The Golden alionse m'dzikoli pali - ndi ... golide gawo mapiramidi. Chilinganizo a chigawo golide

Masamu - yeniyeni ndi zovuta sayansi kuti pamene zonsezi ndi mtundu wa luso. Line, ndege, kuipa - zonse izi zimathandiza kuti kwambiri cha zinthu zodabwitsa. Ndipo oddly mokwanira, izi zachokera Masamu mu zosiyanasiyana ake. M'nkhaniyi tiona chinthu chimodzi zachilendo kwambiri, amene zokhudza izo. Gold gawo - izi ndi njira zojambula, tikambirana.

mawonekedwe a chinthu ndi maganizo ake

Ogwiritsa oongoka makamaka pa mawonekedwe a chinthu kuti azindikire izo, pakati pa anthu ena ambiri. mawonekedwe kudziŵa kuti chinthu ndi patsogolo pathu kapena waima kutali. Ife choyamba ndi anthu mawonekedwe thupi ndi nkhope. Choncho, tingakhulupirire amanena kuti mawonekedwe yokha, kukula kwake ndi mtundu - chimodzi mwa zinthu zofunika kwambiri maganizo a munthu.

Kwa anthu amene amapanga n'chiyaninso chimene chidwi kwa zifukwa ziwiri: mwina ndi kufunikira malinga ndi moyo, kapena wina wotchedwa zokongoletsa chimwemwe kukongola. Yabwino zithunzi kuzindikira ndi ubale mogwirizana ndi kukongola zimadza pamene wina anati mawonekedwe ntchito yomanga chosokonekera ndi ubale wapadera wotchedwa chiŵerengero golide.

Lingaliro la chigawo golide

Choncho, golide gawo - chagolidi zikutanthauza amenenso kugawanika amgwirizano. Pofuna talongosolani izi momveka bwino, taganizirani ena mawonekedwe makamaka. Ndicho, mawonekedwe ndi chinachake lonse, komanso ndi lonse nawonso, nthawi imakhala magawo angapo. mbali awa akhoza kukhala ndi makhalidwe osiyana, pa makulidwe osachepera osiyana. Koma miyeso ngati nthawi zonse mu chiŵerengero ena, onse okhaokha poyerekezera lonse.

Choncho, mwa kulankhula kwina, tikhoza kunena kuti fano chiŵerengero - chiŵerengero cha zedi awiri, amene ali chilinganizo yake. Kugwiritsa chiŵerengero izi kulenga njira zimathandiza kuti ngati wokongola ndi zogwirizana ndi diso la munthu.

Mbiri wakale wa chigawo golide

Chiŵerengero a chigawo golide amene amagwiritsidwa ntchito m'madera osiyanasiyana a moyo lero. Koma mbiri ya akuti amabwerera Kale pamene wakhanda ngati sayansi monga masamu komanso nzeru. Monga lingaliro sayansi chigawo golide anayamba kugwiritsa ntchito mu nthawi ya Pythagoras, ndicho mu VI m'ma BC. Koma ngakhale pamaso pa chidziwitso cha amenewa chiŵerengero, mu kuchita, ntchito ku Iguputo ndi Babulo. A umboni chapadera cha ichi ndi mapiramidi, zomwe ankagwiritsa ntchito yomanga amenewa chabe chiwerengero golide.

nyengo yatsopano

The Kubadwa Kwatsopano anali mpweya watsopano magawano amgwirizano, makamaka chiyamiko kuti Leonardo da Vinci. ubwenzi ochuluka anayamba ntchito mu sayansi ndi zovuta, monga masamu, komanso luso. Asayansi ndi ojambula zithunzi akhala kwambiri kwambiri kuphunzira golide gawo ndi kulenga mabuku kuti vuto ili.

Imodzi mwa ntchito zofunika kwambiri pa mbiri zokhudza chiŵerengero golide, - bukhu la Luka Pancholi amatchedwa "Molingana Mulungu". Azambiriyakale akuganiza kuti mafanizo m'buku lino zinalengedwa ndi Leonardo da Vinci.

Mawu akuti masamu a chiŵerengero golide

Masamu amapereka tanthauzo bwino kwambiri mofanana, lomwe limati Kuyanjana pakathi pa magawanidwe awiri. Mwamasamu, izi tingasonyezere aone kuti pali izi: a: b = ndi: D, kumene, b, c, anthu d - ndi phindu zina.

