakazi. Umsebenzi wakhe othi "The Elements" uthathwa njengemodeli yenhlangano yezibalo futhi uye wafundwa futhi wasetshenziswa njengereferensi emhlabeni wonke amakhulu eminyaka.

Ngithemba ukuthi ngalolu lwazi ungafunda kabanzi nge-Euclid kanye nenhlangano yejometri.


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