Bisector engela unxantathu

Uyini bisector ye-engeli unxantathu? On lo mbuzo abanye abantu nge ulimi ahlahlele eziyihlazo nesisho esithi: "Lena rat egijima ezungeza ezisemagumbini futhi sokuhlukanisa engeli nengxenye." Uma impendulo ukuba "ezihlekisayo" ke mhlawumbe ukuthi ilungile. Kodwa kusukela iphuzu zesayensi of umbono, impendulo kulo mbuzo kuzoba ezwakale esesho into enjengokuthi: "Lena ray kokuqala ekhoneni eliphezulu bese uhlukanisa yokugcina ibe izingxenye ezimbili alinganayo." I-geometry kwalesi sibalo futhi beqonda njengoba bisector ingxenye ukuba empambana yayo nge esesayidini unxantathu. Leli akulona iphutha. Yini enye mayelana bisector ye-engeli, kodwa ukuzimisela kwakhe laziwe?

Njenganoma iyiphi Locus amaphuzu, it has izici zayo siqu. Eyokuqala yalezi - kunalokho, ngisho uphawu, futhi theorem, okungase kafushane waveza kanje: ". Uma bisector i uhlangothi ihlukaniswe yaba izingxenye ezimbili, isimo sabo sengqondo zizongena nxazonke unxantathu omkhulu"

Impahla wesibili ukuthi unakho: iphuzu empambana we bisectors ka-engeli zonke ngokuthi intsentrom.

Isibonakaliso lwesithathu: i bisector elilodwa kwangaphakathi futhi ezimbili emakhoneni elingaphandle unxantathu aphambana esikhungweni omunye ke emibuthanweni ezintathu olotshiwe.

Okwesine bisector engela impahla unxantathu ukuthi uma ngamunye wabo ilingana, ke wesibili isosceles.

Isici lesihlanu ukukhathazeka efanayo unxantathu isosceles futhi iphuzu eliyinhloko reference for ukuqashelwa yayo kule bisectors we umdwebo, okungukuthi unxantathu equilateral, futhi ukhonza njengephayona lesemkhatsini futhi ukuphakama.

I bisector ye-engeli kwakhiwe ngokusebenzisa umbusi kanye ikhampasi:

Umthetho wesithupha ukuthi akunakwenzeka ukuba kwakhiwe unxantathu usebenzisa etholakalayo yakamuva kuphela uma bisectors njengento engenakwenzeka ukwakha ezifana ngendlela Ukubuyelela kabili cube, le squaring kwendilinga kanye trisection ye-engeli. Eqinisweni, it has zonke izakhiwo bisector ye-engeli unxantathu.

Uma uke ufunde isigaba odlule, kungenzeka ukuthi abanesifiso eyodwa ibinzana. "Uyini trisection ye-engeli?" - uqinisekile ukuthi ucele. Trisectors kancane afana bisector, kodwa uma draw wokugcina, i-engeli ihlukaniswe yaba izingxenye ezimbili alinganayo, futhi ukwakhiwa kwalesi trisection - ezintathu. Ngokwemvelo, lokhu kusho bisector lilondolozwe kalula, ngoba trisection esikoleni bengazifundisi. Kodwa ukuze isithombe siphelele bese ukhuluma ngalo.

Trisectors, njengoba ngishilo, awukwazi ukwakha umbusi onobulungisa ikhampasi, kodwa kungenzeka ukudala ngosizo imithetho Fujita futhi abanye Curves: umnenke Pascal, quadratrix, conchoid Nicomedes, izigaba conic, le-Archimedes Kuvunguza.

Imisebenzi ka trisection ye-engeli umane ixazululwe ngu ukwakhiwa neusis.

Ngo-geometry, kukhona theorem mayelana trisectors engela. Ubizwa ngokuthi i-theorem Morley (Morley). Yena uthi iphuzu empambana kukhona phakathi ikhona ngalinye ngeke trisectors vertices i unxantathu equilateral.

A amancane unxantathu black ngaphakathi esikhulu kube equilateral njalo. Lokhu theorem sitholwe ngumuntu British usosayensi Frenkom Morli ngo-1904.

Yilokho kangakanani ungafunda Ukuhlukaniswa trisectors ekhoneni bisector futhi njalo adinga incazelo eningiliziwe. Kodwa lapha sanikezwa okuningi akakasitsheli izincazelo yami: Umnenke Pascal conchoid Nicomedes, njll Ungakhathazeki, ungabhala ngazo nakakhulu.