Ngati tikambirana chiwerengero cha gawo la, anagawa pawiri, akhoza kukumana zinthu zochepa zokha:

• gawo agawidwa awiri wofanana mbali mwamtheradi, choncho AB: AC = AB: BC, ngati AB - ichi ndi chiyambi yeniyeni ndi mapeto a gawo, ndi C - mfundo, zomwe ukugawa gawo m'magulu awiri ofanana.
• gawo agawidwa magawo awiri wosiyana, zimenezi mu magawo osiyana wina ndi mzake, chimene chikutanthauza kuti kwathunthu mofanana.
• gawo agawidwa kuti AB: AC = AC: Dzuwa

Koma gawo golide, ndi molingana ndi kutalika kwa gulu m'magulu wosiyana pakati pawo, pamene gawo lonse amatanthauza zambiri, monga gawo lalikulu kwambiri amatanthauza kocheperako. Pali chiphunzitso china: ang'onoang'ono gawo amatanthauza kotero lalikulu monga ikuluikulu gawo lonse. Kumbali masamu ndi motere: a: b = B m'ma kapena m'ma: b = B: a. Ndi mtundu uwu wa chilinganizo a chigawo golide.

The Golden alionse m'dzikoli pali M'chilengedwe

Golden gawo zitsanzo za zimene tikambirana chikukhudza chodabwitsa zosaneneka za chilengedwe. Ichi ndi chitsanzo chabwino kwambiri cha masamu zimene - si manambala basi ndi kachitidwe, ndi sayansi, amene ali chuma amangosonyeza chenicheni cha chikhalidwe ndi moyo wathu onse.

Pakuti zamoyo ndi imodzi mwa ntchito zazikulu za moyo - ndi kukula. Zinthu zimenezi kuti atenge malo awo mu mlengalenga, ndipotu ikuchitika m'njira zosiyanasiyana - ponso mpaka pafupifupi yopingasa kufalikira pamodzi pansi cockling ena thandizo. Ndipo ziribe kanthu kaya ndi zosaneneka, zomera zambiri kukula malinga ndi chiŵerengero golide.

Wina Ndipotu pafupifupi zosaneneka - ndi chiŵerengero cha abuluzi thupi. thupi lawo zikuwoneka zokondweretsa ndithu ndi diso la munthu, ndipo izi ndi zotheka chifukwa cha chiŵerengero golide. Kukhala yokwanira bwino, mchira kutalika amatanthauza kutalika kwa thupi lonse monga 62: 38.

Zosangalatsa za malamulo a chigawo golide

Gold gawo - ndipo ichi ndicho ndi mfundo zosaneneka, kutanthauza kuti m'mbiri tikhoza kukumana zambiri chidwi mfundo za chiwerengero chomwecho. Ife inu ena a iwo:

• Chiŵerengero golide ntchito mwakhama ntchito yomanga mapiramidi. Mwachitsanzo, dziko wotchuka Tutankhamun ndi Cheops anamangidwira ntchito chotero ubale. Ndipo chigawo golide wa piramidi Zatsala chinsinsi, chifukwa lero sakudziwa amangotchula kapena mwachindunji osankhidwa miyeso zoterozo zapansi awo ndi malo.
• Ulamuliro wa chigawo golide ndi bwino kuonekera wapakamwa wa Parthenon - imodzi mwa nyumba zokongola kwambiri zomangamanga a ku Girisi.
• N'chimodzimodzinso pomanga Cathedral wa Notre Dame (Notre-Dame de A Paris), si pamakoma, komanso mbali zina za dongosolo anamangidwira pamaziko a Molingana izi zitheke.
• Kamangidwe Russian angapezeke zitsanzo zambiri za nyumba zosaneneka, kugwilizana zonse ndi gawo golide.
• Zogwirizana magawano komanso chibadidwe ndi thupi la munthu, ndipo chotero chosema, makamaka mafano a anthu. Monga Apollon Belvedersky - fano, kumene msinkhu wa mzere umbilical lagawidwa mu gawo golide.
• Painting - zilili, makamaka mukamawerenga udindo wa Leonardo da Vinci m'mbiri ya chiŵerengero golide. Mona wake wotchuka Lisa, ndithudi, umamumvera chilamulo ichi.

Golden Gawo mu thupi

M'chigawo chino, tiyenera kutchula chidwi kwambiri munthu - ndicho, S. Zeising. A kafukufuku German amene achita ntchito yaikulu m'munda wa kuphunzira chiŵerengero golide. Atalemba ntchito lakuti "zokongoletsa Studies". Mu ntchito yake anapereka gawo golide ngati lingaliro mtheradi kuti ndi chilengedwe cha zochitika onse a mu chikhalidwe ndi mu luso. Apa ife tikhoza kukumbukira golide gawo mapiramidi pamodzi ndi zogwirizana chiwerengero cha thupi ndi zina zotero.

