Bisector huina o ka triangle

He aha ka ka bisector o ka huina o ka triangle? Ma keia ninau i loko o kekahi kanaka me ka 'ōlelo, mai hemo mai ia notorious olelo: "He He iole e holo mai ana a puni i loko o nā kihi a me ka mahele ana i ka huina ma ka hapalua." Inā ka pane e e "Humorous", laila paha ia mea pololei. Akā, mai ka 'epekema wahi o Hawaii, ke pane i keia ninau, ina ua puhi i kekahi mea e like keia: "He He Ray e hoʻomaka ana i ka luna kihi a me ka mahele ana i ka hope, i loko o nā māhele like." Ke anahonua o keia huahelu ua i ike i ka bisector o ka Hoʻohana i kona kuʻina me kaʻaoʻao e ku pono ana o ka triangle. Kēia mea,ʻaʻole he kuhihewa. He aha hou aʻe ua ike e pili ana i ka bisector o ka huina, akā, manao paa?

E like me kekahi locus o nā kumu, ka mea, i kona mau ano. Ka mua o kēia mau - e aho,ʻaʻole i ka hoailona, a me ka theorem, i hiki ke nana pokole i hoike ia penei: ", Inā ka bisector o kekahi e ku ponoʻaoʻao i nā'āpanaʻelua, kā lākou e pili ana, e pono e kū'ē i kaʻaoʻao o ka triangle nui"

Ka lua o ka waiwai o ia mea i: ka wahi o ke kuʻina o ka bisectors o ka pana pua a pau i kapaʻia intsentrom.

Ke kolu o ka hoailona: o ka bisector o kekahi loko, aʻelua ma waho kihi o ka triangle intersect ma ka waena konu o kekahi o ka mea kākau koʻikoʻi a hanohano ekolu.

Eha bisector ka makau o ka triangle waiwai o ia, inā, ua like kela mea keia mea o lakou, alaila, i ka la mahope o isosceles.

I ka lima o ka hiʻona o ka mea pili o ka isosceles triangle, a o ke kumu nui wahi o ka pili no kona 'ike ai i loko o ka bisectors o ke kakau, oia, ma ka equilateral triangle, ia kekahi lawelawe' ana me ka Media a me ke kiekie.

Ke bisector o ka huina hiki ke? Ieoaeunoai ma ka hoʻohana 'ana i ka lula a me ka puni:

Ke ono o ka rula o ia mea, he mea hiki ole ke kükulu i kekahi triangle ka hoʻohana 'ana i ka hope i loaʻa wale ina na bisectors like ole e kūkulu ia i kekahi alanui a pāpālua hoʻi kupa, ka squaring o ka p ÷ a me ka trisection o ka huina. I mea, ia i nā mea a pau i ka waiwai o ka bisector o ka huina o ka triangle.

Inā ua heluhelu oe i ka mua paukū, he mea hiki ia oe e hoihoi i loko o kekahi hopuna'ōlelo. "He aha ka ka trisection o ka huina?" -ʻoiaʻiʻoʻoe e noi. Trisectors he iki i like i ka bisector, akā, inā i ka hope huki ai, ua maheleia ka huina i loko o nā like māhele, a ma ke kukulu o ka trisection - ekolu. Maoli ai, ka bisector ua waihonakala loa ke puana, no ka mea, ka mea e ole aku i trisection ma ke kula. Akā, e hoʻokō 'ia i ke kiʻi, a olelo no ia.

Trisectors, me aʻu i olelo aku, e hiki ole kūkulu i kekahi alii pono a me ka panana, akā, he mea hiki ke hana me ke kōkua o nā rula Fujita a me kekahi mau curves: Pascal hometa, quadratrix, conchoid Nicomedes, conic pauku, ke Archimedesʻoni iho.

Hana o ka trisection o ka huina wale Wehewehe i nā hāʻina ma ka neusis no? Ieoaeunoaa.

I ka anahonua, aia no he theorem e pili ana trisectors huina. Ua Ua kapaʻia ka theorem Morley (Morley). Ua hoʻopaʻapaʻa i ka wahi o ke kuʻina mea ma ka waena o kēlā me kēia kihi, e trisectors vertices o ka equilateral triangle.

A liʻiliʻiʻeleʻele triangle i loko o ka nui mau e equilateral. Kēia theorem Ua loaa ma ka Pelekāne nä känaka 'epekema Frenkom Morli i ka 1904.

A pehea ka nui o oe ke aʻo e pili ana i ka mahele o ke kihi bisector trisectors a mau koi i ka piha wehewehe. Akā, 'aneʻi mākou i hāʻawiʻia i ka hailona i ole hōʻike i kaʻu mau wehewehe: hometa Pascal conchoid Nicomedes, etc. Mai hopohopo, e hiki palapala e pili ana ia i hou.