Bisector engile lo nxantathu

Yintoni na ke bisector le engile lo nxantathu? Kulo mbuzo kwezinye abantu ulwimi uyazifohloza phantsi notorious esithi: "Lo nempuku abalekayo ejikeleza kwi iikona kwaye ukulaba engile kwisiqingatha." Ukuba impendulo ibe 'ezihlekisayo ", ngoko mhlawumbi oko luchanekile. Kodwa ukusuka kwindawo imbono yenzululwazi, impendulo yalo mbuzo kuya ndamgocagoca into efana nale: "Le ray eqala ngo kwikona ephezulu kwaye ukulaba yokugqibela ibe ngamaqela amabini alinganayo." Wew lo mzobo kwakhona waqonda njengoko bisector yabantu abangakwaziyo ukuya ekudibaneni kwawo icala lo nxantathu. Oku impazamo. Yintoni enye into eyaziwayo malunga bisector-angle, kodwa nokuzimisela kwakhe?

Njengalo naluphi kwiimfuno amanqaku, loo uneempawu zawo. Eyokuqala kwezi - kunoko, nkqu umqondiso, kwaye theorem, leyo zingaphawulwa ngokufutshane ngendlela ngolu hlobo lulandelayo: ". Ukuba bisector ye icala yahlulwe kubini, isimo sabo siya kufaneleka kumacala unxantathu omkhulu"

Ipropati yesibini kukuba iye: kwinqanaba ekudibaneni kwe-bisectors-engile yonke ekuthiwa intsentrom.

Umqondiso lesithathu: i bisector enye ngaphakathi ezimbini neekona zangaphandle nxantathu phambana xa kumbindi omnye emithathu izangqa sibhalwe.

Okwesine bisector engile mhlaba unxantathu kukuba xa ngamnye kubo ilingana, ngoko ke yokugqibela yi isosceles.

Olona phawu wesihlanu neenkxalabo efanayo unxantathu isosceles kwaye ingongoma ephambili yokusebenzisana ingqalelo yalo bisectors ze kumzobo, ezizezi, unxantathu alinganayo, kufeza kwakhona median kunye nobude.

Le bisector-angle nga wakhiwe ngokusebenzisa ngumlawuli kunye nekhampasi:

Umthetho yesithandathu kukuba akunakwenzeka ukwakha unxantathu usebenzisa efumanekayo yakutshanje kuphela xa bisectors njengokuzama ukwakha kabini indlela cube enjalo, squaring wesangqa kunye trisection i-engile. Enyanisweni, it has zonke iimpawu bisector le engile nxantathu.

Ukuba sele ufunde kumhlathi ongaphambili, kunokwenzeka ukuba nomdla binzana elinye. "Yintoni na trisection le angle?" - qinisekisa ukuba. Trisectors isuntswana ngokufanayo bisector, kodwa ukuba draw yokugqibela,-engile yahlulwe amabini alinganayo, kunye nokwakhiwa trisection - ezintathu. Ngokuqhelekileyo, le bisector igcinwa lula ngakumbi, kuba trisection esikolweni ke musa bafundise. Kodwa ukuze ugqibezele lo mfanekiso uze uthethe ngayo.

Trisectors, njengokuba benditshilo, awukwazi ukwakha umlawuli nje ikhampasi, kodwa kuyenzeka ukuba wenze ngoncedo imithetho Ndingumjita ona ezinye amagophe: foot NjengoPascal, quadratrix, conchoid Nicomedes, amacandelo gqiba, i Archimedes zikhula.

Imisebenzi ye trisection kwe-engile isonjululwe nje ukwakhiwa neusis.

Geometry, kukho theorem malunga trisectors-engile. Ibizwa ngokuba theorem Morley (Morley). Yena uthi kwindawo yonqumlo ezi embindini lembombo nganye iya trisectors eziphezulu ze unxantathu alinganayo.

A unxantathu encinane emnyama ngaphakathi enkulu kuhlala alinganayo. Le theorem yafunyanwa ngama zezenzululwazi yaseBritani Frenkom Morli ngo-1904.

Yiloo kangakanani ungafunda malunga kwisahlulo trisectors kwikona bisector kwaye isoloko ifuna inkcazelo eneenkcukacha. Kodwa apha anikwa iqashiso akazityhilanga iinkcazo zam: uMnenke UPascal conchoid Nicomedes, njl Musa ukuxhala, unako ubhale ngawo ngakumbi.