Umlinganiselo Golden - a ... iiphiramidi icandelo segolide. Ifomula kwesigaba segolide

Geometry - inzululwazi ngqo yaye unzima xa konke oku hlobo zobugcisa. Line, lo moya, olinganise - konke oku kuyanceda ukwenza izinto ezininzi ezimangalisayo ngokwenene. Kwaye Isimanga, le isekelwe phezu geometry kuyo ngeendlela ezahlukahlukeneyo yayo. Kweli nqaku siza kukhangela kwenye into engaqhelekanga kakhulu, oludityaniswe ngqo nayo. icandelo Gold - le ndlela yokubala, nto leyo eza kuxoxwa.

ukuma into umbono wayo

Abasebenzisi bakhokelwa kakhulu kwi imilo le into ukuze siqaphele phakathi izigidi zabanye. Loo fomu sithole yintoni loo nto ephambi kwethu okanye umi kude. Siya kuqala ukwazi abantu ukuma umzimba nobuso. Ngoko ke, singakwazi ngokuzithemba singabhengeza ukuba ifom ngokwayo, ubukhulu bayo kunye nohlobo - enye yezona zinto zibalulekileyo ngokweembono bomntu.

Kuba abantu zenze into enye umdla ngenxa yezizathu ezibini eziphambili: noba yenza kube yimfuneko lilawulwe ngobomi, okanye enye into okuthiwa injabulo ubuhle ukusuka ubuhle. Imbono intle ezibonwayo kunye ubumnandi kunye nobuhle liza xa umntu ebona ifomu ezisetyenziswa kulwakhiwo macala kunye nolwalamano olukhethekileyo, ekuthiwa ratio segolide.

Ingcamango icandelo segolide

Ngoko ke, eli candelo yegolide - a kusho egolide, awanenzelayo kwakhona ukwahlukana harmonic. Ukuze achaze oku ngokucacileyo, cinga imilo ethile ethile. Oko kukuthi, imilo yinto yonke, yaye yonke, neliya, usoloko luqulathe ungamalungu amaninzi. Ezi izabelo kusenokwenzeka ukuba iimpawu ezahlukeneyo, ubuncinane abe nobukhulu obahlukeneyo. Kodwa imilinganiso enjalo kusoloko kukho umlinganiselo othile, kokubini bodwa kwaye ngokunxulumene lonke.

Ngoko ke, ngamanye amazwi, singatsho ukuba umlinganiselo wegolide - umlinganiselo omyinge amabini, nto leyo eye ifomula yalo. Ukusebenzisa le Umlinganiselo ukudala iifom kunceda ukuba kube njengento entle gingxi emehlweni oluntu.

Ukusuka kwimbali yamandulo icandelo segolide

Umlinganiselo kwicandelo yegolide isoloko isetyenziswa kwiindawo ezininzi ezahlukileyo ebomini namhlanje. Kodwa ke imbali gama ebuyela kumaxesha amandulo xa ebuntwaneni Sciences njengemathematika kunye nefilosofi. Njengengqiqo kwicandelo yegolide zenzululwazi weza zisetyenziswe ngexesha Pythagoras, elileli, i-VI BC. Kodwa phambi kokuba ulwazi of a ratio enjalo, xa kusenziwa, esetyenziswa eYiputa yamandulo neBhabhiloni. A ubungqina iphawulekayo zoku iiphiramidi, ezo zasetyenziselwa ukwakha nje golden enjalo.

ixesha entsha

I Renaissance waba nomoya omtsha ngokwahlulwa harmonic, ingakumbi ngenxa uLeonardo da Vinci. Le budlelwane kakhulu baqala ukusebenzisa iinzululwazi nzima, ezifana geometry, ngokunjalo zobuciko. Oosonzululwazi kunye namagcisa baninzi kakhulu ukufunda icandelo segolide nokudala iincwadi ukuba lo mba.

Enye imisebenzi zembali ezibalulekileyo ezinxulumene umlinganiselo wegolide, - incwadi Luke Pancholi ngokuba "inani kaThixo". Ababhali-mbali barhanela ukuba imifanekiso kule ncwadi yenziwa yi uLeonardo da Vinci.

Ukuzibonakalisa ngokwezibalo of ireshiyo segolide

Mathematics inika inkcazo ecacileyo kakhulu zinkulu, nto leyo ithi ukulingana ngokulinganayo ezimbini. Ngokwezibalo, oku iyakubonakaliswa kule nxaki: a: b = a: d, apho kukho, b, c, d - lixabiso elithile.

