Ko te paenga o te tapawhā kitea tatou he momo o huarahi

I te tahi taime, i mua i te tangata riro ake tata te hiahia ki te kitea te paenga o te tapawhā. Hei tauira, e hiahia ana koe ki te hanga i te taiepa a tawhio noa te rohe tapawha, wallpapered ruma tapawha ranei tuu i te taiepa o tapawha whakaata whare kanikani. Ki te tātai i te nui o rauemi e hiahiatia ana, he mea e tika ana ki te hanga tātai motuhake. A ko reira te reira, e kore e mohio ki pehea ki te kitea te paenga o te tapawhā, ka whai ki te whiwhi rauemi "i te kanohi". Te pai, ki te te reira pepapātū cheap, engari te whakaata anō i ka hoatu? A ki te kaimahi o te rauemi ka ko reira tino uaua ki te kitea he anō o te kounga kotahi.

Na, me pehea e koe e mohio he aha te mea te paenga o te tapawhā? E matau ana tatou e he rite ki te tapawhā rōpū katoa. A ki te mea te paenga - te moni o nga taha katoa o te taparau, e taea te tuhituhi te paenga o te tapawhā rite (q + q + q + q), i reira q - te uara tohu i te roa o tetahi taha o te tapawha. Noatia, te watea tino ko ki te whakamahi i whakarea. Ko te kupu, ko te paenga o te tapawhā - he uara whā e ōrite ana ki te roa o ona taha 4q ranei, te wahi q - taha.

Otira, ki te matau tatou anake te rohe o te tapawha, te paenga o e hiahia ana koe ki te kitea i roto i - he aha ki te mahi i roto i tenei take? Na ka ko tino māmā mea katoa! Mai i nga whika pai-mohiotia, i faaite rohe o te tapawha, e hiahia ana koe ki te hanga i te tangohanga o pakiaka tapawha. Ko te kupu ka kia kitea te uara o te tapawha. Na titiro hoki te paenga o te tapawhā, ko te tika kia rite ki te tātai ahu i runga ake.

Ko tētahi atu pātai, ki te hiahia koe ki te kitea te paenga o te tapawhā i runga i te hauroki. Here e ti'a ia tatou mahara te ture tauwehe a Pythagoras. A feruri i te tapawha ki te WR ngahere, hauroki. wehea WR te tapawha ki e rua waerite tika hāngai tapatoru. Ki te matau ana tatou ki te roa o te hauroki (herenga farii i te reira no te z, me te taha - mo u), ka me rapu te uara o te tapawha i runga i te pūtake o te tātai: he rite ki rua te tapawha o u, i nei deduce tatou te tapawha o z: he rite ki te pakiaka tapawha u, tiki tetahi-hawhe o te tāroa o te tapawha . Kei te muri te whakanui ake i te hua i te 4 wā - e te koutou me te paenga o te tapawhā!

Kimihia te aronga o te tapawha e taea e te pūtoro o te porowhita tuhituhia i roto i reira. I muri i te katoa, te porowhita, he mea tuhituhi pa taha katoa o te tapawha, te wahi te mutunga, ko - te diameter o te porohita rite ki te roa o te tapawhā. He diameter - Kei te mohiotia te reira ki te katoa - whawhati te pūtoro.

Ki te matau koutou ki te pūtoro ranei diameter o te porowhita circumscribed huri noa te tapawha, i konei e kite tatou e kua whakaritea nga akitū katoa wha o te tapawha i runga i te porohita. No reira, he rite ki te roa o te hauroki o te tapawha te diameter o te porowhita circumscribed. Ka mau i tenei āhuatanga rite te hoatu, aru e te tātai i te paenga o te tātai te rapu paenga o ona hauroki, kōrero i runga ake.

I te tahi taime te mahi i roto i nei e hiahia ana koe ki te kitea i roto i te mea ko te paenga o te tapawhā, tuhituhi nei i roto i te waerite tapatoru tika kia e hāngai ana tetahi kokonga o te tapawha ki te koki tika o te tapatoru. Kia mohiotia ko te waewae o te ahua āhuahanga. Rawea, rite tapatoru wer, ai E ko he akitu noa.

Ka tapawha tuhia kia tohua ETYU. Ko taha ET i te taha o WE, me te taha o EU - i te taha o te ER. takoto Y akitu i runga i te WR tāroa. Whakaaro tātuhi atu, e taea te unu whakatau:

1. WTY - waerite tapatoru, no te mea o te huru wer - tikanga waerite, EWR koki ko 45 nga nekehanga, me te tapatoru hua - ki te koki tapawhā i te turanga, me te 45 nga nekehanga, e taea ana ki a tatou kauwhautia ana waerite. whai te reira e te WT = ty.
2. Ty = ET rite nga taha o te tapawha.
3. I muri i te hātepe taua, ahu tatou i te whai ake: YU = UR, ko UR = EU.
4. Ka taea te māngai taha o te tapatoru rite te moni o nga wāhanga. EW = ET + TW, a ER = EU + UR.
5. Whakakapi rite wāhanga, deduce tatou: EW = AND + Ty, a ER = EU + UY.
6. Ki te whakahuatia te paenga o te tapawhā mea tuhituhi e tātai (ET + ty) + (EU + UY), i roto i etahi atu ara e taea te tuhituhi i te reira, te tikanga e anake te uara ahu o nga taha tapatoru, rite EW + ER. Ko, he rite ki te moni o te tahi atu e rua taha te paenga o te tapawhā tuhituhi i roto i te tapatoru tapawhā ki te ōrite koki matau.

Tenei, o te akoranga, e kore kōwhiringa katoa hoki te tātai i te paenga o te tapawhā, ko anake te noa tino. Ko e hāngai ana katoa o ratou i runga i te meka e te paenga o te tapawhā - he uara whakarāpopoto o ona taha katoa. Na i reira te kahore mawhiti!