Kuenzana kweTrigonometric muPiramidhi: Ongororo yeMasvomhu Ekare neMagadzirirwo
Mapiramidhi ekuIjipita, kunyanya Piramidhi Guru reGiza, ave kwenguva refu ari chiratidzo chehunyanzvi hwekuvaka hwevanhu uye chakavanzika chisina kugadziriswa. Zvivakwa izvi hazvingoshamisi chete muhukuru hwazvo uye kururama kwazvo, asiwo zvinopa ruzivo rwakawanda kune vanoongorora masvomhu, kunyanya mukushandiswa kwetrigonometry. Chinyorwa chino chinoongorora kuti matekiniki etrigonometric nepfungwa zvakashandiswa sei mukugadzirwa kwemapiramidhi ekuIjipita uye nei zviyero zvetrigonometric zvichikosha mukunzwisisa tekinoroji iyi yekare yekuvaka.
1. Nhoroondo Pfupi yeMapiramidhi eIjipita
Mapiramidhi eIjipita zvivakwa zvikuru zvakavakwa semakuva evanafarao nemadzimambokadzi muchitendero chekare cheIjipita chehupenyu hwepashure perufu. Piramidhi yekare inozivikanwa iPiramidhi yaDjoser paSaqqara, yakavakwa panguva yeDzinza rechitatu naImhotep, muvaki wezvivakwa ane mukurumbira munhoroondo yekare yeIjipita. Nheyo huru yekuvakwa kwemapiramidhi yakaitika panguva yeDzinza rechina, nePiramidhi Guru reGiza, rakavakirwa Farao Khufu kunenge muna 2580–2560 BC.
2. Trigonometry: Pfungwa Dzekutanga uye Mashandisirwo
Trigonometry ibazi remasvomhu rinoongorora hukama huripo pakati pemakona nehurefu hwemativi mumakona matatu. Pfungwa huru dzetrigonometry dzinosanganisira mabasa esine (sin), cosine (cos), uye tangent (tan) emakona emakona matatu. Mabasa aya matatu ane chekuita nehurefu hwemativi emakona matatu erudyi uye anobatsira pakuverenga makona nemativi asingazivikanwe.
Panyaya yekuvaka piramidhi, trigonometry inoshandiswa kuona materu emativi nepamusoro pepiramidhi. Pfungwa mbiri huru dzetrigonometric dzinoshandiswa kazhinji ndedzekuti "kutsveyama," uko kunowanzo kuyerwa nemadhigirii kana kuti ma radiant, uye "kutsveyama," uko kune chekuita nechiyero chiri pakati pedivi rakapesana negumbo retriangle muchimiro chekutsveyama kwepiramidhi.
3. Kushandiswa kweTrigonometry muKugadzira Piramidhi
Tichidzokera kunguva yekare macalculator nemakomputa asati avapo, trigonometry yekare ingaita seinoshamisa. Zvisinei, vagadziri vekare vekuIjipita vakashandisa neunyanzvi pfungwa huru dzetrigonometric mukuvaka mapiramidhi, akadai seGreat Pyramid.
a. Angle yeKutenderera kwePiramidhi
Piramidhi Guru reGiza rine mukwidza chaiwo weanenge madhigirii 51,5. Vakazviita sei izvi? Ngationgororei tichishandisa trigonometry. Kana tikafunga nezvetriangle yekurudyi yakaumbwa nehafu yehwaro hwepiramidhi, kukwirira kwepiramidhi, uye hypotenuse kubva pahwaro kusvika pamusoro, tinogona kushandisa basa retangent.
Tangent yekona yekutsveyama (θ) inhamba yehurefu hwepiramidhi (h) kusvika hafu yehurefu hwehwaro hwepiramidhi (b/2).
Kana d iri kureba kwehwaro hwepiramidhi, saka:
tan(θ) = h / (d / 2)
Nekona yekutsvedza yakaverengerwa se51,5 degrees, tinowana:
tan(51.5°) ≈ 1.273
Izvi zvinoreva kuti chiyero chehurefu hwepiramidhi kusvika hafu yehurefu hwehwaro hwayo chinofanira kunge chiri 1.273. Izvi zvinotibvumira kufungidzira hurefu hwepiramidhi kana hurefu hwehwaro hwayo huchizivikanwa.
b. Kushandisa Pfungwa yePythagorean
Kupfuura basa re tangent, dzidziso yePythagorean inoshandiswawo kuona kuti zviyero zviri mukuvaka piramidhi zvakarurama. Kune triangle yekurudyi yambotaurwa, tinogona kushandisa dzidziso yePythagorean:
a² + b² = c²
Apo a iri kureba kwepiramidhi, b iri hafu yehurefu hwehwaro, uye c iri kureba kwakatsetseka kwepiramidhi.
4. Humbowo hwekushandiswa kweTrigonometry neVagadziri Vekare
Kunyange hazvo vazhinji vachiti vaIjipita vekare vangave vaisaziva nezvepfungwa dzetrigonometry, zvechokwadi vaive neruzivo rwakakwana rwekushandisa matekiniki akafanana. Humbowo hwehuwandu hwepamusoro hwekururama hunoratidza kuti vaive nenzira dzepamusoro dzekuyera nekuronga.
Vagadziri venguva iyoyo vanozivikanwa kuti vaishandisa nzira ye'seked' yekuyera makona vachishandisa maoko neminwe. Munzira iyi, 'ruoko' rumwe rwaive rwakaenzana nehurefu hwakati, uye 'munwe' mumwe chete waive chidimbu chidiki - chakafanana zvikuru nepfungwa yemazuva ano yetrigonometry, iyo inokamura makona kuita zvikamu.
5. Kuenzanisa kweTrigonometric Pakati pePiramidhi
Kunze kweGreat Piramidhi, haasi mapiramidhi ese ekuEgypt anotevedzera angle yakafanana yekutsvedza. Semuenzaniso:
– Piramidhi Tsvuku kuDahshur ine kona yakatetepa yekutsvedza inosvika madhigirii makumi mana nematatu, kusiyana nekona yekutsvedza yePiramidhi Guru reGiza.
– Piramidhi Yakakotama, inozivikanwa nekuchinja kwayo kona yekutsvedza kubva pamadhigirii makumi mashanu nemana kusvika pamadhigirii makumi mana nematatu pakati.
Kusiyana uku kunoratidza kuti vagadziri vekare vakaedzawo makona akasiyana uye matekiniki, vachigadzira mapiramidhi ane huwandu hwakasiyana uye chitarisiko.
6. Kesimpulan
Kusanganisa ruzivo rwezvakacherwa mumatongo nemasvomhu, kuongorora mapiramidhi etrigonometric kunoratidza hunyanzvi hwemaitiro ekuvaka ekare. Havana kungoverenga makona nematanho chete neunyanzvi hungaita sehwechinyakare asi hwaishanda zvikuru. Kushandiswa kwetrigonometry kwakagonesa kugadzirwa kwezvivakwa zvaive zvisina kungova zvakakura chete asiwo zvakasimba pakururama uye zvakaenzana.
Nekunzwisisa mashandisirwo etrigonometry kumapiramidhi aya, hatingooni chete hunyanzvi hweinjiniya hweIjipita yekare asiwo tinodzidza zvakawanda nezvenhoroondo yekuvandudzwa kwemasvomhu mukuvaka kwekare. Mapiramidhi aya anomira sehumbowo hukuru hwekubatana kweunyanzvi nesainzi kwakasvika pakakwirira zvikuru zviuru zvemakore tekinoroji yedu yemazuva ano isati yavapo.
