Bisector kwana na alwatika

Mene ne bisector na kwana na alwatika? A wannan tambaya a cikin wasu mutane da harshen karya saukar sananne maganarsu: "Wannan shi ne wani bera yanã gudãna a kusa a cikin sasanninta, kuma rarraba kwana a rabin." Idan amsar ya zama "m", to, watakila shi ne daidai. Amma daga kimiyya ra'ayi, amsar wannan tambaya zai yi busa wani abu kamar haka: "Wannan shi ne wani ray fara a saman kusurwar da kuma rarraba karshen cikin biyu daidai sassa." A lissafi na wannan adadi ne ma ya gane a matsayin bisector na kashi don ta rarrabawa da kishiyar sashi na alwatika. Wannan ba wani kuskure. Abin da kuma aka sani a game da bisector na kwana, amma ta tabbatar da dalilin?

Kamar yadda da kowane wuri da maki, shi yana da halaye. A farko daga cikin wadannan - m, ba ko wata ãyã, kuma Theorem, wanda za a iya taƙaice bayyana kamar haka: "Idan bisector na wani gefen kasu kashi biyu, su hali zai dace da a kewaye da manyan alwatika."

Na biyu dukiya shi ne cewa shi yana da: batu na rarrabawa da bisectors na kusassari duk kira intsentrom.

The uku ãyã: da bisector na daya ciki da kuma biyu m sasanninta na alwatika rarraba a tsakiyar daya daga cikin uku shi ne rubũtacce da'irori.

Fourth bisector kwana na alwatika dukiya ne cewa idan kowane daga cikinsu shi ne daidai, sa'an nan da karshen ne isosceles.

A karo na biyar alama na wannan damuwar wani isosceles alwatika kuma shi ne babban batu na reference domin ta fitarwa a cikin bisectors na zane, wato, a cikin wani equilateral alwatika, shi ma da hidima a matsayin mai tsakãtsaki ce da tsawo.

A bisector na kwana za a iya gina ta hanyar yin amfani da wani shugaba da kamfas:

The shida mulki ne cewa ba shi yiwuwa a yi a alwatika amfani da latest samuwa ne kawai idan bisectors kamar yadda ba zai yiwu ba, don gina irin wannan hanyar anya shigen sukari, da squaring daga cikin da'irar da trisection na wani kwana. A gaskiya, shi yana duk da kaddarorin na bisector na kwana na alwatika.

Idan ka karanta baya sakin layi, yana yiwuwa cewa kana sha'awar daya jumlar. "Mene ne trisection na kwana?" - tabbata ka tambaye. Trisectors a bit kama da bisector, amma idan na karshe Draw, da kwana ne zuwa kashi biyu daidai sassa, da kuma a cikin shiri na trisection - uku. Babu shakka, da bisector aka adana mafi sauƙi, saboda trisection a makaranta ba su koya. Amma don kammala hoton da magana game da shi.

Trisectors, kamar yadda na ce, ba za ka iya gina wani mulki na adalci da kuma kamfas, amma yana yiwuwa su haifar da da taimakon dokoki Fujita da kuma wasu masu lankwasa: Pascal katantanwa, quadratrix, conchoid Nicomedes, conic sassan, da Archimedes karkace.

Ayyuka na trisection na wani kwana kawai warware ta neusis yi.

A lissafi, akwai wani Theorem game trisectors kwana. Shi ne ake kira mai Theorem Morley (Morley). Ta bayar da hujjar cewa batu na mahada ne a tsakiyar kowane kusurwa zai trisectors vertices na wani equilateral alwatika.

A kananan baki alwatika cikin babban ko da yaushe zama equilateral. Wannan Theorem aka gano ta a Burtaniya masanin kimiyya Frenkom Morli a 1904.

Wannan nawa za ka iya koyi game da rabo daga cikin kusurwa bisector trisectors da kuma ko da yaushe bukatar wani cikakken bayani. Amma a nan an bã mu mai yawa ya ba su bayyana na ma'anar: katantanwa Pascal conchoid Nicomedes, da dai sauransu Kada ku damu, ba za ka iya rubuta game da su ko fiye.