Xa siqwalasela umyinge we-ceke, uwahlule ube zahlulo ezimbini, oko ukuhlangabezana iimeko kuphela ezimbalwa:

• Ingxenye yahlulwe kubini ngokulinganayo ngokupheleleyo, yaye ke ngoko AB: AC = AB: BC, ukuba AB - esi sisiqalo ngqo kunye nesiphelo ceke, no C - ingongoma, leyo yahlula ingxenye ibe ngamaqela amabini alinganayo.
• Ingxenye yahlulwe kubini ngokungalinganiyo, nto leyo kuba ngumlinganiselo ezahlukeneyo enye kwenye, nto leyo ethetha ukuba ngokupheleleyo zinkulu.
• Ingxenye yahlulwe ukuze AB: AC = AC: iLanga

Njengoko kuba icandelo segolide, oko ngokomlinganiselo ubude kwicandelo lezabelo olungalinganiyo phakathi kwabo, xa yonke ingxenye libhekisela becala, njengoko inxalenye enkulu kakhulu libhekisela omnye ezincinane. Kukho omnye kuqulunqo: ingxenye ezincinane libhekisela enkulu ukuze ubukhulu yonke ingxenye. Ngokwamanani zezibalo ngayo ngolu hlobo lulandelayo: i: b = b: c okanye c: b = b: a. Yile uhlobo formula kwicandelo yegolide.

Umlinganiselo Golden in Nature

icandelo Golden, imizekelo apho ngoku cinga inxulumene isenzeko engakholelekiyo wendalo. Lo ngumzekelo omhle kakhulu oko izibalo - akukho amanani nje kunye neefomula, nenzululwazi, leyo ngaphezu ngumfanekiso yokwenene endalo kunye nobomi bethu ngokubanzi.

Ngokuba izinto eziphilayo omnye wemisebenzi engundoqo wobomi - oku kukhula. Loo mnqweno ukuthatha indawo yabo isithuba, enyanisweni, kwenziwa ngeendlela ezininzi - ukwanda up phantse tyaba ekusasazeni kunye emhlabeni okanye cockling kwi ethile inkxaso. Kwaye akunamsebenzi nokuba njani na, yinto eningenakukholwa yiyo, zininzi nezityalo ezikhula ngokungqinelana ne-ratio yegolide.

Enye into emangalisayo - lulwahlulo le ntulo zomzimba. umzimba yabo ubheka ncam ezikholekileyo emehlweni abantu, yaye oku Bulelani kunokwenzeka ukuba ratio segolide. Ukuze ube ngqo ngakumbi, ubude bawo umsila ibhekisa ubude umzimba wonke njenge 62: 38.

iinyani ezinika umdla malunga imithetho icandelo segolide

icandelo Gold - oku ngokwenene ingcamango emangalisayo, nto leyo ethetha ukuba ukutyhubela imbali sikwazi ukuhlangabezana lukhulu izibakala ngokwenene umdla malunga inani elifanayo. Sinikela kuwe inxenye kubo:

• Umlinganiselo yegolide athathe asetyenziswe ekwakheni iiphiramidi. Umzekelo, edumileyo Tutankhamun kunye Cheops kwakhiwa kusetyenziswa ngokunxulumene ezinjalo. Kwaye icandelo segolide zepiramidi uyakuhlala mfihlakalo, kuba nanamhla akazi ngokungakhathali okanye ngokukodwa ukhethe nemilinganiselo enjalo bajula eziphakamileyo zabo.
• Ulawulo icandelo segolide ibonakala ngokucacileyo emva kodonga kuyo itempile iParthenon - omnye izakhiwo ezininzi ezintle sesakhiwo Greece yamandulo.
• Kukwasebenza kwanjalo kuyo Isakhiwo Cathedral of Notre Dame (yaseNotre-Dame de Paris), akukho olungaphambili kuphela, kodwa ezinye iindawo lwesakhiwo esakhiwe ngokusekelwe lo myinge emangalisayo.
• Nakubugcisa Russian inokufumaneka imizekelo emininzi izakhiwo emangalisayo, ngokuthobela ngokupheleleyo kwicandelo yegolide.
• division Elivisisanayo kwakhona lokuba umzimba womntu, kwaye ngoko ke imikrolo, ingakumbi eqingqiweyo zabantu. Ezifana Apollon Belvedersky - oqingqiweyo, apho ukuphakama umgca yosana wahlulwe kwicandelo segolide.
• Painting - ibali ezahlukeneyo, ingakumbi xa siqwalasela indima uLeonardo da Vinci kwimbali umlinganiselo wegolide. odumileyo Mona Lisa wakhe, Kakade ke, kuxhomekeke kulo mthetho.

Icandelo Golden emzimbeni womntu

Kweli candelo, kufuneka ukhankanye umntu ebalulekileyo kakhulu - ezizezi, S. Zeising. Umphandi German owenze umsebenzi omhle kakhulu kwinkalo yesifundo ye-ratio segolide. Wapapasha umsebenzi othi "Studies imizwa". Xa umsebenzi wakhe Wayisondeza icandelo golden ingcamango ngokupheleleyo oko jikelele zonke nesenzeko zombini kwindalo kunye nobugcisa. Apha sinokukhumbula iiphiramidi kwicandelo yegolide kunye inani evumelanayo umzimba womntu njalo njalo.