Iwo Zeising amatha kutsimikizira kuti chiŵerengero golide zoona, kumakhala malamulo zowerengera kwa thupi. Izi wasonyeza kuchita, chifukwa pa ntchito yake, iye anali kuyeza kwambiri Matupi ambiri a anthu. Mbiri yakale amanena kuti anthu oposa zikwi ziwiri nawo kuyesera. Malinga ndi kafukufuku Zeising chizindikiro chachikulu cha golide chiŵerengero - kugawikana kwa thupi kufika m'michombo lapansi. Motero, thupi mwamuna ndi chiŵerengero pafupifupi 13: 8 pang'ono pafupi ndi gawo golide kuposa akazi, momwe chiwerengero cha gawo golide ndi 8: 5. Komanso, chiwerengero cha golide zingaoneke m'madera ena a thupi, monga Mwachitsanzo, dzanja.

Pa pomanga gawo golide

Ndipotu, pomanga gawo golide - ndi losavuta mokwanira. Monga tikuonera, mtundu athane ndi mosavuta. Kodi kulankhula kwa chidziwitso ndi luso la anthu. M'nkhaniyi, ife siziziwoneka mmene tingachitire zimenezi chabe pa pepala ndi cholembera mu dzanja, koma ndi otetezeka kuti izi ndi zoona, nkotheka. Komanso, izo zikhoza kuchitidwa kutali njira zoposera imodzi.

Popeza ili ndi Masamu mwachilungamo wophweka, golide chiŵerengero ndi mwachilungamo wophweka kumanga, ngakhale mu sukulu. Choncho, mfundo mosavuta m'mabuku apadera. Kuphunzira golide gawo 6 kalasi sizim'vuta kumvetsa mfundo ya zomangamanga, lomwe limatanthauza kuti ngakhale ana ndi nzeru zokwanira kuti adziwe ntchito imeneyi.

Golden chiwerengero mu masamu

Kudziwana loyamba ndi gawo golide kuchita akuyamba ndi yosavuta gawo mzere wolekanitsa onse mu kufanana chomwecho. Nthawi zambiri zimenezi ndi mtsogoleri, kampasi ndipo, ndithudi, pensulo.

The zigawo za chiŵerengero golide chimaonetsera wopandamalire zopanda nzeru kachigawo AE = 0.618 ..., ngati AB amatengedwa ngati amodzi, KUKHALA = 0,382 ... Kuti kuwerengetsera izi bwino, nthawi zambiri ntchito si yeniyeni, koma mfundo zoyerekeza, ndicho - 0 62 0,38. Ngati gawo AB walandiridwa monga mbali 100, ambiri a iwo adzakhala wofanana 62, chabwino, ang'onoang'ono - 38 mbali, motero.

Chuma chachikulu cha chiŵerengero golide lofotokozeredwa ndi aone kuti pali kuti: X ² -x 1 = 0. Pothetsa tipeze mizu zotsatirazi: × = _1.2. Ngakhale masamu ndi lolondola ndi okhwima sayansi, komanso gawo ake - Masamu, koma kuti katundu monga chito golide chiŵerengero, amati chinsinsi za izo.

Mogwirizana luso kudzera gawo golide

Kulonga n'cigwagwa, tiyeni tione zimene zili anati.

Kwenikweni, pansi pa ulamuliro wa chiŵerengero golide umamumvera zitsanzo zambiri za luso, pamene anaona chiŵerengero pafupi 3/8 ndi 5/8. Ichi ndi chilinganizo akhakula chigawo golide. Nkhaniyi kale kwambiri zitsanzo za ntchito-gawo mtanda, koma kamodzinso ife timayang'ana pa izo kupyola mu prism luso zakale ndi zamakono. Motero, zitsanzo chidwi kwambiri akale:

• Golden Gawo mapiramidi a Cheops ndi Tutankhamun chimaoneka kulikonse: akachisi, anatsalira-ziboliboli, katundu wa m'nyumba ndipo, ndithudi, ulemerero m'manda kwambiri.
• Kachisi wa Seti Ine Abydos reliefs wotchuka ndi zithunzi zosiyana, zomwe zizigwirizana chilamulo chonse chomwecho.

Monga ntchito mwina kale amazindikira Molingana, ndiye, kuyambira nthawi ya Leonardo da Vinci, izo walowa mu ntchito pafupifupi m'magulu onse a moyo - ku sayansi ndi luso. Ngakhale sayansi ndi mankhwala atsimikizira golide chiŵerengero ntchito ngakhale mu zamoyo ndi tizilombo.