Bisector angled of Triangle

Chii bisector pakati rekona of Triangle? On mubvunzo uyu mune vamwe vanhu vane mutauro anotanga nomukurumbira richiti: "Uyu ndiye munhu gonzo achimhanya mhanya makona uye kugovera pakona hafu." Kana mhinduro kuva "chinosetsa", ipapo zvichida kwakarurama. Asi kubva esayenzi maonero, mhinduro yemubvunzo uyu angadai akaridza chinhu chakadai: "Iyi ndiyo kachiedza kutanga kumusoro pakona kupatsanura ekupedzisira munzvimbo mbiri dzakaenzana zvikamu." The geometry pamusoro nhamba iyi zvakare panoonekwa sezvo bisector ari chidimbu kuti mharadzano ayo nevakomana divi Triangle. Iyi haisi chikanganiso. Chiizve chinozivikanwa pamusoro bisector pakati rekona, asi yake kutsunga?

Kungofanana locus pfungwa, ane pachake zvachiri. Chokutanga izvi - asi kwete kunyange chiratidzo, uye theorem no, iyo inogona zvishoma akaratidza sezvinotevera: ". Kana bisector ane rumwe rutivi muzvikamu zviviri, mafungiro avo achaita kukodzera kumativi ose Triangle guru"

The pfuma chechipiri ndechokuti ane: pfungwa mharadzano pakati bisectors pakati pamakona ose inonzi intsentrom.

The chiratidzo rwechitatu bisector mumwe chomukati uye maviri pamakona rwokunze Triangle piringisha nechepakati rimwe matatu yakanyorwa madenderedzwa.

Wechina bisector angled pamusoro Triangle pfuma ndechokuti kana mumwe wavo akaenzana, ipapo racho isosceles.

Wechishanu chinoratidza uyu ane isosceles netriangle uye ndiyo pfungwa huru panotaurwa kuti kuzivikanwa kwayo muna bisectors yacho kudhirowa, kureva, nenzira equilateral Triangle, izvozvo anoshumirawo somutariri evaMedhia uye kukwirira.

The bisector of pakona kunogona kuvakwa nokushandisa mutongi uye nekambasi:

Mutemo rechitanhatu ndechokuti hazvibviri kuvaka netriangle uchishandisa ichangoburwa zvinowanikwa chete kana bisectors sezvisingaiti kuvaka nenzira doubling kuutio, ari squaring pamusoro denderedzwa uye trisection pakati necheparutivi. Kutaura zvazviri, ane zvose ehupfumi ose bisector pakati rekona yacho Triangle.

Kana hamuna kuverenga rapfuura ndima, zvinokwanisika kuti uri kuziva mumwe wokuti. "Chii trisection ari pakona?" - chokwadi zvamunokumbira. Trisectors zvishoma akafanana bisector, asi kana rokupedzisira SWEDERA, pakona rakakamurwa maviri akaenzana kumativi, uye pakuvaka trisection - vatatu. Sezvinotarisirwa, bisector inochengeterwa nyore, nokuti trisection kuchikoro havasi kudzidzisa. Asi kupedza mufananidzo uye nezvazvo.

Trisectors, sezvandakareva, haugoni kuvaka mutongi wakarurama uye kambasi, asi zvinokwanisika kusika tichibatsirwa mitemo Fujita uye vamwe makakombama: Pascal nedhambakura, quadratrix, conchoid Nicomedes, conic zvikamu, ari Archimedes zononoka.

Mabasa ose trisection ane pakona nyore kugadziriswa neusis kuvakwa.

In geometry, pane theorem no pamusoro trisectors angled. Inonzi theorem no Morley (Morley). Iye anoti pfungwa mharadzano zviri pakati nomumwe pakona kuchaita trisectors vertices ane equilateral Triangle.

A duku dema, triangle mukati guru nguva dzose kuva equilateral. theorem no iyi yakawanikwa pedyo British musayendisiti Frenkom Morli muna 1904.

Ndizvo zvakadini unogona kudzidza pamusoro weboka wekona bisector trisectors uye nguva dzose zvinoda uchida tsananguro. Asi pano isu vakapiwa zvizhinji haana pachena tsanangudzo yangu: Snail Pascal conchoid Nicomedes, etc. Musafunganya, unogona kunyora nezvazvo kunyange zvakawanda.