It Zeising akwazi ukungqina ukuba umlinganiselo wegolide, enyanisweni, ube umthetho avareji manani kuba umzimba womntu. Oku kuye kubonisiwe practice, kuba ngexesha umsebenzi wakhe kwafuneka ukulinganisa ezininzi imizimba yabantu. Ababhali-mbali baqikelela ukuba ngaphezu kwamawaka amabini abantu bathatha inxaxheba kule experiment. Ngokutsho isifundo Zeising, isalathisi iphambili ratio zegolide - ukwahlulwa komzimba ingongoma inkaba. Ngenxa yoko, umzimba inkunzi enomlinganiselo avareji ye-13: 8 bit kufutshane kwicandelo yegolide ngaphezu oyinkazana, apho inani candelo golden 8: 5. Kwakhona, umyinge yegolide ibonakala kwamanye amalungu omzimba, ezifana, ngokomzekelo, isandla.

Ekwakhiweni kwicandelo yegolide

Enyanisweni, ulwakhiwo icandelo yegolide - elula ngokwaneleyo. Njengoko ubona, abantu bamandulo abanyamezela kuba lula. Yintoni ukuba bathethe ulwazi kunye nobugcisa babantu. Kweli nqaku, asiyi sibonise indlela oku kunokwenziwa ngokulula ephepheni nepensile esandleni, kodwa kukhuselekile bathi oku, enyanisweni, kunokwenzeka. Ngaphezu koko, oko kunokwenziwa kude indlela ngaphezu kwesinye.

Ukusukela ukuba oku geometry noko elula, umlinganiselo golden ngobulungisa elula ukwakha, nkqu esikolweni. Ngoko, ulwazi kube lula afumaneka kwiincwadi ezikhethekileyo. Ukufunda segolide udidi yecandelo 6 uyakwazi ngokupheleleyo ukuqonda imigaqo kokwakhiwa wayo, nto leyo ethetha ukuba nkqu kids smart ngokwaneleyo uyoyiswa umsebenzi onjalo.

Umlinganiselo Golden kwimathematika

I omaziyo sokuqala secandelo yegolide kulo mkhuba iqala ngala mazwi alula umgca ungumqobo icandelo zonke olinganise efanayo. Kaninzi oku kwenziwa nomlawuli, ikhampasi kunye, kakade, lepensile.

Ezi ziqwempu of ireshiyo segolide va iqhekeza njengokuba ongapheliyo ezingenangqondo AE = 0.618 ..., ukuba AB kuthathwe njengeyunithi, BE = 0,382 ... Ukuze ukwenza ezi zibalo practical ngakumbi, badla ayikho ngqo, kodwa amaxabiso ilingane, ezizezi - 0 62 no-0.38. Ukuba ingxenye AB ithathwa njenge zitho-100, uninzi iya kulingana nama-62, kakuhle, ezincinane - 38 iindawo, ngokulandelelana.

Ipropati iphambili ratio yegolide ukuze oluvakaliswe lenxaki: x ² -x 1 = 0. Ekusombululeni sifumana iingcambu ilandelayo: x = _1.2. Nangona izibalo isayensi echanileyo engqongqo, ngokunjalo kwicandelo layo - wew geometry, kodwa iimpawu ezifana iipatheni ratio yegolide, kubonisa imfihlelo ngalo.

Hi ku wobugcisa kwicandelo segolide

Ngamafuphi, makhe sihlolisise ngokufutshane oko kakade.

Ngokusisiseko, phantsi kolawulo ratio segolide ixhomekeke imizekelo emininzi zobugcisa, apho wabona ratio kufutshane 3/8 no 5/8. Le indlela rough kwicandelo yegolide. Eli nqaku sele wakhankanya yokwenza imizekelo yokusetyenziswa cross-candelo, kodwa kwakhona sijonga kuyo ngokusebenzisa bemilo yobugcisa amandulo mihla. Ngenxa yoko, le mizekelo iphawulekayo kumaxesha amandulo:

• Golden Icandelo ngemfumba Cheops kunye Tutankhamun sibonakaliswa yonke: iitempile, uBharnabhas-imikrolo, izinto zasekhaya kwaye, kakade, uhombiso amangcwaba kanye.
• Temple of Seti I e Abydos imikrolo dumeke kunye nemifanekiso eyahlukeneyo, zonke ezo bahambelana wonke umthetho efanayo.

Ke ukuba ukusetyenziswa mhlawumbi sele abazi zinkulu, ngoko, ukususela kwixesha uLeonardo da Vinci, iye ingene ukusetyenziswa phantse onke amacandelo wobomi - ukusuka inzululwazi kunye nobugcisa. Nkqu eziphilayo namayeza ababonise ukuba umlinganiselo wegolide usebenza kwiinkqubo zokuphila eziphilayo.